Calculate period, frequency, and displacement of an oscillating system.
Input Parameters
Displacement Parameters
Calculation Results
Enter parameters to calculate
About this calculator
Quick Reference
T2π / ω
f1 / T
ω2πf
AMax Displacement
Overview
Simple Harmonic Motion (SHM) is a type of periodic motion where the restoring force is directly proportional to the displacement and acts in the direction opposite to that of displacement.
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Pro Tips
Period (T) is the time for one complete cycle.
Frequency (f) is the number of cycles per unit time (f = 1/T).
Angular frequency (ω) is the rate of change of phase (ω = 2πf).
Displacement x(t) = A * cos(ωt + φ).
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Fun Facts
"A weight on a spring and a simple pendulum are classic examples of SHM."
"In SHM, the acceleration is always directed towards the equilibrium position."
"The motion of atoms in a crystal lattice can often be modeled as SHM."
