Simple Harmonic Motion Calculator

Find the position of an oscillator at a given time.

Position 0
Maximum speed 1.257

Formula: x = A·cos(2πf·t)

Step-by-step with your numbers:
1. Values used:
2. Amplitude = 0.2
3. Frequency = 1 Hz
4. Time = 0.25
5.
6. Position = 0
7. Maximum speed = 1.257
Did we solve your problem today?

Simple harmonic motion describes oscillations like springs and pendulums.

The math behind it

x = A·cos(ωt) with ω = 2πf. The maximum speed is A·ω, reached as it passes through the center.

Worked example

A = 0.2 m, f = 1 Hz, t = 0.25 s → x ≈ 0 (passing center).

FAQ

What sets the frequency?

For a spring, f depends on stiffness and mass; for a pendulum, on length and gravity.