Force over time

Impulse Calculator

Solve impulse, force, or time interval using J = FΔt.

Enter two known values

Solve an impulse problem

Free tool
N·s

This is the value being calculated.

N

Average force acting during the time interval.

s

Positive duration for which the force acts.

Use newton-seconds for impulse, newtons for force, and seconds for the time interval.

Try an example:

Your impulse result will appear here

Choose the missing variable and enter the other two known values.

Physics overview

What is impulse?

Impulse measures the effect of a force acting over a period of time. A larger force or a longer time interval produces a greater impulse.

Formula

Impulse formula

ImpulseJ = FΔt

  • J is impulse in newton-seconds.
  • F is average force in newtons.
  • Δt is the time interval in seconds.

Worked example

A 120 N force acts for 0.5 s

  1. Write the formula: J = FΔt.
  2. Substitute the values: J = 120 × 0.5.
  3. Calculate the impulse: J = 60 N·s.

Momentum relationship

Impulse equals change in momentum

Impulse-Momentum TheoremJ = Δp

An impulse changes an object's momentum. The same impulse can result from a large force acting briefly or a smaller force acting for longer.

Rearranged equations

Solve for force or time

Force

F = J ÷ Δt

Divide impulse by the time interval.

Time Interval

Δt = J ÷ F

Divide impulse by force.

Units

Standard SI units

Use newton-seconds for impulse, newtons for force, and seconds for time. One newton-second is equivalent to one kilogram-meter per second.

Real-world applications

Where impulse calculations are used

  • Collisions and impact experiments.
  • Sports involving balls, bats, or rackets.
  • Vehicle safety systems and crumple zones.
  • Laboratory momentum investigations.

Calculation limits

Important assumptions

  • Impulse, force, and time interval must be greater than zero.
  • The force value represents the average force over the interval.
  • Time should be entered in seconds.
  • The calculator uses magnitudes and does not represent vector direction.
  • Units are not converted automatically.

Questions and answers

Impulse calculator FAQ

What formula does the impulse calculator use?

It uses J = FΔt, where impulse equals average force multiplied by the time interval.

What is the SI unit of impulse?

The SI unit of impulse is the newton-second, written as N·s. It is equivalent to kilogram-meter per second.

How is impulse related to momentum?

Impulse equals the change in momentum of an object, so J = Δp.

How do you calculate force from impulse?

Divide impulse by the time interval using F = J ÷ Δt.

Accuracy and transparency

Created and maintained by our editorial team

This physics calculator is maintained by the Science Lab Tools Editorial Team. Its calculation logic is tested with representative inputs, while the supporting guidance is checked for formula clarity, units, assumptions, and common mistakes.

Learn more about our formula-review and correction process, or read about Science Lab Tools.

  • Calculation logic tested
  • Variables and units explained
  • Assumptions stated clearly
  • Corrections handled transparently