Simple Harmonic Motion Calculator
Describes a steady oscillation at any instant.
Displacement at that time
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Velocity at that time —
Acceleration at that time — m/s²
Peak speed —
Peak acceleration — m/s²
Period —
Frequency —
Total energy —
Assumes —
The formula
x = A cos(ωt + φ) v = −Aω sin(ωt + φ) a = −Aω² cos(ωt + φ) ω = 2πf = √(k ÷ m)
Peak speed comes at the centre of the swing, and peak acceleration at each end.
What to watch out for
The frequency of a mass on a spring does not depend on the amplitude.
Frequently Asked Questions
What is the period of a 0.5 kg mass on a 200 N/m spring?
0.314 s.
What is the peak speed at 5 cm amplitude and 1 Hz?
0.314 m/s, with a peak acceleration of 1.97 m/s².