Acceleration to impulse calculator

This calculator converts acceleration and time into impulse, helping you understand the change in momentum of an object during a time interval.

Input Parameters

Calculation Results

Calculation Formula

Impulse (J) = Acceleration (a) × Time (t)

Where:
- Impulse (J) is the change in momentum (Ns)
- Acceleration (a) is the rate of change of velocity (m/s²)
- Time (t) is the duration of the acceleration (s)

Result

Impulse (J): 0.00 Ns

Acceleration to impulse calculator Calculator Usage Guide

Learn how to use the Acceleration to impulse calculator and its working principles

How to use this calculator

  1. Enter the acceleration value in meters per second squared (m/s²). This is the rate at which velocity changes.
  2. Enter the time duration in seconds (s) during which the acceleration occurs.
  3. Click the "Calculate" button to compute the impulse.
  4. The result will be displayed in Newton-seconds (Ns), which represents the change in momentum.

Principle behind the calculation

Impulse is defined as the product of acceleration and time. It represents the change in momentum of an object when subjected to a force over a specific time period. The formula used is:

Impulse (J) = Acceleration (a) × Time (t)

This relationship comes from Newton's second law of motion, where force equals mass times acceleration (F = ma). When integrated over time, this becomes impulse equals change in momentum.

Example

If an object with a mass of 2 kg accelerates at 5 m/s² for 3 seconds, what is the impulse?

Solution: Impulse = 5 m/s² × 3 s = 15 Ns
This means the object's momentum has changed by 15 Ns.