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)