The formula to calculate Gear Ratio (G) is:
\[ G = \frac{N_B}{N_A} \]
Where:
The Gear Ratio is the ratio of the output gear speed to the input gear speed or the ratio of the number of teeth on the gear to that on the pinion.
Speed of Shaft B in RPM is the speed at which the shaft tends to vibrate violently in the transverse direction.
Speed of Shaft A in RPM is the speed at which the shaft tends to vibrate violently in the transverse direction.
Let's assume the following values:
Using the formula:
\[ G = \frac{N_B}{N_A} \]
Evaluating:
\[ G = \frac{0.1}{9} \]
The Gear Ratio is 0.0111111111111111.
| Speed of Shaft B (NB) | Speed of Shaft A (NA) | Gear Ratio (G) |
|---|---|---|
| 0.1 | 1 | 0.100000000000000 |
| 0.1 | 2 | 0.050000000000000 |
| 0.1 | 3 | 0.033333333333333 |
| 0.1 | 4 | 0.025000000000000 |
| 0.1 | 5 | 0.020000000000000 |
| 0.1 | 6 | 0.016666666666667 |
| 0.1 | 7 | 0.014285714285714 |
| 0.1 | 8 | 0.012500000000000 |
| 0.1 | 9 | 0.011111111111111 |
| 0.1 | 10 | 0.010000000000000 |
| 0.2 | 1 | 0.200000000000000 |
| 0.2 | 2 | 0.100000000000000 |
| 0.2 | 3 | 0.066666666666667 |
| 0.2 | 4 | 0.050000000000000 |
| 0.2 | 5 | 0.040000000000000 |
| 0.2 | 6 | 0.033333333333333 |
| 0.2 | 7 | 0.028571428571429 |
| 0.2 | 8 | 0.025000000000000 |
| 0.2 | 9 | 0.022222222222222 |
| 0.2 | 10 | 0.020000000000000 |
| 0.3 | 1 | 0.300000000000000 |
| 0.3 | 2 | 0.150000000000000 |
| 0.3 | 3 | 0.100000000000000 |
| 0.3 | 4 | 0.075000000000000 |
| 0.3 | 5 | 0.060000000000000 |
| 0.3 | 6 | 0.050000000000000 |
| 0.3 | 7 | 0.042857142857143 |
| 0.3 | 8 | 0.037500000000000 |
| 0.3 | 9 | 0.033333333333333 |
| 0.3 | 10 | 0.030000000000000 |
| 0.4 | 1 | 0.400000000000000 |
| 0.4 | 2 | 0.200000000000000 |
| 0.4 | 3 | 0.133333333333333 |
| 0.4 | 4 | 0.100000000000000 |
| 0.4 | 5 | 0.080000000000000 |
| 0.4 | 6 | 0.066666666666667 |
| 0.4 | 7 | 0.057142857142857 |
| 0.4 | 8 | 0.050000000000000 |
| 0.4 | 9 | 0.044444444444444 |
| 0.4 | 10 | 0.040000000000000 |
| 0.5 | 1 | 0.500000000000000 |
| 0.5 | 2 | 0.250000000000000 |
| 0.5 | 3 | 0.166666666666667 |
| 0.5 | 4 | 0.125000000000000 |
| 0.5 | 5 | 0.100000000000000 |
| 0.5 | 6 | 0.083333333333333 |
| 0.5 | 7 | 0.071428571428571 |
| 0.5 | 8 | 0.062500000000000 |
| 0.5 | 9 | 0.055555555555556 |
| 0.5 | 10 | 0.050000000000000 |
| 0.6 | 1 | 0.600000000000000 |
| 0.6 | 2 | 0.300000000000000 |
| 0.6 | 3 | 0.200000000000000 |
| 0.6 | 4 | 0.150000000000000 |
| 0.6 | 5 | 0.120000000000000 |
| 0.6 | 6 | 0.100000000000000 |
| 0.6 | 7 | 0.085714285714286 |
| 0.6 | 8 | 0.075000000000000 |
| 0.6 | 9 | 0.066666666666667 |
| 0.6 | 10 | 0.060000000000000 |
| 0.7 | 1 | 0.700000000000000 |
| 0.7 | 2 | 0.350000000000000 |
| 0.7 | 3 | 0.233333333333333 |
| 0.7 | 4 | 0.175000000000000 |
| 0.7 | 5 | 0.140000000000000 |
| 0.7 | 6 | 0.116666666666667 |
| 0.7 | 7 | 0.100000000000000 |
| 0.7 | 8 | 0.087500000000000 |
| 0.7 | 9 | 0.077777777777778 |
| 0.7 | 10 | 0.070000000000000 |
| 0.8 | 1 | 0.800000000000000 |
| 0.8 | 2 | 0.400000000000000 |
| 0.8 | 3 | 0.266666666666667 |
| 0.8 | 4 | 0.200000000000000 |
| 0.8 | 5 | 0.160000000000000 |
| 0.8 | 6 | 0.133333333333333 |
| 0.8 | 7 | 0.114285714285714 |
| 0.8 | 8 | 0.100000000000000 |
| 0.8 | 9 | 0.088888888888889 |
| 0.8 | 10 | 0.080000000000000 |
| 0.9 | 1 | 0.900000000000000 |
| 0.9 | 2 | 0.450000000000000 |
| 0.9 | 3 | 0.300000000000000 |
| 0.9 | 4 | 0.225000000000000 |
| 0.9 | 5 | 0.180000000000000 |
| 0.9 | 6 | 0.150000000000000 |
| 0.9 | 7 | 0.128571428571429 |
| 0.9 | 8 | 0.112500000000000 |
| 0.9 | 9 | 0.100000000000000 |
| 0.9 | 10 | 0.090000000000000 |
| 1 | 1 | 1.000000000000000 |
| 1 | 2 | 0.500000000000000 |
| 1 | 3 | 0.333333333333333 |
| 1 | 4 | 0.250000000000000 |
| 1 | 5 | 0.200000000000000 |
| 1 | 6 | 0.166666666666667 |
| 1 | 7 | 0.142857142857143 |
| 1 | 8 | 0.125000000000000 |
| 1 | 9 | 0.111111111111111 |
| 1 | 10 | 0.100000000000000 |