Enter the gear ratio and the input acceleration into the calculator to determine the Gear Ratio Acceleration. 

Gear Ratio Acceleration Formula

The following equation is used to calculate the Gear Ratio Acceleration.

  • Where GRA is the Output Gear Ratio Acceleration (m/s^2)
  • GR is the gear ratio
  • IA is the input acceleration (m/s^2)

To calculate the output acceleration from the gear ratio, multiply the input acceleration by the gear ratio.

What are the units for Gear Ratio Acceleration?

The most common units for Gear Ratio Acceleration are m/s^2.

How to Calculate Gear Ratio Acceleration?

Example Problem:

The following example problem outlines the steps and information required to calculate the Gear Ratio Acceleration.

First, determine the gear ratio. In this example, the gear ratio is measured to be 3.

Next, determine the input acceleration. For this problem, the input acceleration is calculated to be 40 (m/s^2).

Finally, calculate the Gear Ratio Acceleration using the formula above: 


Inserting the values from above and solving the equation gives us: 

GRA = 3 * 40 = 120 (m/s^2)