Stage 25 · Trigonometry

25.6.2 Frequency ω: How Tightly Packed the Wave Is

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

Point 2 of 5

25.6.2 Frequency ω: How Tightly Packed the Wave Is

Core idea

ω is like a fast-forward button — the bigger it gets, the tighter the wave and the shorter the period, which equals 2π÷ω.

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.
eastmath.com · 25.6 y=Asin(ωx+φ) and Simple Harmonic Motion · 25.6.2 Frequency ω: How Tightly Packed the Wave Is