Simple Harmonic Motion Calculator
Visualize and calculate displacement in Simple Harmonic Motion.
Parameters
Enter the parameters for Simple Harmonic Motion calculation.
The displacement x(t) is calculated using the formula: x(t) = A * cos(2π * f * t + φ)
units
Hz
radians
Enter comma-separated values for time.
Displacement Values
SHM Visualization
Understanding Simple Harmonic Motion
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. It's often visualized as the projection of uniform circular motion onto a diameter. Examples include a pendulum swinging with a small angle, a mass-spring system, and oscillations in electrical circuits.
- Amplitude (A): The maximum displacement from the equilibrium position.
- Frequency (f): The number of oscillations per unit time, measured in Hertz (Hz).
- Phase Shift (φ): Determines the initial position of the oscillation at time t=0.
- Formula: The displacement x(t) at time t is given by: x(t) = A * cos(2π * f * t + φ)
Learn more about SHM on Wikipedia.