Enter the input velocity and gear ratio into the calculator to determine the output gear ratio velocity.

Gear Velocity Formula

The following equation is used to calculate the gear velocity.

GV = IV * GR
  • Where GV is the gear velocity (output velocity, m/s)
  • IV is the input velocity (m/s)
  • GR is the gear ratio

To calculate the gear velocity, multiply the input velocity by the gear ratio.

What is a Gear Velocity?


A gear velocity describes the output velocity of a gear system given an input speed and velocity ratio.

How to Calculate Gear Velocity?

Example Problem:

The following example outlines the steps and information needed to calculate Gear Velocity.

First, determine the input velocity. In this example, the input velocity is found to be 30 m/s.

Next, determine the gear ratio . For this problem, the gear ratio is found to be 4/1 = 4.

Finally, calculate the Gear Velocity using the formula above:

GV = IV * GR

GV = 30 * 4

GV = 120 m/s


What factors can affect gear velocity?

Several factors can influence gear velocity, including the input velocity, gear ratio, friction within the gear system, and the efficiency of the gears. Changes in any of these factors can alter the output gear velocity.

How do you increase gear velocity?

To increase gear velocity, you can either increase the input velocity or adjust the gear ratio. Using a higher gear ratio (assuming the gear ratio is defined as the output gear’s teeth number divided by the input gear’s teeth number) will result in a higher output velocity. However, it’s important to consider the limitations of the mechanical system to avoid damage.

Can gear velocity be calculated for any type of gear system?

Yes, gear velocity can be calculated for various types of gear systems, including spur, helical, bevel, and worm gears. The fundamental principle of multiplying the input velocity by the gear ratio applies to most gear systems, although the specific calculation might vary slightly based on the type of gears and their arrangement.