TDR Tools

Gear ratio calculator

Simple pairs, multi-stage trains, planetary sets and belt drives — with rotating mesh animation and full torque/power output.

Ideal kinematics with stage efficiency. Ignore backlash, deflection and dynamic load factors for final sizing.

Drivetrain

Animation speed · 1.0×
Pressure angle α · 20°

Inputs

Presets
Driver teeth Z₁
Driven teeth Z₂
Mesh
Module m (mm)
Efficiency · 98%
Input speed (rpm)
Input torque (N·m)

Results

Ratio

1 : 3

Reduction · i = 3

Reverses

Output speed

-500rpm

Output torque (net)

29.4N·m

(≈ 3 kgf·m)

Output torque (theo.)

30N·m

Efficiency

98%

Input power

1.57kW

Output power

1.54kW

Pitch Ø driver
40 mm
Pitch Ø driven
120 mm
Center distance
80 mm

Formulas

i = Z₂ / Z₁ n₂ = n₁ / i (external mesh reverses rotation)

T_out ≈ T_in × |i| × η P = T × ω

Need motion hardware that matches these numbers?

Explore the TDR lineup or talk to applications engineering.