# Input Torque Calculator, Formula, Input Torque Calculation

## Input Torque Calculator:

Enter the values of Output Torque, To(N.m) and Gear Ratio, GR to determine the value of Input Torque, Ti(N.m).

 Enter Output Torque: N.m Enter Gear Ratio: Result – Input Torque: N.m

## Input Torque Formula:

The input torque formula is utilized to determine the torque required at the input of a mechanical system, such as a gearbox, to achieve a desired torque at the output, taking into account the gear ratio.

Input Torque, Ti(N.m) in Newton metres, is calculated by dividing the Output Torque, To(N.m) also in Newton metres, by the Gear Ratio, GR which is a dimensionless number.

Input Torque, Ti(N.m) = To(N.m) / GR.

Ti(N.m) = input torque in Newton metre, N.m.

To(N.m) = output torque in Newton metres, N.m.

GR = gear ratio.

### Input Torque Calculation:

1. Suppose you need an output torque of 600 N.m to drive a mechanical system and you have a gearbox with a gear ratio of 3:1. Calculate the input torque required.

Given: To(N.m) = 600N.m, GR = 3

Input Torque, Ti(N.m) = To(N.m) / GR.

Ti(N.m) = 600 / 3

Ti(N.m) = 200N.m.

1. For a heavy-duty application, an input torque of 300 N.m is applied and the available gearbox has a gear ratio of 4:1. Find the output torque needed to meet this requirement.

Given: Ti(N.m) = 300N.m, GR = 4

Input Torque, Ti(N.m) = To(N.m) / GR.

To(N.m) = Ti(N.m) * GR

To(N.m) = 300 * 4

To(N.m) = 1200N.m.