# Simple Harmonic Motion Calculator

Enter the amplitude, time, angular frequency of an object in simple harmonic motion. The calculator will evaluate and display the velocity, displacement, and acceleration.

## Simple Harmonic Motion Formula

The following formulas are used by the calculator above to calculate displacement, acceleration, and velocity of an object in harmonic motion.

`y = A * sin(wt)`

`v = A * w * cos(wt)`

`a = - A * w² * sin(wt)`

• Where y is the displacement
• v is the velocity
• a is the acceleration
• w is the angular frequency (rad/sec)
• t is the time (sec)
• A is the amplitude

The units for each of of the 3 equations above depend on the amplitude. For example if the amplitude is measure in inches, displacement is in in, velocity is in/s, and acceleration is in/s^2

## FAQ

What is simple harmonic motion?

Simple harmonic motion is motion described by swinging back and forth like a pendulum and taking the assumption that no outside forces act on it. That is it wouldn’t slow down once started. This is obviously a simplistic view since air resistance and friction would work against it, hence the the name “simple”