Spring-Mass Oscillator Calculator
Calculate simple harmonic motion. Find period, frequency, amplitude, and energy of spring-mass systems.
Oscillation Properties
3.1623rad/s
Angular Frequency
1.9869s
Period
0.5033Hz
Frequency
Max Values
Max Velocity:1.5811 m/s
Max Acceleration:5 m/s²
Energy
Max KE:1.25 J
Max PE:1.25 J
Total Energy:1.25 J
Spring-Mass Animation

Formulas

Simple harmonic motion of a mass on a spring, assuming no damping or friction.

Angular Frequency: omega = sqrt(k/m)
Period: T = 2*pi*sqrt(m/k)
Frequency: f = 1/T
Position: x(t) = A*cos(omega*t + phi)
Velocity: v(t) = -A*omega*sin(omega*t + phi)
Total Energy: E = (1/2)*k*A^2

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