Enter the x-component of acceleration, and the y-component of acceleration, into the calculator to determine the Magnitude of Acceleration. 

Magnitude of Acceleration Formula

The following equation is used to calculate the Magnitude of Acceleration.

A = SQRT ( Ax^2  + Ay^2)

  • Where A is the Magnitude of Acceleration (m/s^2)
  • Ax is the x-component of acceleration (m/s^2)
  • Ay is the y-component of acceleration (m/s^2)

What are the units for Magnitude of Acceleration?

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

How to Calculate Magnitude of Acceleration?

Example Problem:

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

First, determine the x-component of acceleration. In this example, the x-component of acceleration is calculated or measured to be 25  (m/s^2).

Next, determine the y-component of acceleration. For this problem, the y-component of acceleration is determined to be 50 (m/s^2).

Finally, calculate the Magnitude of Acceleration using the formula above: 

A = SQRT ( Ax^2  + Ay^2)

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

A = SQRT ( 25^2  + 50^2) = 55.901 (m/s^2)