Simple Harmonic Motion Calculator
Calculate displacement, velocity, and acceleration in simple harmonic motion
About this calculator
Our Simple Harmonic Motion Calculator helps you analyze oscillatory motion by computing displacement, velocity, and acceleration at any given time. This tool is essential for physics students, engineers, and researchers studying pendulums, springs, waves, and other periodic systems. Whether you're solving homework problems or designing mechanical systems, this calculator provides instant, accurate results for all SHM parameters using fundamental physics equations.
How to use
Enter the amplitude, angular frequency, phase constant, and time value into the respective fields. The calculator will instantly compute the displacement, velocity, and acceleration for your simple harmonic motion system. All results are displayed with appropriate units for easy interpretation and analysis.
Frequently asked questions
What is simple harmonic motion?
Simple harmonic motion is periodic oscillatory motion where the restoring force is proportional to displacement, like a mass on a spring or pendulum swinging.
How do I find angular frequency?
Angular frequency (ω) equals 2π divided by the period (T), or it can be calculated as the square root of k/m for spring systems.
What units should I use in the calculator?
Use consistent SI units: meters for amplitude and displacement, radians per second for angular frequency, and seconds for time values.