Gear Ratio Calculator
Compute gear ratio, output speed and output torque from teeth counts.
Input Data
Driver Teeth
teeth
Driven Teeth
teeth
Input Speed Rpm
rpm
Input Torque Nm
N·m
Results
driven/driver.
0.5
input/ratio.
200rpm
input·ratio.
5N·m
1/gear ratio.
2
At a glance:ratio = driven/driver; ω_out = ω_in/ratio; τ_out = τ_in·ratio. Complements torque and rpm.
Formula
ratio = N_driven/N_driver.
ω_out = ω_in/ratio.
$$\text{ratio} = \frac{N_1}{N_2}, \quad \omega_2 = \frac{\omega_1}{\text{ratio}}, \quad T_2 = T_1 \cdot \text{ratio}$$How to Use
- Enter teeth and input speed/torque.
- The tool returns ratio, output speed and torque.
Case Studies
driver=10, driven=30, ω_in=100
ratio=3, ω_out=33.3 rpm.
FAQ
More teeth driven?
Reduces speed, increases torque (mechanical advantage).
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.