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Loft Angle | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 |
Face Height | 0.5 | 0.55 | 0.6 | 0.65 | 0.7 | 0.75 | 0.8 | 0.85 | 0.9 | 0.95 | 1 | 1.05 | 1.1 | 1.15 | 1.2 | 1.25 | 1.3 | 1.35 | 1.4 | 1.45 | 1.5 |
Calculations | |||||||||||||||||||||
A = | 0.002 | 0.002 | 0.003 | 0.003 | 0.003 | 0.003 | 0.003 | 0.004 | 0.004 | 0.004 | 0.004 | 0.005 | 0.005 | 0.005 | 0.005 | 0.005 | 0.006 | 0.006 | 0.006 | 0.006 | 0.007 |
C = | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
h = | 0.002 | 0.002 | 0.003 | 0.003 | 0.003 | 0.003 | 0.003 | 0.004 | 0.004 | 0.004 | 0.004 | 0.005 | 0.005 | 0.005 | 0.005 | 0.005 | 0.006 | 0.006 | 0.006 | 0.006 | 0.007 |
Diameter = | 28.649 | 31.514 | 34.379 | 37.244 | 40.109 | 42.974 | 45.839 | 48.704 | 51.569 | 54.434 | 57.299 | 60.164 | 63.029 | 65.893 | 68.758 | 71.623 | 74.488 | 77.353 | 80.218 | 83.083 | 85.948 |
D = | 0.250 | 0.275 | 0.300 | 0.325 | 0.350 | 0.375 | 0.400 | 0.425 | 0.450 | 0.475 | 0.500 | 0.525 | 0.550 | 0.575 | 0.600 | 0.625 | 0.650 | 0.675 | 0.700 | 0.725 | 0.750 |
B = | 0.250 | 0.275 | 0.300 | 0.325 | 0.350 | 0.375 | 0.400 | 0.425 | 0.450 | 0.475 | 0.500 | 0.525 | 0.550 | 0.575 | 0.600 | 0.625 | 0.650 | 0.675 | 0.700 | 0.725 | 0.750 |
E = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.225 | 0.238 | 0.250 | 0.263 | 0.275 | 0.288 | 0.300 | 0.313 | 0.325 | 0.338 | 0.350 | 0.363 | 0.375 |
“Y” = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.225 | 0.238 | 0.250 | 0.263 | 0.275 | 0.288 | 0.300 | 0.313 | 0.325 | 0.338 | 0.350 | 0.363 | 0.375 |
“X” = | 14.324 | 15.757 | 17.189 | 18.621 | 20.054 | 21.486 | 22.919 | 24.351 | 25.783 | 27.216 | 28.648 | 30.081 | 31.513 | 32.945 | 34.378 | 35.810 | 37.243 | 38.675 | 40.108 | 41.540 | 42.972 |
Roll Radius | 14.325 | 15.757 | 17.190 | 18.622 | 20.055 | 21.487 | 22.919 | 24.352 | 25.784 | 27.217 | 28.649 | 30.082 | 31.514 | 32.947 | 34.379 | 35.812 | 37.244 | 38.677 | 40.109 | 41.542 | 42.974 |
Loft Angle | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
Face Height | 0.5 | 0.55 | 0.6 | 0.65 | 0.7 | 0.75 | 0.8 | 0.85 | 0.9 | 0.95 | 1 | 1.05 | 1.1 | 1.15 | 1.2 | 1.25 | 1.3 | 1.35 | 1.4 | 1.45 | 1.5 |
Calculations | |||||||||||||||||||||
A = | 0.004 | 0.005 | 0.005 | 0.006 | 0.006 | 0.007 | 0.007 | 0.007 | 0.008 | 0.008 | 0.009 | 0.009 | 0.010 | 0.010 | 0.010 | 0.011 | 0.011 | 0.012 | 0.012 | 0.013 | 0.013 |
C = | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
h = | 0.004 | 0.005 | 0.005 | 0.006 | 0.006 | 0.007 | 0.007 | 0.007 | 0.008 | 0.008 | 0.009 | 0.009 | 0.010 | 0.010 | 0.010 | 0.011 | 0.011 | 0.012 | 0.012 | 0.013 | 0.013 |
Diameter = | 14.327 | 15.760 | 17.192 | 18.625 | 20.058 | 21.490 | 22.923 | 24.356 | 25.788 | 27.221 | 28.654 | 30.086 | 31.519 | 32.952 | 34.384 | 35.817 | 37.250 | 38.683 | 40.115 | 41.548 | 42.981 |
D = | 0.250 | 0.275 | 0.300 | 0.325 | 0.350 | 0.375 | 0.400 | 0.425 | 0.450 | 0.475 | 0.500 | 0.525 | 0.550 | 0.575 | 0.600 | 0.625 | 0.650 | 0.675 | 0.700 | 0.725 | 0.750 |
B = | 0.250 | 0.275 | 0.300 | 0.325 | 0.350 | 0.375 | 0.400 | 0.425 | 0.450 | 0.475 | 0.500 | 0.525 | 0.550 | 0.575 | 0.600 | 0.625 | 0.650 | 0.675 | 0.700 | 0.725 | 0.750 |
E = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.225 | 0.238 | 0.250 | 0.263 | 0.275 | 0.288 | 0.300 | 0.313 | 0.325 | 0.338 | 0.350 | 0.363 | 0.375 |
“Y” = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.225 | 0238 | 0.250 | 0.263 | 0.275 | 0.288 | 0.300 | 0.313 | 0.325 | 0.338 | 0.350 | 0.363 | 0.375 |
“X” = | 7.162 | 7.879 | 8.595 | 9.311 | 10.027 | 10.744 | 11.460 | 12.176 | 12.892 | 13.608 | 14.325 | 15.041 | 15.757 | 16.473 | 17.190 | 17.906 | 18.622 | 19.338 | 20.055 | 20.771 | 21.487 |
Roll Radius | 7.163 | 7.880 | 8.596 | 9.312 | 10.029 | 10.745 | 11.461 | 12.178 | 12.894 | 13.611 | 14.327 | 15.043 | 15.760 | 16.476 | 17.192 | 17.909 | 18.625 | 19.341 | 20.058 | 20.774 | 21.490 |
Loft Angle | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 |
Face Height | 0.5 | 0.55 | 0.6 | 0.65 | 0.7 | 0.75 | 0.8 | 0.85 | 0.9 | 0.95 | 1 | 1.05 | 1.1 | 1.15 | 1.2 | 1.25 | 1.3 | 1.35 | 1.4 | 1.45 | 1.5 |
Calculations | |||||||||||||||||||||
A = | 0.007 | 0.007 | 0.008 | 0.009 | 0.009 | 0.010 | 0.010 | 0.011 | 0.012 | 0.012 | 0.013 | 0.014 | 0.014 | 0.015 | 0.016 | 0.016 | 0.017 | 0.018 | 0.018 | 0.019 | 0.020 |
C = | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 |
h = | 0.007 | 0.007 | 0.008 | 0.009 | 0.009 | 0.010 | 0.010 | 0.011 | 0.012 | 0.012 | 0.013 | 0.014 | 0.014 | 0.015 | 0.016 | 0.016 | 0.017 | 0.018 | 0.018 | 0.019 | 0.020 |
Diameter = | 9.554 | 10.509 | 11.464 | 12.420 | 13.375 | 14.330 | 15.286 | 16.241 | 17.197 | 18.152 | 19.107 | 20.063 | 21.018 | 21.973 | 22.929 | 23.884 | 24.840 | 25.795 | 26.750 | 27.706 | 28.681 |
D = | 0.250 | 0.275 | 0.300 | 0.325 | 0.350 | 0.375 | 0.400 | 0.425 | 0.450 | 0.475 | 0.500 | 0.525 | 0.550 | 0.575 | 0.600 | 0.625 | 0.650 | 0.675 | 0.700 | 0.725 | 0.750 |
B = | 0.250 | 0.275 | 0.300 | 0.325 | 0.350 | 0.375 | 0.400 | 0.425 | 0.450 | 0.475 | 0.500 | 0.525 | 0.550 | 0.575 | 0.600 | 0.625 | 0.650 | 0.675 | 0.700 | 0.725 | 0.750 |
E = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.225 | 0.238 | 0.250 | 0.263 | 0.275 | 0.288 | 0.300 | 0.313 | 0.325 | 0.338 | 0.350 | 0.363 | 0.375 |
“Y” = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.225 | 0.238 | 0.250 | 0.263 | 0.275 | 0.288 | 0.300 | 0.313 | 0.325 | 0.338 | 0.350 | 0.363 | 0.375 |
“X” = | 4.775 | 5.253 | 5.730 | 6.208 | 6.685 | 7.163 | 7.640 | 8.118 | 8.695 | 9.073 | 9.550 | 10.028 | 10.505 | 10.983 | 11.460 | 11.938 | 12.416 | 12.893 | 13.371 | 13.848 | 14.326 |
Roll Radius | 4.777 | 5.255 | 5.732 | 6.210 | 6.688 | 7.165 | 7.643 | 8.121 | 8.598 | 9.076 | 9.554 | 10.031 | 10.509 | 10.987 | 11.464 | 11.942 | 12.420 | 12.897 | 13.375 | 13.853 | 14.330 |
Loft Angle | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
Face Height | 0.5 | 0.55 | 0.6 | 0.65 | 0.7 | 0.75 0.8 | 0.85 | 0.9 | 0.95 | 1 | 1.05 | 1.1 | 1.15 | 1.2 | 1.25 | 1.3 | 1.35 | 1.4 | 1.45 | 1.5 | |
Calculations | |||||||||||||||||||||
A = | 0.009 | 0.010 | 0.010 | 0.011 | 0.012 | 0.013 | 0.014 | 0.015 | 0.016 | 0.017 | 0.017 | 0.018 | 0.019 | 0.020 | 0.021 | 0.022 | 0.023 | 0.024 | 0.024 | 0.025 | 0.026 |
C = | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 |
h = | 0.009 | 0.010 | 0.010 | 0.011 | 0.012 | 0.013 | 0.014 | 0.015 | 0.016 | 0.017 | 0.017 | 0.018 | 0.019 | 0.020 | 0.021 | 0.022 | 0.023 | 0.024 | 0.024 | 0.025 | 0.026 |
Diameter = | 7.168 | 7.885 | 8.601 | 9.318 | 10.035 | 10.752 | 11.468 | 12.185 | 12.902 | 13.619 | 14.336 | 15.052 | 15.769 | 16.486 | 17.203 | 17.919 | 18.636 | 19.353 | 20.070 | 20.787 | 21.503 |
D = | 0.250 | 0.275 | 0.300 | 0.325 | 0.350 | 0.375 | 0.400 | 0.425 | 0.450 | 0.475 | 0.500 | 0.525 | 0.550 | 0.575 | 0.600 | 0.625 | 0.650 | 0.675 | 0.700 | 0.725 | 0.750 |
B = | 0.250 | 0.275 | 0.300 | 0.325 | 0.350 | 0.375 | 0.400 | 0.425 | 0.450 | 0.475 | 0.500 | 0.525 | 0.550 | 0.575 | 0.600 | 0.625 | 0.650 | 0.675 | 0.700 | 0.725 | 0.750 |
E = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.225 | 0.238 | 0.250 | 0.263 | 0.275 | 0.288 | 0.300 | 0.313 | 0.325 | 0.338 | 0.350 | 0.363 | 0.375 |
“Y” = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.225 | 0.238 | 0.250 | 0.263 | 0.275 | 0.288 | 0.300 | 0.313 | 0.325 | 0.338 | 0.350 | 0.363 | 0.375 |
“X” = | 3.582 | 3.940 | 4.298 | 4.656 | 5.014 | 5.373 | 5.731 | 6.089 | 6.447 | 6.085 | 7.163 | 7.522 | 7.880 | 8.238 | 8.596 | 8.954 | 9.312 | 9.671 | 10.029 | 10.387 | 10.745 |
Roll Radius | 3.584 | 3.942 | 4.301 | 4.659 | 5.017 | 5.376 | 5.734 | 6.093 | 6.451 | 6.809 | 7.168 | 7.526 | 7.885 | 8.243 | 8.601 | 8.960 | 9.318 | 9.677 | 10.035 | 10.393 | 10.752 |
Loft Angle | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 | 2.5 |
Face Height | 0.5 | 0.55 | 0.6 | 0.65 | 0.7 | 0.75 | 0.8 | 0.85 | 0.9 | 0.95 | 1 | 1.05 | 1.1 | 1.15 | 1.2 | 1.25 | 1.3 | 1.35 | 1.4 | 1.45 | 1.5 |
Calculations | |||||||||||||||||||||
A = | 0.011 | 0.012 | 0.013 | 0.014 | 0.015 | 0.016 | 0.017 | 0.019 | 0.020 | 0.021 | 0.022 | 0.023 | 0.024 | 0.0225 | 0.026 | 0.027 | 0.028 | 0.0.029 | 0.031 | 0.032 | 0.033 |
C = | 0.000 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 |
h = | 0.011 | 0.012 | 0.013 | 0.014 | 0.015 | 0.016 | 0.017 | 0.019 | 0.020 | 0.021 | 0.022 | 0.023 | 0.024 | 0.025 | 0.026 | 0.027 | 0.028 | 0.029 | 0.031 | 0.032 | 0.033 |
Diameter = | 5.737 | 6.311 | 6.884 | 7.458 | 8.032 | 8.605 | 9.179 | 9.753 | 10.326 | 10.900 | 11.474 | 12.047 | 12.621 | 13.195 | 13.768 | 14.342 | 14.916 | 15.490 | 16.063 | 16.637 | 17.211 |
D = | 0.250 | 0.275 | 0.300 | 0.325 | 0.350 | 0.375 | 0.400 | 0.425 | 0.450 | 0.475 | 0.500 | 0.525 | 0.550 | 0.575 | 0.600 | 0.625 | 0.650 | 0.675 | 0.700 | 0.725 | 0.750 |
B = | 0.250 | 0.275 | 0.300 | 0.325 | 0.350 | 0.375 | 0.400 | 0.425 | 0.450 | 0.475 | 0.500 | 0.525 | 0.550 | 0.575 | 0.600 | 0.625 | 0.650 | 0.675 | 0.700 | 0.725 | 0.750 |
E = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.225 | 0.238 | 0.250 | 0.263 | 0.275 | 0.288 | 0.300 | 0.313 | 0.325 | 0.338 | 0.350 | 0.363 | 0.375 |
“Y” = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.225 | 0.238 | 0.250 | 0.263 | 0.275 | 0.288 | 0.300 | 0.313 | 0.325 | 0.338 | 0.350 | 0.363 | 0.375 |
“X” = | 2.866 | 3.152 | 3.439 | 3.725 | 4.012 | 4.299 | 4.585 | 4.872 | 5.158 | 5.445 | 5.731 | 6.018 | 6.305 | 6.591 | 6.878 | 7.164 | 7.451 | 7.737 | 8.024 | 8.311 | 8.597 |
Roll Radius | 2.868 | 3.155 | 3.442 | 3.729 | 4.016 | 4.303 | 4.589 | 4.876 | 5.163 | 5.450 | 5.737 | 6.024 | 6.311 | 6.597 | 6.884 | 7.171 | 7.458 | 7.745 | 8.032 | 8.318 | 8.605 |
Loft Angle | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
Face Height | 0.5 | 0.55 | 0.6 | 0.65 | 0.7 | 0.75 | 0.8 | 0.85 | 0.9 | 0.95 | 1 | 1.05 | 1.1 | 1.15 | 1.2 | 1.25 | 1.3 | 1.35 | 1.4 | 1.45 | 1.5 |
Calculations | |||||||||||||||||||||
A = | 0.013 | 0.014 | 0.016 | 0.017 | 0.018 | 0.020 | 0.021 | 0.022 | 0.024 | 0.025 | 0.026 | 0.027 | 0.029 | 0.030 | 0.031 | 0.033 | 0.034 | 0.035 | 0.037 | 0.038 | 0.039 |
C = | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 |
h = | 0.013 | 0.014 | 0.016 | 0.017 | 0.018 | 0.020 | 0.021 | 0.022 | 0.024 | 0.025 | 0.026 | 0.028 | 0.029 | 0.030 | 0.031 | 0.033 | 0.034 | 0.035 | 0.037 | 0.038 | 0.039 |
Diameter = | 4.783 | 5.262 | 5.740 | 6.218 | 6.697 | 7.175 | 7.653 | 8.132 | 8.610 | 9.088 | 9.567 | 10.045 | 10.523 | 11.002 | 11.480 | 11.958 | 12.437 | 12.915 | 13.393 | 13.872 | 14.350 |
D = | 0.250 | 0.275 | 0.300 | 0.325 | 0.350 | 0.375 | 0.400 | 0.425 | 0.450 | 0.475 | 0.500 | 0.525 | 0.550 | 0.575 | 0.600 | 0.625 | 0.650 | 0.675 | 0.700 | 0.725 | 0.750 |
B = | 0.250 | 0.275 | 0.300 | 0.325 | 0.350 | 0.375 | 0.400 | 0.425 | 0.450 | 0.475 | 0.500 | 0.525 | 0.550 | 0.575 | 0.600 | 0.625 | 0.650 | 0.675 | 0.700 | 0.725 | 0.750 |
E = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.225 | 0.238 | 0.250 | 0.263 | 0.275 | 0.288 | 0.300 | 0.313 | 0.325 | 0.338 | 0.350 | 0.363 | 0.375 |
“Y” = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.225 | 0.238 | 0.250 | 0.263 | 0.275 | 0.288 | 0.300 | 0.313 | 0.325 | 0.338 | 0.350 | 0.363 | 0.375 |
“X” = | 2.388 | 2.627 | 2.866 | 3.105 | 3.344 | 3.583 | 3.821 | 4.060 | 4.299 | 4.538 | 4.777 | 5.016 | 5.255 | 5.493 | 5.732 | 5.971 | 6.210 | 6.449 | 6.688 | 6.926 | 7.165 |
Roll Radius | 2.392 | 2.631 | 2.870 | 3.109 | 3.348 | 3.588 | 3.827 | 4.066 | 4.305 | 4.544 | 4.783 | 5.023 | 5.262 | 5.501 | 5.740 | 5.979 | 6.218 | 6.458 | 6.697 | 6.936 | 7.175 |
Loft Angle | 3.5 | 3.5 | 3.5 | 3.5 | 3.5 | 3.5 | 3.5 | 3.5 | 3.5 | 3.5 | 3.5 | 3.5 | 3.5 | 3.5 | 3.5 | 3.5 | 3.5 | 3.5 | 3.5 | 3.5 | 3.5 |
Face Height | 0.5 | 0.55 | 0.6 | 0.65 | 0.7 | 0.75 | 0.8 | 0.85 | 0.9 | 0.95 | 1 | 1.05 | 1.1 | 1.15 | 1.2 | 1.25 | 1.3 | 1.35 | 1.4 | 1.45 | 1.5 |
Calculations | |||||||||||||||||||||
A = | 0.015 | 0.017 | 0.018 | 0.020 | 0.021 | 0.023 | 0.024 | 0.026 | 0.027 | 0.029 | 0.031 | 0.032 | 0.034 | 0.035 | 0.037 | 0.038 | 0.040 | 0.041 | 0.043 | 0.044 | 0.046 |
C = | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.001 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.003 | 0.003 | 0.003 | 0.003 |
h = | 0.015 | 0.017 | 0.018 | 0.020 | 0.021 | 0.023 | 0.024 | 0.026 | 0.028 | 0.029 | 0.031 | 0.032 | 0.034 | 0.035 | 0.037 | 0.038 | 0.040 | 0.041 | 0.043 | 0.044 | 0.046 |
Diameter = | 4.103 | 4.513 | 4.923 | 5.334 | 5.744 | 6.154 | 6.564 | 6.975 | 7.385 | 7.795 | 8.206 | 8.616 | 9.026 | 9.436 | 9.847 | 10.257 | 10.667 | 1.077 | 11.488 | 11.898 | 12.308 |
D = | 0.250 | 0.275 | 0.300 | 0.325 | 0.350 | 0.375 | 0.400 | 0.425 | 0.450 | 0.475 | 0.500 | 0.525 | 0.550 | 0.575 | 0.600 | 0.625 | 0.650 | 0.675 | 0.700 | 0.725 | 0.750 |
B = | 0.250 | 0.275 | 0.300 | 0.325 | 0.350 | 0.375 | 0.400 | 0.425 | 0.450 | 0.475 | 0.500 | 0.525 | 0.550 | 0.575 | 0.600 | 0.625 | 0.650 | 0.675 | 0.700 | 0.725 | 0.750 |
E = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.225 | 0.238 | 0.250 | 0.263 | 0.275 | 0.288 | 0.300 | 0.313 | 0.325 | 0.338 | 0.350 | 0.363 | 0.375 |
“Y” = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.225 | 0.238 | 0.250 | 0.263 | 0.275 | 0.288 | 0.300 | 0.313 | 0.325 | 0.338 | 0.350 | 0.363 | 0.375 |
“X” = | 2.048 | 2.252 | 2.457 | 2.662 | 2.867 | 3.071 | 3.276 | 3.481 | 3.686 | 3.890 | 4.095 | 4.300 | 4.505 | 4.709 | 4.914 | 5.119 | 5.324 | 5.528 | 5.733 | 5.938 | 6.143 |
Roll Radius | 2.051 | 2.257 | 2.462 | 2.667 | 2.872 | 3.077 | 3.282 | 3.487 | 3.692 | 3.898 | 4.103 | 4.308 | 4.513 | 4.718 | 4.923 | 5.128 | 5.334 | 5.539 | 5.744 | 5.949 | 6.154 |
Loft Angle | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
Face Height | 0.5 | 0.55 | 0.6 | 0.65 | 0.7 | 0.75 | 0.8 | 0.85 | 0.9 | 0.95 | 1 | 1.05 | 1.1 | 1.15 | 1.2 | 1.25 | 1.3 | 1.35 | 1.4 | 1.45 | 1.5 |
Calculations | |||||||||||||||||||||
A = | 0.017 | 0.019 | 0.021 | 0.023 | 0.024 | 0.026 | 0.028 | 0.030 | 0.031 | 0.033 | 0.035 | 0.037 | 0.038 | 0.040 | 0.042 | 0.044 | 0.045 | 0.047 | 0.049 | 0.051 | 0.052 |
C = | 0,001 | 0.001 | 0.001 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.003 | 0/003 | 0/003 | 0.003 | 0.003 | 0.003 | 0.003 | 0.003 | 0.004 | 0.004 |
h = | 0.017 | 0.019 | 0.021 | 0.023 | 0.024 | 0.026 | 0.028 | 0.030 | 0.031 | 0.033 | 0.035 | 0.037 | 0.038 | 0.040 | 0.042 | 0.044 | 0.045 | 0.047 | 0.049 | 0.051 | 0.052 |
Diameter = | 3.593 | 3.952 | 4.311 | 4.670 | 5.030 | 5.389 | 5.748 | 6.108 | 6.467 | 6.826 | 7.185 | 7.545 | 7.904 | 8.263 | 8.622 | 8.982 | 9.341 | 9.700 | 10.059 | 10.419 | 10.778 |
D = | 0.249 | 0.274 | 0.299 | 0.324 | 0.349 | 0.374 | 0.399 | 0.424 | 0.449 | 0.474 | 0.499 | 0.524 | 0.549 | 0.574 | 0.599 | 0.623 | 0.648 | 0.673 | 0.698 | 0.723 | 0.748 |
B = | 0.251 | 0.276 | 0.301 | 0.326 | 0.351 | 0.376 | 0.401 | 0.426 | 0.451 | 0.476 | 0.501 | 0.526 | 0.551 | 0.576 | 0.601 | 0.627 | 0.652 | 0.677 | 0.702 | 0.727 | 0.752 |
E = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.226 | 0.238 | 0.251 | 0.263 | 0.276 | 0.288 | 0.301 | 0.313 | 0.326 | 0.338 | 0.351 | 0.363 | 0.376 |
“Y” = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.226 | 0.238 | 0.251 | 0.263 | 0.276 | 0.288 | 0.301 | 0.313 | 0.326 | 0.338 | 0.351 | 0.363 | 0.376 |
“X” = | 1.792 | 1.971 | 2.150 | 2.330 | 2.509 | 2.688 | 2.867 | 3.046 | 3.226 | 3.405 | 3.584 | 3.763 | 3.942 | 4.121 | 4.301 | 4.480 | 4.659 | 4.838 | 5.017 | 5.197 | 5.376 |
Roll Radius | 1.796 | 1.976 | 2.156 | 2.335 | 2.515 | 2.694 | 2.874 | 3.054 | 3.233 | 3.413 | 3.593 | 3.772 | 3.952 | 4.132 | 4.311 | 4.491 | 4.670 | 4.850 | 5.030 | 5.209 | 5.389 |
Loft Angle | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 |
Face Height | 0.5 | 0.55 | 0.6 | 0.65 | 0.7 | 0.75 | 0.8 | 0.85 | 0.9 | 0.95 | 1 | 1.05 | 1.1 | 1.15 | 1.2 | 1.25 | 1.3 | 1.35 | 1.4 | 1.45 | 1.5 |
Calculations | |||||||||||||||||||||
A = | 0.020 | 0.022 | 0.024 | 0.025 | 0.027 | 0.029 | 0.031 | 0.033 | 0.035 | 0.037 | 0.039 | 0.041 | 0.043 | 0.045 | 0.047 | 0.049 | 0.051 | 0.053 | 0.055 | 0.057 | 0.059 |
C = | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.002 | 0.003 | 0.003 | 0.003 | 0.003 | 0.003 | 0.003 | 0.004 | 0.004 | 0.004 | 0.004 | 0.004 | 0.004 | 0.004 | 0.005 |
h = | 0.020 | 0.022 | 0.024 | 0.025 | 0.027 | 0.029 | 0.031 | 0.033 | 0.035 | 0.037 | 0.039 | 0.041 | 0.043 | 0.045 | 0.047 | 0.049 | 0.051 | 0.053 | 0.055 | 0.057 | 0.059 |
Diameter = | 3.196 | 3.516 | 3.835 | 4.155 | 4.475 | 4.794 | 5.114 | 5.434 | 5.753 | 6.073 | 6.392 | 6.712 | 7.032 | 7.351 | 7.671 | 7.991 | 8.310 | 8.630 | 8.949 | 9.269 | 9.589 |
D = | 0.249 | 0.274 | 0.299 | 0.324 | 0.349 | 0.374 | 0.399 | 0.424 | 0.449 | 0.474 | 0.499 | 0.524 | 0.549 | 0.574 | 0.599 | 0.623 | 0.648 | 0.673 | 0.698 | 0.723 | 0.748 |
B = | 0.251 | 0.276 | 0.301 | 0.326 | 0.351 | 0.376 | 0.401 | 0.426 | 0.451 | 0.476 | 0.501 | 0.526 | 0.551 | 0.576 | 0.601 | 0.627 | 0.652 | 0.677 | 0.702 | 0.727 | 0.752 |
E = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.226 | 0.238 | 0.251 | 0.263 | 0.276 | 0.288 | 0.301 | 0.313 | 0.326 | 0.339 | 0.351 | 0.363 | 0.376 |
“Y” = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.226 | 0.238 | 0.251 | 0.263 | 0.276 | 0.288 | 0.301 | 0.313 | 0.326 | 0.339 | 0.351 | 0.363 | 0.376 |
“X” = | 1.593 | 1.753 | 1.912 | 2.071 | 2.230 | 2.390 | 2.549 | 2.708 | 2.868 | 3.027 | 3.186 | 3.346 | 3.505 | 3.664 | 3.824 | 3.983 | 4.142 | 4.302 | 4.461 | 4.620 | 4.780 |
Roll Radius | 1.598 | 1.758 | 1.918 | 2.078 | 2.237 | 2.397 | 2.557 | 2.717 | 2.887 | 3.036 | 3.196 | 3.356 | 3.516 | 3.676 | 3.835 | 3.995 | 4.155 | 4.315 | 4.475 | 4.635 | 4.794 |
Loft Angle | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
Face Height | 0.5 | 0.55 | 0.6 | 0.65 | 0.7 | 0.75 | 0.8 | 0.85 | 0.9 | 0.95 | 1 | 1.05 | 1.1 | 1.15 | 1.2 | 1.25 | 1.3 | 1.35 | 1.4 | 1.45 | 1.5 |
Calculations | |||||||||||||||||||||
A = | 0.022 | 0.024 | 0.026 | 0.028 | 0.031 | 0.033 | 0.035 | 0.037 | 0.039 | 0.041 | 0.044 | 0.046 | 0.048 | 0.050 | 0.052 | 0.054 | 0.057 | 0.059 | 0.061 | 0.063 | 0.065 |
C = | 0.002 | 0.002 | 0.002 | 0.002 | 0.003 | 0.003 | 0.003 | 0.003 | 0.003 | 0.004 | 0.004 | 0.004 | 0.004 | 0.004 | 0.005 | 0.005 | 0.005 | 0.005 | 0.005 | 0.006 | 0.006 |
h = | 0.022 | 0.024 | 0.026 | 0.028 | 0.031 | 0.033 | 0.035 | 0.037 | 0.039 | 0.041 | 0.044 | 0.046 | 0.048 | 0.050 | 0.052 | 0.054 | 0.057 | 0.059 | 0.061 | 0.063 | 0.065 |
Diameter = | 2.879 | 3.167 | 3.455 | 3.743 | 4.031 | 4.319 | 4.607 | 4.895 | 5.183 | 5.471 | 5.759 | 6.047 | 6.335 | 6.623 | 6.911 | 7.198 | 7.486 | 7.774 | 8.062 | 8.350 | 8.638 |
D = | 0.249 | 0.274 | 0.299 | 0.324 | 0.349 | 0.374 | 0.399 | 0.424 | 0.449 | 0.474 | 0.499 | 0.524 | 0.549 | 0.574 | 0.599 | 0.623 | 0.648 | 0.673 | 0.698 | 0.723 | 0.748 |
B = | 0.251 | 0.276 | 0.301 | 0.326 | 0.351 | 0.376 | 0.401 | 0.426 | 0.451 | 0.476 | 0.501 | 0.526 | 0.551 | 0.576 | 0.601 | 0.627 | 0.652 | 0.677 | 0.702 | 0.727 | 0.752 |
E = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.226 | 0.238 | 0.251 | 0.263 | 0.276 | 0.288 | 0.301 | 0.313 | 0.326 | 0.339 | 0.351 | 0.363 | 0.376 |
“Y” = | 0.125 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.226 | 0.238 | 0.251 | 0.263 | 0.276 | 0.288 | 0.301 | 0.313 | 0.326 | 0.339 | 0.351 | 0.363 | 0.376 |
“X” = | 1.434 | 1.578 | 1.721 | 1.864 | 2.008 | 2.151 | 2.295 | 2.438 | 2.582 | 2.725 | 2.868 | 3.012 | 3.155 | 3.299 | 3.442 | 3.586 | 3.729 | 3.872 | 4.016 | 4.159 | 4.303 |
Roll Radius | 1.440 | 1.584 | 1.728 | 1.872 | 2.016 | 2.160 | 2.304 | 2.447 | 2.591 | 2.735 | 2.879 | 3.023 | 3.167 | 3.311 | 3.455 | 3.599 | 3.743 | 3.887 | 4.031 | 4.175 | 4.319 |
Loft Angle | 5.5 | 5.5 | 5.5 | 5.5 | 5.5 | 5.5 | 5.5 | 5.5 | 5.5 | 5.5 | 5.5 | 5.5 | 5.5 | 5.5 | 5.5 | 5.5 | 5.5 | 5.5 | 5.5 | 5.5 | 5.5 |
Face Height | 0.5 | 0.55 | 0.6 | 0.65 | 0.7 | 0.75 | 0.8 | 0.85 | 0.9 | 0.95 | 1 | 1.05 | 1.1 | 1.15 | 1.2 | 1.25 | 1.3 | 1.35 | 1.4 | 1.45 | 1.5 |
Calculations | |||||||||||||||||||||
A = | 0.024 | 0.026 | 0.029 | 0.031 | 0.034 | 0.036 | 0.038 | 0.041 | 0.043 | 0.046 | 0.048 | 0.050 | 0.053 | 0.055 | 0.058 | 0.060 | 0.062 | 0.065 | 0.067 | 0.069 | 0.072 |
C = | 0.002 | 0.003 | 0.003 | 0.003 | 0.003 | 0.003 | 0.004 | 0.004 | 0.004 | 0.004 | 0.005 | 0.005 | 0.005 | 0.005 | 0.006 | 0.006 | 0.006 | 0.006 | 0.006 | 0.007 | 0.007 |
h = | 0.024 | 0.026 | 0.029 | 0.031 | 0.034 | 0.036 | 0.038 | 0.041 | 0.043 | 0.046 | 0.048 | 0.050 | 0.053 | 0.055 | 0.058 | 0.060 | 0.062 | 0.065 | 0.067 | 0.069 | 0.072 |
Diameter = | 2.620 | 2.882 | 3.145 | 3.407 | 3.669 | 3.931 | 4.193 | 4.455 | 4.717 | 4,979 | 5.241 | 5.503 | 5.765 | 6.027 | 6.289 | 6.551 | 6.813 | 7.075 | 7.337 | 7.599 | 7.861 |
D = | 0.249 | 0.274 | 0.299 | 0.324 | 0.349 | 0.374 | 0.399 | 0.424 | 0.449 | 0.474 | 0.499 | 0.524 | 0.549 | 0.574 | 0.599 | 0.623 | 0.648 | 0.673 | 0.698 | 0.723 | 0.748 |
B = | 0.251 | 0.276 | 0.301 | 0.326 | 0.351 | 0.376 | 0.401 | 0.426 | 0.451 | 0.476 | 0.501 | 0.526 | 0.551 | 0.576 | 0.601 | 0.627 | 0.652 | 0.677 | 0.702 | 0.727 | 0.752 |
E = | 0.126 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.226 | 0.238 | 0.251 | 0.263 | 0.276 | 0.288 | 0.301 | 0.313 | 0.327 | 0.339 | 0.352 | 0.363 | 0.377 |
“Y” = | 0.126 | 0.138 | 0.150 | 0.163 | 0.175 | 0.188 | 0.200 | 0.213 | 0.226 | 0.238 | 0.251 | 0.263 | 0.276 | 0.288 | 0.301 | 0.313 | 0.327 | 0.339 | 0.352 | 0.363 | 0.377 |
“X” = | 1.304 | 1.435 | 1.565 | 1.695 | 1.826 | 1.956 | 2.087 | 2.217 | 2.348 | 2.478 | 2.608 | 2.739 | 2.869 | 3.000 | 3.130 | 3.260 | 3.391 | 3.521 | 3.652 | 3.782 | 3.913 |
Roll Radius | 1.310 | 1,441 | 1.572 | 1.703 | 1.834 | 1.965 | 2.096 | 2.227 | 2.358 | 2.489 | 2.620 | 2.751 | 2.882 | 3.013 | 3.145 | 3.276 | 3.407 | 3.538 | 3.669 | 3.800 | 3.931 |
Loft Angle | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
Face Height | 0.5 | 0.55 | 0.6 | 0.65 | 0.7 | 0.75 | 0.8 | 0.85 | 0.9 | 0.95 | 1 | 1.05 | 1.1 | 1.15 | 1.2 | 1.25 | 1.3 | 1.35 | 1.4 | 1.45 | 1.5 |
Calculations | |||||||||||||||||||||
A = | 0.026 | 0.029 | 0.031 | 0.034 | 0.037 | 0.039 | 0.042 | 0.044 | 0.047 | 0.050 | 0.052 | 0.055 | 0.057 | 0.060 | 0.063 | 0.065 | 0.068 | 0.071 | 0.073 | 0.076 | 0.078 |
C = | 0.003 | 0.003 | 0.003 | 0.004 | 0.004 | 0.004 | 0.004 | 0.005 | 0.005 | 0.005 | 0.005 | 0.006 | 0.006 | 0.006 | 0.007 | 0.007 | 0.007 | 0.007 | 0.008 | 0.008 | 0.008 |
h = | 0.026 | 0.029 | 0.032 | 0.034 | 0.037 | 0.039 | 0.042 | 0.045 | 0.047 | 0.050 | 0.053 | 0.055 | 0.058 | 0.060 | 0.063 | 0.066 | 0.068 | 0.071 | 0.074 | 0.076 | 0.079 |
Diameter = | 2.405 | 2.645 | 2.886 | 3.126 | 3.367 | 3.607 | 3.848 | 4.088 | 4.329 | 4.569 | 4.810 | 5.050 | 5.291 | 5.531 | 5.772 | 6.012 | 6.253 | 6.493 | 6.734 | 6.974 | 7.215 |
D = | 0.249 | 0.273 | 0.298 | 0.323 | 0.348 | 0.373 | 0.398 | 0.423 | 0.448 | 0.472 | 0.497 | 0.522 | 0.547 | 0.572 | 0.597 | 0.622 | 0.646 | 0.671 | 0.696 | 0.721 | 0.746 |
B = | 0.251 | 0.277 | 0.302 | 0.327 | 0.352 | 0.377 | 0.402 | 0.427 | 0.452 | 0.478 | 0.503 | 0.528 | 0.553 | 0.578 | 0.603 | 0.628 | 0.654 | 0.679 | 0.704 | 0.729 | 0.754 |
E = | 0.126 | 0.138 | 0.151 | 0.163 | 0.176 | 0.189 | 0.201 | 0.214 | 0.226 | 0.239 | 0.251 | 0.264 | 0.277 | 0.289 | 0.302 | 0.314 | 0.327 | 0.339 | 0.352 | 0.364 | 0.377 |
“Y” = | 0.126 | 0.138 | 0.151 | 0.163 | 0.176 | 0.189 | 0.201 | 0.214 | 0.226 | 0.239 | 0.251 | 0.264 | 0.277 | 0.289 | 0.302 | 0.314 | 0.327 | 0.339 | 0.352 | 0.364 | 0.377 |
“X” = | 1.196 | 1.315 | 1.435 | 1.555 | 1.674 | 1.794 | 1.913 | 2.033 | 2.153 | 2.272 | 2.392 | 2.511 | 2.631 | 2.750 | 2.870 | 2.990 | 3.109 | 3.229 | 3.348 | 3.468 | 3.588 |
Roll Radius | 1.202 | 1.323 | 1.443 | 1.563 | 1.683 | 1.804 | 1.924 | 2.044 | 2.164 | 2.285 | 2.405 | 2.525 | 2.645 | 2.766 | 2.886 | 3.006 | 3.126 | 3.247 | 3.367 | 3.487 | 3.607 |
Loft Angle | 6.5 | 6.5 | 6.5 | 6.5 | 6.5 | 6.5 | 6.5 | 6.5 | 6.5 | 6.5 | 6.5 | 6.5 | 6.5 | 6.5 | 6.5 | 6.5 | 6.5 | 6.5 | 6.5 | 6.5 | 6.5 |
Face Height | 0.5 | 0.55 | 0.6 | 0.65 | 0.7 | 0.75 | 0.8 | 0.85 | 0.9 | 0.95 | 1 | 1.05 | 1.1 | 1.15 | 1.2 | 1.25 | 1.3 | 1.35 | 1.4 | 1.45 | 1.5 |
Calculations | |||||||||||||||||||||
A = | 0.028 | 0.031 | 0.034 | 0.037 | 0.040 | 0.042 | 0.045 | 0.048 | 0.051 | 0.054 | 0.057 | 0.059 | 0.062 | 0.065 | 0.068 | 0.071 | 0.074 | 0.076 | 0.079 | 0.082 | 0.085 |
C = | 0.003 | 0.004 | 0.004 | 0.004 | 0.005 | 0.005 | 0.005 | 0.005 | 0.006 | 0.006 | 0.006 | 0.007 | 0.007 | 0.007 | 0.008 | 0.008 | 0.008 | 0.009 | 0.009 | 0.009 | 0.010 |
h = | 0.028 | 0.031 | 0.034 | 0.037 | 0.040 | 0.043 | 0.046 | 0.048 | 0.051 | 0.054 | 0.057 | 0.060 | 0.063 | 0.066 | 0.068 | 0.071 | 0.074 | 0.077 | 0.080 | 0.083 | 0.085 |
Diameter = | 2.223 | 2.445 | 2.667 | 2.890 | 3.112 | 3.334 | 3.556 | 3.779 | 4.001 | 4.223 | 4.445 | 4.668 | 4.890 | 5.112 | 5.334 | 5.557 | 5.779 | 6.001 | 6.224 | 6.446 | 6.668 |
D = | 0.248 | 0.273 | 0.298 | 0.323 | 0.348 | 0.373 | 0.397 | 0.422 | 0.447 | 0.472 | 0.497 | 0.522 | 0.546 | 0.571 | 0.596 | 0.621 | 0.646 | 0.671 | 0.696 | 0.720 | 0.745 |
B = | 0.252 | 0.277 | 0.302 | 0.327 | 0.352 | 0.377 | 0.403 | 0.428 | 0.453 | 0.478 | 0.503 | 0.528 | 0.554 | 0.579 | 0.604 | 0.629 | 0.654 | 0.679 | 0.705 | 0.730 | 0.755 |
E = | 0.126 | 0.138 | 0.151 | 0.164 | 0.176 | 0.189 | 0.201 | 0.214 | 0.226 | 0.239 | 0.252 | 0.264 | 0.277 | 0.289 | 0.302 | 0.315 | 0.327 | 0.340 | 0.352 | 0.365 | 0.377 |
“Y” = | 0.126 | 0.138 | 0.151 | 0.164 | 0.176 | 0.189 | 0.201 | 0.214 | 0.226 | 0.239 | 0.252 | 0.264 | 0.277 | 0.289 | 0.302 | 0.315 | 0.327 | 0.340 | 0.352 | 0.365 | 0.377 |
“X” = | 1.104 | 1.215 | 1.325 | 1.435 | 1.546 | 1.656 | 1.767 | 1.877 | 1.988 | 2.098 | 2.208 | 2.319 | 2.249 | 2.540 | 2.650 | 2.761 | 2.871 | 2.981 | 3.092 | 3.202 | 3.313 |
Roll Radius | 1.111 | 1.222 | 1.334 | 1.445 | 1.556 | 1.667 | 1.778 | 1.889 | 2.000 | 2.112 | 2.223 | 2.334 | 2.445 | 2.556 | 2.667 | 2.778 | 2.890 | 3.001 | 3.112 | 3.223 | 3.334 |
Loft Angle | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
Face Height | 0.5 | 0.55 | 0.6 | 0.65 | 0.07 | 0.75 | 0.08 | 0.85 | 0.9 | 0.95 | 1 | 1.05 | 1.1 | 1.15 | 1.2 | 1.25 | 1.3 | 1.35 | 1.4 | 1.45 | 1.5 |
Calculations | |||||||||||||||||||||
A = | 0.030 | 0.034 | 0.037 | 0.040 | 0.043 | 0.046 | 0.049 | 0.052 | 0.055 | 0.058 | 0.061 | 0.064 | 0.067 | 0.070 | 0.073 | 0.076 | 0.079 | 0.082 | 0.085 | 0.088 | 0.091 |
C = | 0.004 | 0.004 | 0.004 | 0.005 | 0,005 | 0.006 | 0.006 | 0.006 | 0.007 | 0.007 | 0.007 | 0.008 | 0.008 | 0.009 | 0.009 | 0.009 | 0.010 | 0.010 | 0.010 | 0.011 | 0.011 |
h = | 0.031 | 0.034 | 0.037 | 0.040 | 0.043 | 0.046 | 0.049 | 0.052 | 0.055 | 0.058 | 0.061 | 0.064 | 0.068 | 0.071 | 0.074 | 0.077 | 0.080 | 0.083 | 0.086 | 0.089 | 0.092 |
Diameter = | 2.067 | 2.273 | 2.480 | 2.687 | 2.893 | 3.100 | 3.307 | 3.514 | 3.720 | 3.927 | 4.134 | 4.340 | 4.547 | 4.754 | 4.960 | 5.167 | 5.374 | 5.580 | 5.787 | 5.994 | 6.200 |
D = | 0.248 | 0.273 | 0.298 | 0.323 | 0.347 | 0.372 | 0.397 | 0.422 | 0.447 | 0.471 | 0.496 | 0.521 | 0.546 | 0.571 | 0.596 | 0.620 | 0.645 | 0.670 | 0.695 | 0.720 | 0.744 |
B = | 0.252 | 0.277 | 0.302 | 0.327 | 0.353 | 0.378 | 0.403 | 0.428 | 0.453 | 0.479 | 0.504 | 0.529 | 0.554 | 0.579 | 0.605 | 0.630 | 0.655 | 0.680 | 0.705 | 0.730 | 0.756 |
E = | 0.126 | 0.139 | 0.151 | 0.164 | 0.176 | 0.189 | 0.202 | 0.214 | 0.227 | 0.239 | 0.252 | 0.264 | 0.277 | 0.290 | 0.302 | 0.315 | 0.327 | 0.340 | 0.353 | 0.365 | 0.378 |
“Y” = | 0.126 | 0.139 | 0.151 | 0.164 | 0.176 | 0.189 | 0.202 | 0.214 | 0.227 | 0.239 | 0.252 | 0.264 | 0.277 | 0.290 | 0.302 | 0.315 | 0.327 | 0.340 | 0.353 | 0.365 | 0.378 |
“X” = | 1.026 | 1.128 | 1.231 | 1.333 | 1.436 | 1.539 | 1.641 | 1.744 | 1.846 | 1.949 | 2.051 | 2.154 | 2.257 | 2.359 | 2.462 | 2.564 | 2.667 | 2.769 | 2.872 | 2.974 | 3.077 |
Roll Radius | 1.033 | 1.137 | 1.240 | 1.343 | 1.447 | 1.550 | 1.653 | 1.757 | 1.860 | 1.963 | 2.067 | 2.170 | 2.273 | 2.377 | 2.480 | 2.583 | 2.867 | 2.790 | 2.893 | 2.997 | 3.100 |
Loft Angle | 7.5 | 7.5 | 7.5 | 7.5 | 7.5 | 7.5 | 7.5 | 7.5 | 7.5 | 7.5 | 7.5 | 7.5 | 7.5 | 7.5 | 7.5 | 7.5 | 7.5 | 7.5 | 7.5 | 7.5 | 7.5 |
Face Height | 0.5 | 0.55 | 0.6 | 0.65 | 0.7 | 0.75 | 0.8 | 0.85 | 0.9 | 0.95 | 1 | 1.05 | 1.1 | 1.15 | 1.2 | 1.25 | 1.3 | 1.35 | 1.4 | 1.45 | 1.5 |
Calculations | |||||||||||||||||||||
A = | 0.033 | 0.036 | 0.039 | 0.042 | 0.046 | 0.049 | 0.052 | 0.055 | 0.059 | 0.062 | 0.065 | 0.069 | 0.072 | 0.075 | 0.078 | 0.082 | 0.085 | 0.088 | 0.091 | 0.095 | 0.098 |
C = | 0.004 | 0.005 | 0.005 | 0.006 | 0.006 | 0.006 | 0.007 | 0.007 | 0.008 | 0.008 | 0.009 | 0.009 | 0.009 | 0.010 | 0.010 | 0.011 | 0.011 | 0.012 | 0.012 | 0.012 | 0.013 |
h = | 0.033 | 0.036 | 0.039 | 0.043 | 0.046 | 0.049 | 0.053 | 0.056 | 0.059 | 0.063 | 0.066 | 0.069 | 0.072 | 0.076 | 0.079 | 0.082 | 0.086 | 0.089 | 0.092 | 0.095 | 0.099 |
Diameter = | 1.932 | 2.125 | 2.318 | 2.511 | 2.705 | 2.898 | 3.091 | 3.284 | 3.477 | 3.671 | 3.864 | 4.057 | 4.250 | 4.443 | 4.636 | 4.830 | 5.023 | 5.216 | 5.409 | 5.602 | 5.796 |
D = | 0.248 | 0.273 | 0.297 | 0.322 | 0.347 | 0.372 | 0.397 | 0.421 | 0.446 | 0.471 | 0.496 | 0.521 | 0.545 | 0.570 | 0.595 | 0.620 | 0.644 | 0.669 | 0.694 | 0.719 | 0.744 |
B = | 0.252 | 0.277 | 0.303 | 0.328 | 0.353 | 0.378 | 0.403 | 0.429 | 0.454 | 0.479 | 0.504 | 0.530 | 0.555 | 0.580 | 0.605 | 0.630 | 0.656 | 0.681 | 0.706 | 0.731 | 0.756 |
E = | 0.126 | 0.139 | 0.151 | 0.164 | 0.177 | 0.189 | 0.202 | 0.214 | 0.227 | 0.240 | 0.252 | 0.265 | 0.277 | 0.290 | 0.303 | 0.315 | 0.328 | 0.340 | 0.353 | 0.366 | 0.378 |
“Y” = | 0.126 | 0.139 | 0.151 | 0.164 | 0.177 | 0.189 | 0.202 | 0.214 | 0.227 | 0.240 | 0.252 | 0.265 | 0.277 | 0.290 | 0.303 | 0.315 | 0.328 | 0.340 | 0.353 | 0.366 | 0.378 |
“X” = | 0.958 | 1.053 | 1.149 | 1.245 | 1.341 | 1.436 | 1.632 | 1.628 | 1.724 | 1.820 | 1.915 | 2.011 | 2.107 | 2.203 | 2.298 | 2.394 | 2.490 | 2.586 | 2.681 | 2.777 | 2.873 |
Roll Radius | 0.966 | 1.063 | 1.159 | 1.256 | 1.352 | 1.449 | 1.545 | 1.642 | 1.739 | 1.835 | 1.932 | 2.028 | 2.125 | 2.222 | 2.318 | 2.415 | 2.511 | 2.608 | 2.705 | 2.801 | 2.898 |
Loft Angle | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
Face Height | 0.5 | 0.55 | 0.6 | 0.65 | 0.7 | 0.75 | 0.8 | 0.85 | 0.9 | 0.95 | 1 | 1.05 | 1.1 | 1.15 | 1.2 | 1.25 | 1.3 | 1.35 | 1.4 | 1.45 | 1.5 |
Calculations | |||||||||||||||||||||
A = | 0.035 | 0.038 | 0.042 | 0.045 | 0.049 | 0.052 | 0.056 | 0.059 | 0.063 | 0.066 | 0.070 | 0.073 | 0.077 | 0.080 | 0.084 | 0.087 | 0.090 | 0.094 | 0.097 | 0.101 | 0.104 |
C = | 0.005 | 0.005 | 0.006 | 0.006 | 0.007 | 0.007 | 0.008 | 0.008 | 0.009 | 0.009 | 0.010 | 0.010 | 0.011 | 0.011 | 0.012 | 0.012 | 0.013 | 0.013 | 0.014 | 0.014 | 0.015 |
h = | 0.035 | 0.039 | 0.042 | 0.046 | 0.049 | 0.053 | 0.056 | 0.060 | 0.063 | 0.067 | 0.070 | 0.074 | 0.077 | 0.081 | 0.084 | 0.088 | 0.091 | 0.095 | 0.098 | 0.102 | 0.105 |
Diameter = | 1.814 | 1.995 | 2.177 | 2.358 | 2.540 | 2.721 | 2.902 | 3.084 | 3.265 | 3.447 | 3.628 | 3.809 | 3.991 | 4.172 | 4.354 | 4.535 | 4.716 | 4.898 | 5.079 | 5.261 | 5.442 |
D = | 0.248 | 0.272 | 0.297 | 0.322 | 0.347 | 0.371 | 0.396 | 0.421 | 0.446 | 0.470 | 0.495 | 0.520 | 0.545 | 0.569 | 0.594 | 0.619 | 0.644 | 0.668 | 0.693 | 0.718 | 0.743 |
B = | 0.252 | 0.278 | 0.303 | 0.328 | 0.353 | 0.379 | 0.404 | 0.429 | 0.454 | 0.480 | 0.505 | 0.530 | 0.555 | 0.581 | 0.606 | 0.631 | 0.656 | 0.682 | 0.707 | 0.732 | 0.757 |
E = | 0.126 | 0.139 | 0.151 | 0.164 | 0.177 | 0.189 | 0.202 | 0.215 | 0.227 | 0.240 | 0.252 | 0.265 | 0.278 | 0.290 | 0.303 | 0.316 | 0.328 | 0.341 | 0.353 | 0.366 | 0.379 |
“Y” = | 0.126 | 0.139 | 0.151 | 0.164 | 0.177 | 0.189 | 0.202 | 0.215 | 0.227 | 0.240 | 0.252 | 0.265 | 0.278 | 0.290 | 0.303 | 0.316 | 0.328 | 0.341 | 0.353 | 0.366 | 0.379 |
“X” = | 0.898 | 0.988 | 1.078 | 1.168 | 1.257 | 1.347 | 1.437 | 1.527 | 1.617 | 1.707 | 1.796 | 1.886 | 1.976 | 2.066 | 2.156 | 2.245 | 2.335 | 2.425 | 2.515 | 2.605 | 2.694 |
Roll Radius | 0.907 | 0.998 | 1.088 | 1.179 | 1.270 | 1.360 | 1.451 | 1.542 | 1.633 | 1.723 | 1.814 | 1.905 | 1.995 | 2.086 | 2.177 | 2.267 | 2.358 | 2.449 | 2.540 | 2.630 | 2.721 |
Loft Angle | 8.5 | 8.5 | 8.5 | 8.5 | 8.5 | 8.5 | 8.5 | 8.5 | 8.5 | 8.5 | 8.5 | 8.5 | 8.5 | 8.5 | 8.5 | 8.5 | 8.5 | 8.5 | 8.5 | 8.5 | 8.5 |
Face Height | 0.5 | 0.55 | 0.6 | 0.65 | 0.7 | 0.75 | 0.8 | 0.85 | 0.9 | 0.95 | 1 | 1.05 | 1.1 | 1.15 | 1.2 | 1.25 | 1.3 | 1.35 | 1.4 | 1.45 | 1.5 |
Calcalations | |||||||||||||||||||||
A = | 0.037 | 0.041 | 0.044 | 0.048 | 0.052 | 0.055 | 0.059 | 0.063 | 0.067 | 0.070 | 0.074 | 0.078 | 0.081 | 0.085 | 0.089 | 0.092 | 0.096 | 0.100 | 0.103 | 0.107 | 0.111 |
C = | 0.006 | 0.006 | 0.007 | 0.007 | 0.008 | 0.008 | 0.009 | 0.009 | 0.010 | 0.010 | 0.011 | 0.012 | 0.012 | 0.013 | 0.013 | 0.014 | 0.014 | 0.015 | 0.015 | 0.016 | 0.017 |
h = | 0.037 | 0.041 | 0.045 | 0.049 | 0.052 | 0.056 | 0.060 | 0.064 | 0.067 | 0.071 | 0.075 | 0.078 | 0.082 | 0.086 | 0.090 | 0.093 | 0.097 | 0.101 | 0.105 | 0.108 | 0.112 |
Diameter = | 1.710 | 1.881 | 2.052 | 2.223 | 2.394 | 2.565 | 2.736 | 2.907 | 3.078 | 3.249 | 3.420 | 3.591 | 3.762 | 3.933 | 4.104 | 4.275 | 4.446 | 4.617 | 4.788 | 4.959 | 5.130 |
D = | 0.247 | 0.272 | 0.297 | 0.321 | 0.346 | 0.371 | 0.396 | 0.420 | 0.445 | 0.470 | 0.495 | 0.519 | 0.544 | 0.569 | 0.593 | 0.618 | 0.643 | 0.668 | 0.692 | 0.717 | 0.742 |
B = | 0.253 | 0.278 | 0.303 | 0.329 | 0.354 | 0.379 | 0.404 | 0.430 | 0.455 | 0.480 | 0.506 | 0.531 | 0.556 | 0.581 | 0.607 | 0.632 | 0.657 | 0.682 | 0.708 | 0.733 | 0.758 |
E= | 0.126 | 0.139 | 0.152 | 0.164 | 0.177 | 0.190 | 0.202 | 0.215 | 0.227 | 0.240 | 0.253 | 0.265 | 0.278 | 0.291 | 0.303 | 0.316 | 0.329 | 0.341 | 0.354 | 0.367 | 0.379 |
“Y” = | 0.126 | 0.139 | 0.152 | 0.164 | 0.177 | 0.190 | 0.202 | 0.215 | 0.227 | 0.240 | 0.253 | 0.265 | 0.278 | 0.291 | 0.303 | 0.316 | 0.329 | 0.341 | 0.354 | 0.367 | 0.379 |
“X” = | 0.846 | 0.930 | 1.015 | 1.099 | 1.184 | 1.269 | 1.353 | 1.438 | 1.522 | 1.607 | 1.691 | 1.776 | 1.861 | 1.945 | 2.030 | 2.114 | 2.199 | 2.283 | 2.368 | 2.452 | 2.537 |
Roll Radius | 0.855 | 0.941 | 1.026 | 1.112 | 1.197 | 1.283 | 1.368 | 1.454 | 1.539 | 1.625 | 1.710 | 1.796 | 1.881 | 1.967 | 2.052 | 2.138 | 2.223 | 2.309 | 2.394 | 2.480 | 2.565 |
[0001] This is a full and complete application based on Provisional Patent Application Serial No. 60/064,605, filed Nov. 7, 1997, and also a Continuation-in-Part Application therefrom.
[0002] This invention relates to golf club putters having curved strike faces, and more particularly to an improved curved strike face which accommodates variances in putting styles, while assuring consistent impact of the golf ball below the ball's equator.
[0003] Numerous attempts have been made to produce putters with vertically curved strike faces which are intended to assist in assuring that putted balls run true to the-target. Curved-faced putters can be full cylindrical-shaped putter heads, or formed with a face being only a portion of a cylinder. Some curved face putters have a curved striking face having a radius much larger than that of the golf ball. The typical golf ball's diameter is 1.68 inches, although more recently there are both larger balls at 1.72 inches in diameter, and smaller balls at 1.64 inches in diameter. However, such large-radiused curved face putters, by hitting above the balls equator, tend to initially drive the ball down into the putting surface, thus causing it to hop and skip for an extended initial portion of its motion.
[0004] At the other end of the spectrum, there are curved face putters having a face radius that is substantially smaller than that of the typical golf ball, e.g., see U.S. Pat. Nos. 4,872,684, 5,193,806, 5,433,441, and 5,501,461. However, with those small-radiused putters, the strike face's contact point with the golf ball often occurs substantially below the ball's equator. This again creates unnecessary extra “hopping” and initial skidding motion for the putted ball. Thus, the ball is again caused to go substantially off line, thereby resulting in missed putts, especially in mid-length longer putts of from, say, 5 feet and beyond.
[0005] Yet other curved face putters are formed with a face radius of such a diameter as to attempt hitting the golf ball at substantially the ball's equator, e.g., see U.S. Pat. Nos. 5,597,364 and 5,688,189. Also, the curved strike face of some curved-faced putters (i.e., of the partial cylinder face-type) has a built-in or static loft. A change in such loft can dramatically change the point of impact with the ball, relative to the ball's equator. Thus, with many of the curved faced putters, whatever the radius, problems result when no initial slight lift is given the ball, i.e., to cause it to rise up to, and then start rolling across, the tops of the grass blades of the putting surface.
[0006] Additionally, there is always the problem of exactly how the putter club head is delivered, i.e., presented, by the golfer's swing at impact to the golf ball. For example, it is known that a majority of golfers utilize a so-called pendulum stroke (i.e., putting style Class II), whereby the shoulders, upper arms, lower arms, wrists and hands are all locked in a given position. In that fashion, when the locked portions of one's upper torso are swung, there results a pendulum type swing motion. With that motion, the putter shaft is delivered at impact at 90° bottom dead center to the golf ball (thereby delivering the measured static loft designed in the putter's strike face).
[0007] Further, there is another putting style, namely the so-called “broken wrist” putter stroke style (Class I), such as used by professional golfer Bobby Locke. With that particular putting stroke, the golfer causes the wrists to break just prior to impact. In effect, this acts to tilt the club head ahead of the wrists, i.e., it is moved to the left ahead of the hands at impact for a righthanded golfer. The result is that, at impact, the leading edge of the club head is actually higher off the putting surface and coming up towards the golf ball. This putting style dynamically increases the designed static loft to the putter's strike face at impact.
[0008] Further yet, there is the third or so-called “forward press” or “piston type” putting stroke style (Class III), such as used by the well known professional golfer Tiger Woods. In that putting style, the golfer's wrist and hands are so aligned as to be located, rather than over the ball at address, somewhat forward of the ball. For a righthanded golfer, the hands have moved to the left ahead of the ball at impact. With a typical flat faced putter that has designed static loft on the strike face (say, 3°), such a forward press putting style has the effect of both delofting the putter strike face at the point of impact, i.e., dynamically reducing the static loft, and also of lowering the putter head towards the putting surface, wherein the club's leading edge is closer to the ground at impact.
[0009] Since the above varied putting stroke styles can vary so widely, it is found that, for example, with a typical flat-faced putter having a 3° of static loft, the actual dynamic loft (i.e., at impact) of the strike face can vary anywhere from −7° to +13°, i.e., the shaft impact angle can vary by ±10°. Curved face putters, however, have not previously been made to accommodate all those well known different putting styles.
[0010] Further, some prior curved face (and other type) putters have recognized the desirability of hitting the golf ball at a point below the ball's equator. This is done so as to give loft to the ball and to purportedly give it overspin or top spin. However, none of these prior putters have recognized a) that there is, in fact, a critical range for the distance below the equator to hit the golf ball, so as to minimize the initial skidding of the putted golf ball, and to therefore permit the ball's inherent angular rotation to control ball-tracking accuracy at the earliest point, and b) that roll radius determinations as a function of face height and loft can be made to assure impacting the ball within that critical range.
[0011] Further yet, there continues to be a problem with selecting the putter's appropriate roll radius, depending on the given grass conditions (i.e., speed and height) of the putting surface. That is, there is a need to accommodate the very short putting grass used in a professional golf tournament, a somewhat longer grass height used at most private country clubs and better public courses, and finally, relatively longer grass used for the putting surfaces at most public golf courses. Thus, there has been no prior correlation for selecting a curved face putter of proper roll radius as depending on a given course's Stimpmeter reading for playing on a given day.
[0012] The present invention overcomes the above-described problems of the prior art by providing a curved face putter that, regardless of a given golfer's putting stroke style, will consistently permit impacting the golf ball within a specific true roll impact zone below the ball's equator. That is, it is found that the best impact zone is slightly below, i.e., from only 0.015 inch to 0.073 inch below, the ball's equator, such that if the ball is hit there, initial skidding is minimized and the earliest true roll is created for the putted ball. Thus, as a function of club strike face height, and depending on the specific loft needed (whether for a professional, low amateur or high amateur golfer, or alternatively, to accommodate the day's given Stimpmeter reading) the curved strike face is formed with a resulting specific radius, thereby giving a curved strike face that will permit consistently hitting the golf ball just slightly below its equator and within the preferred true roll impact zone.
[0013] Claims abound for many prior curved face putters that their curved strike faces, upon contact with a golf ball, would immediately cause it to have overspin and start rolling true, i.e., without any unwanted initial skidding (which can then translate into severe misalignment throughout the putted ball's roll). However, actual testing has shown that there will always be an initial hopping and skidding portion to a putted ball's roll.
[0014] Thus, the goal of the present invention is to minimize that initial skidding to be no more than 10-12% of the overall putt, thereby substantially increasing the accuracy of straight line tracking of the golf ball through use of the present curved face putters. This is accomplished in the more advanced form of the invention, by varying the curved face's roll radius, depending on the putter face height, to permit impacting the ball in its true roll impact zone, regardless of putting stroke style being used.
[0015] In a more basic version of the invention, a series of similarly lofted putters, each having a different curved strike face radius, is provided. There, the golfer can choose the one curved face radius deemed most appropriate, i.e., with the best feel, for the golfer's specific putting stroke style or given green conditions.
[0016] Additionally, a system for fitting a golfer, having a specific putter stroke style or for specific green conditions, is provided. There, instead of being concerned with a particular lie angle as per the prior art, the golfer is fitted for his or her particular dynamic shaft impact angle, i.e., that shaft angle relative to the ball during impact, that results from the golfer's particular putting style.
[0017] Finally, there is provided a curved face putter that can be dynamically fitted to a given golfer, by providing a different loft depending on the height and type of the putting surface present, i.e., either for the actual mowed grass height and green speed or for the day's Stimpmeter reading, for a given course.
[0018] The means by which the foregoing and other features and aspects of the present invention are accomplished and the manner of their accomplishment will be readily understood from the following specification upon reference to the accompanying drawings, in which:
[0019]
[0020]
[0021]
[0022]
[0023]
[0024]
[0025]
[0026]
[0027]
[0028]
[0029]
[0030]
[0031]
[0032]
[0033]
[0034]
[0035]
[0036]
[0037]
[0038]
[0039]
[0040] FIGS.
[0041]
[0042]
[0043]
[0044]
[0045]
[0046] Having reference to the drawings, wherein like reference numerals indicate corresponding elements, there is shown in FIGS.
[0047] A. Basic Form of the Invention
[0048] The present invention, in its more basic form, and in a first instance, relates to a putter head that has the shapes and features generally as shown in the drawings attached hereto. This form of the invention is first depicted in three basic embodiments as represented by
[0049] The invention, in a second instance, again relative to its more basic form, involves a multiple-putter putting system that is comprised of a plurality of individual putters, each individual putter having a curved striking face defined by a radius different from that of each other putter of the plurality. Preferably, the component putters of the putter system of the present invention are those of the present invention mentioned in the “first instance” above. However, each of the putters of the plurality is not simply an alternate embodiment of the invented putter but rather, is one component putter of a putting system wherein each component putter is selectively constructed with unique striking face radius in order to provide a different striking characteristic, i.e., feel to the golfer for a given putting surface.
[0050] With reference to the drawings (especially FIGS.
[0051] As previously mentioned, FIGS.
[0052] Thus, the plurality of putters in the system of putters of the more basic form of this invention are represented by the three end view drawings (
[0053] Thus, it is seen that a curved face putter of a given face height can be formed with a given loft to the curved face, and that different roll radii for the curved face can be used, whereby any one of several, or a system of lofted, curved strike face putters can be made for, selected and used by a given golfer.
[0054] B. Advanced Form of the Invention
[0055] Keeping in mind the above-described ability and resulting benefits to form a curved face putter having the combination of a given loft and roll radii, there is a further need to determine the best roll radii and loft, for a given putter design, i.e., for a putter with a given face height, so that the earliest true roll of the putted ball will consistently occur. More specifically, there has been a need to determine what roll radius, and what loft angle, is best for a given curved face putter having a known strike face height, all to minimize the initial skidding and hopping of a putted ball, to thereby achieve the earliest true roll for the ball, and to do so regardless what putting stroke style a given golfer may use.
[0056] A series of tests were undertaken using as a standard a flat face putter having a 3° positive loft, to determine the earliest point at which so-called “true roll” began for a putted golf ball. Timed high speed photographs were utilized to establish the balls motion, i.e., displacement position and angular rotation. It was determined that, contrary to statements made in various prior art patents, and both from the laws of physics, and from the actual timed photographs taken in connection with the present invention, an immediate true roll of a putted ball is not possible. That is, there will always be some initial portion of the ball's motion where slipping, sliding, and hopping will occur. However, there then comes a point when the balls center and the ball's surface move together at the same rate, to establish a true roll for the ball.
[0057] In
[0058] By way of explanation, in the timed test photographs, the ball's distance between centers were photographed at {fraction (1/30)}th of a second. The photographs were taken from the side of the golf ball
[0059] The calculations utilized to determine the putted ball's velocity at center Vc, as well as velocity at surface Vs, are shown in
[0060] For such timed photograph putting tests, a multiple series of 10 ft. putts were made with the mechanical putting device (not shown). (A length of 10 feet was selected for such putter testing, since the great majority of putts in a round of golf are ten feet or less, such that the accuracy of such putts contribute the greatest to ones overall golf score.)
[0061]
[0062] The surface velocity Vs is seen to increase, then slow down, then increase, then slow down, and finally increase; those changes in Vs represent the times when the putted golf ball has hopped off and then recontacted the putting surface. Similarly, the Y direction displacement figures in
[0063]
[0064]
[0065]
[0066] The calculated best-line-fit data of
[0067]
[0068] Ideally, if every golfer could consistently deliver a 3° lofted flat face putter at generally 90° to the ground, that would insure that the golf ball
[0069] Again,
[0070] Thus, optimal true roll occurs when a ball is struck at a point within a true roll impact zone ranging from 0.015 inch to 0.073 inch below the ball's equator. That impact zone is where the putter's strike face should consistently impact the golf ball
[0071] It will be understood, however, that it is very difficult for a golfer to consistently deliver a lofted flat-faced putter at a given dynamic shaft impact angle relative to the ground. (“Shaft impact angle” is intended to describe that angle between the putter's shaft centerline, and a plane through the ball and normal to the ground or putting surface, measured at impact of the club strike face with the golf ball.)
[0072] On the other hand, by using the present inventions improved curved face putter, its strike faces roll radius can be so specially chosen as to consistently allow the curved strike face, regardless of the putting stroke style used, to hit the ball within the above-described preferred true roll impact zone.
[0073] The dynamic impact effect of the three basic putting stroke styles, as used by both professional and amateur golfers alike, is shown in FIGS.
[0074]
[0075] Finally,
[0076] Thus, as seen per FIGS.
[0077] Thus, there is shown in
[0078] Second,
[0079] Third,
[0080] As seen, not only does the present invention's improved curved face putter accommodate all three putting styles, but it is also able to accommodate a given golfer's individual variations, i.e., dynamic shaft angle tolerance, within his or her own putting style.
[0081] In FIGS.
[0082] It will be understood that the strike face height FH was held constant for the putter head
[0083] A progression of calculations needed to determine the correct roll radius for the curved strike face
[0084] For example, when such using equations, for a club head
[0085] Depicted in
[0086] Yet a more complete and progressive listing of the optimum curved face roll radii for a widely-varying series of given face heights is set forth in the series of
[0087] A summary chart for the roll radius for a given face height putter is given in
[0088] Additionally,
[0089] The summary chart data of
[0090] C. Custom Fitting of Curved Face Putters
[0091] In view of the foregoing basic and advanced forms of the invention, it will be understood that it is possible to custom-fit a given golfer with a curved faced putter of a specific roll radius to accommodate a chosen specific putter design, i.e., face height, or an extreme putting style (i.e., one outside of either standard forward press or broken wrist styles), or for specific Stimpmeter (trademark) readings, i.e., for fast, medium, or slow greens. That is, once a golfer's given putting style is determined, the type putting greens that are present, and the particular face height of putter that is desired, then the specific static loft and roll radius can be calculated to custom-fit the golfer with a curved face putter.
[0092] Take for example, an extreme forward press type golfer, who desires a putter with, say, a 1.2 inch face height, and will be putting on extremely fast greens (i.e., best suited to have a 1-2° static loft). By using the charts of FIGS.
[0093] Further yet, via the foregoing fitting approach, a particular golfer can even be selectively custom-fit to have a curved face putter with a sufficient roll radius to accommodate various heights of putting surfaces, i.e., grass heights or green speeds, or various Stimpmeter (trademark) readings. For example, operators of professional golf tournaments normally have the putting surfaces relatively fast and mowed to a very short level, i.e., from approximately 0.125 to 0.156 inch. On the other hand, private country clubs and some of the better public courses have somewhat average speed, i.e., higher mowed putting grass surface, namely, cut to approximately from 0.156 to 0.281 inch; whereas most public courses have slower and yet much higher mowed putting surfaces, namely, ones cut to approximately from 0.172 to 0.281 inch.
[0094]
[0095]
[0096] The reasons behind selecting a specific strike roll radius R
[0097] Also, the upper radius R
[0098] From the foregoing, it is believed that those skilled in the art will readily appreciate the unique features and advantages of the present invention over previous types of curved face putters. Further, it is to be understood that while the present invention has been described in relation to particular basic and advanced embodiments, and putter systems, as set forth in the accompanying drawings and as above described, the same nevertheless are susceptible to change, variation and substitution of equivalents without departure from the spirit and scope of this invention. It is therefore intended that the present invention be unrestricted by the foregoing description and drawings, except as may appear in the following appended claims.