Enter the joules of energy, the mass, and the time into the calculator to determine the Joules to Acceleration. 

Joules to Acceleration Formula

The following equation is used to calculate the Joules to Acceleration.

A = SQRT( (2*E/m)^2 / t)
  • Where A is the Joules to Acceleration (m/s^2)
  • E is the joules of energy (Joules)
  • m is the mass (kg)
  • t is the time (s)

To calculate acceleration from joules of energy, multiply the energy by 2, divide by the mass, square this result, then divide by the time. Finally, take the square root of this result.

What are the units for Joules to Acceleration?

The most common units for Joules to Acceleration are m/s^2.

How to Calculate Joules to Acceleration?

Example Problem:

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

First, determine the joules of energy. In this example, the joules of energy is determined to be 400 (Joules).

Next, determine the mass. For this problem, the mass is measured to be 200 (kg).

Next, determine the time. In this case, the time is found to be 100 (s).

Finally, calculate the Joules to Acceleration using the formula above: 

A = SQRT( 2*E/m)^2 / t

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

A = SQRT( 2*400/200)^2 / 100 = .04 (m/s^2)