Enter the x-component of force (N), the y-component of force (N), and the change in time (s) into the calculator to determine the Magnitude of Impulse. 

Magnitude of Impulse Formula

The following formula is used to calculate the Magnitude of Impulse.

J = SQRT( Fx^2 + Fy^2) * dt
  • Where J is the Magnitude of Impulse (N-s)
  • Fx is the x-component of force (N) 
  • Fy is the y-component of force (N) 
  • dt is the change in time (s) 

To calculate the magnitude of impulse, multiply the magnitude of the force by the change in time.

How to Calculate the Magnitude of Impulse?

The following example problems outline how to calculate the Magnitude of Impulse.

Example Problem #1

  1. First, determine the x-component of force (N). In this example, the x-component of force (N) is given as 30 .
  2. Next, determine the y-component of force (N). For this problem, the y-component of force (N) is given as  20 .
  3. Next, determine the change in time (s). In this case, the change in time (s) is found to be 5.
  4. Finally, calculate the Magnitude of Impulse using the formula above: 

J = SQRT( Fx^2 + Fy^2) * dt

Inserting the values from above yields: 

J = SQRT( 30^2 + 20^2) * 5 = 180.227 (N-s)

Example Problem #2

Using the same method as above, determine the variables required by the equation. For this example problem, these are as follows:

x-component of force (N) = 150

y-component of force (N) = 60

change in time (s) = 10

Entering these given values and solving gives: 

J = SQRT( 150^2 + 60^2) * 10 = 1615.54 (N-s)