Free Online Calculators

Impulse Calculator

Calculate impulse from force and time or from mass and velocity change.

Physics Formula

J = F · Δt

Momentum & Impulse

In physics, Momentum (p) is "mass in motion". Impulse (J) is the force applied over time that changes an object's momentum.

Impulse (J)

Defined as the integral of force over time. It equals the change in momentum ($\Delta p$).

J = F · Δt

Common Impacts

Baseball Bat Hit~13.5 kg·m/s
Car Crash (30mph)~20,000 kg·m/s
Walking Step~5 kg·m/s

impulse formulas and interpretation

Impulse measures the effect of force acting over a time interval.

Impulse equals the resulting change in linear momentum.

How to use the impulse calculator

  1. Choose a model: Select the relationship matching the problem.
  2. Choose the unknown: Select the quantity to calculate.
  3. Enter values: Enter all known values with matching units and signs.
  4. Calculate: Review the result, formula, units, and direction.

Formula and variables

For constant average force, impulse equals force times duration and equals momentum change.

J = FΔt = Δp
J — Impulse
Change in momentum (N·s)
F — Force
Average net force (N)
Δt — Time interval
Force duration (s)

Force pulse example

A 10 N force acts for 3 seconds.

Force
10 N
Time
3 s
  1. J = 10 × 3
  2. J = 30 N·s

Result: Impulse is 30 N·s.

Momentum changes by 30 kg·m/s.

Understanding your results

Interpreting the result

Impulse direction follows the average net force.

Assumptions

  • The selected equation represents the physical system.
  • Inputs use a consistent reference direction.
  • Values are converted through coherent SI units.

Limitations

  • Vector components must be resolved along a common axis.
  • External forces or energy losses are not added automatically.
  • Results depend on the accuracy of entered measurements.

Common mistakes

  • Mixing incompatible units.
  • Dropping negative signs that represent direction.
  • Using weight where mass is required.
  • Entering a zero divisor.

Practical use cases

Physics problems

Check classroom, laboratory, and mechanics calculations.

Practical estimates

Estimate motion, forces, and energy for real systems.

Frequently asked questions

Can a result be negative?

Yes. For directional quantities, the sign indicates direction relative to the chosen positive axis.

Should I use SI units?

The interface can convert supported units, while the formulas are evaluated through coherent SI units.

Sources and review

Reviewed 2026-07-11.

Related Calculators

Continue with calculators that answer nearby questions and help compare the next step.

Momentum Calculator

Use this free momentum for science calculations. Get instant, accurate results with clear inputs and no signup required.

Momentum and Collision Calculator

Calculate momentum, impulse, and collision outcomes

Force Calculator

Use this free force for science calculations. Get instant, accurate results with clear inputs and no signup required.

Acceleration Calculator

Use this free acceleration for science calculations. Get instant, accurate results with clear inputs and no signup required.

Angular Acceleration Calculator

Use this free angular acceleration for science calculations. Get instant, accurate results with clear inputs and no signup required.

Angular Impulse Calculator

Use this free angular impulse for science calculations. Get instant, accurate results with clear inputs and no signup required.