Physics

Simple Harmonic Motion Calculator

Find the position of an oscillator at a given time.

Amplitude

Frequency (Hz)

Time

Calculated Output

Position 0

Maximum speed 1.257

Formula: x = A·cos(2πf·t)

Step-by-Step Breakdown

1. Values used:

2. Amplitude = 0.2

3. Frequency = 1 Hz

4. Time = 0.25

6. Position = 0

7. Maximum speed = 1.257

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The math behind it

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

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

What sets the frequency?

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