Enter the power, the mass, and the time into the calculator to determine the Acceleration from Power. 

Power to Acceleration Formula

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

a = SQRT ( P/(2*m*t))
  • Where a is the Power to Acceleration (m/s^2)
  • P is the power (N-m)
  • m is the mass (kg)
  • t is the time (s)

To calculate acceleration from power, divide the power by the product of 2 times the mass times time, then take the square root of the result.

What are the units for Power to Acceleration?

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

How to Calculate Power to Acceleration?

Example Problem:

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

First, determine the power. In this example, the power is determined to be 500 (N-m).

Next, determine the mass. For this problem, the mass is measured to be 12 (kg).

Next, determine the time. In this case, the time is found to be 5 (s).

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

a = SQRT ( P/(2*m*t))

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

a = SQRT ( 500/(2*12*5)) = 2.04 (m/s^2)