Simple Harmonic Motion Calculator
Calculate period, frequency, and angular frequency for a spring-mass system in simple harmonic motion.
About this calculator
The Simple Harmonic Motion Calculator on NumberCals is a free, mobile-friendly tool for anyone needing to calculate period, frequency, and angular frequency for a spring-mass system in simple harmonic motion. Enter your values in the form below and the result is computed instantly — no sign-up, no installation, no waiting.
Formula used
T = 2π·√(m/k); f = 1/T; ω = √(k/m)
What you'll need
- Mass (kg) (e.g. 0.5)
- Spring Constant k (N/m) (e.g. 50)
What you'll get
- Period T (s)
- Frequency f (Hz)
- Angular Frequency ω (rad/s)
Formula
T = 2π·√(m/k); f = 1/T; ω = √(k/m)
Result
Frequently Asked Questions
What's SHM? +
Motion where the restoring force is proportional to displacement (F = −kx). Springs, pendulums, oscillating molecules — all approximate SHM near equilibrium.
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