Stage 25 · Trigonometry

25.6.5 Simple Harmonic Motion: Sine Waves in the Real World

25.6 y=Asin(ωx+φ) and Simple Harmonic Motion

Point 5 of 5

25.6.5 Simple Harmonic Motion: Sine Waves in the Real World

Core idea

A spring bobbing, a pendulum swinging, sound vibrating — the displacement over time is exactly a wave of the form Asin(ωt+φ).

Module goal. We treat a sine wave's amplitude, period, and phase as adjustable dials, understand how each parameter reshapes the graph, and use it to describe real back-and-forth motions like springs and sound.
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