Spring Oscillation Calculator

Simple Harmonic Motion Formulas:

F = -kx (Hooke's Law)
Period: T = 2π√(m/k)
Frequency: f = 1/T = (1/2π)√(k/m)
Angular Frequency: ω = 2πf = √(k/m)
Potential Energy: PE = ½kx²
Maximum Velocity: v_max = Aω = A√(k/m)

Spring Constant (k) - N/m:

Mass (m) - kg:

Displacement (x) - meters:

Amplitude (A) - meters:

Period (T) - seconds:

Frequency (f) - Hz:

Simple Harmonic Motion Concepts:

Spring Constant (k): Measures the stiffness of the spring. Higher values mean stiffer springs.

Period (T): Time for one complete oscillation cycle.

Frequency (f): Number of oscillations per second.

Amplitude (A): Maximum displacement from equilibrium position.

Angular Frequency (ω): Rate of change of phase in radians per second.