Acceleration from amplitude calculator

This calculator computes the acceleration of an object undergoing simple harmonic motion based on its amplitude and angular frequency.

Input Parameters

Calculation Results

Calculation Formula

a = Aω²

Where:
a = Acceleration (m/s²)
A = Amplitude (meters)
ω = Angular Frequency (radians/second)

Acceleration from amplitude calculator Calculator Usage Guide

Learn how to use the Acceleration from amplitude calculator calculator and its working principles

How to Use the Calculator

  1. Enter the amplitude (A) of the simple harmonic motion in meters.
  2. Enter the angular frequency (ω) of the simple harmonic motion in radians per second.
  3. Click the "Calculate" button to compute the acceleration.
  4. The acceleration will be displayed in meters per second squared (m/s²).

Working Principle

The acceleration (a) of an object undergoing simple harmonic motion is directly proportional to its displacement (amplitude) from the equilibrium position and inversely proportional to the square of the period (T). The relationship is given by the formula:

a = Aω²

Where:

  • a = Acceleration (m/s²)
  • A = Amplitude (meters)
  • ω = Angular Frequency (radians/second)

This calculator assumes ideal simple harmonic motion with no damping or external forces.