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”

simple harmonic motion calculator

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