Gear Torque Calculator, Formula, Gear Torque Calculation

Gear Torque Calculator:

Enter the value of the input torque T_i(N.m) and the gear ratio GR to determine the value of Output Torque T_o(N.m).

Gear Torque Formula:

The gear torque conversion reflects the change in torque output resulting from the gear ratio in mechanical systems.

Output Torque T_o(N.m) in Newton metre, is equated by multiplying the input torque T_i(N.m) in Newton metre by the gear ratio GR.

Output Torque T_o(N.m) = T_{i (N.m)} * GR

T_o(N.m) = Output Torque in Newton metre, N.m.

T_{i (N.m)} = Input Torque in Newton metre, N.m.

GR = Gear Ratio.

Gear Torque Calculation:

1. A motor delivers an input torque of 150 N.m to a gearbox. The gear ratio of the gearbox is 4:1. Calculate the output torque of the gearbox.

Given: T_{i (N.m)} = 150N.m, GR = 4

Output Torque, T_o(N.m) = T_{i (N.m)} * GR

T_o(N.m) = 150 * 4

Output Torque, T_o(N.m) = 600N.m.

2. An engine applies an output torque of 500 N.m to a gear system. The gear system has a gear ratio of 2.5:1. Find the input torque produced by the gear system.

Given: Given: T_o(N.m) = 500N.m, GR = 2.5

Output Torque, T_o(N.m) = T_{i (N.m)} * GR

500 = T_i(N.m) * 2.5

T_i(N.m) = 200N.m.

Simple Gears Explained | Calculate Gear Ratio, Torque & Angular Speed