Enter the amplitude of the motion and the angular frequency into the calculator to determine the Maximum Acceleration. 

Maximum Acceleration Formula

The following equation is used to calculate the Maximum Acceleration.

Amax = A*(2*pi*f)^2
  • Where Amax is the Maximum Acceleration (m/s^2)
  • A is the amplitude of the motion (m)
  • f is the angular frequency (hz = 1/s)

To calculate a maximum acceleration, multiply the amplitude of motion by the product of 2 times pi times the frequency raised to the power of 2.

What are the units for Maximum Acceleration?

In the International System of Units, also known as SI units, the units for Maximum Acceleration are m/s^2.

How to Calculate Maximum Acceleration?

Example Problem:

The following example problem outlines the steps and information needed to calculate the Maximum Acceleration.

First, determine the amplitude of the motion. In this example, the amplitude of the motion is calculated or measured to be 5 (m).

Next, determine the angular frequency. For this problem, the angular frequency is determined to be 500 (hz = 1/s).

Finally, calculate the Maximum Acceleration using the formula above: 

Amax = A*(2*pi*f)^2

Inserting the values from above and solving the equation with the imputed values gives: 

Amax = 5*(2*3.14159*500)^2 = 49,347,938.64 (m/s^2)