Cum se calculează Simple Harmonic Motion
Ce este Simple Harmonic Motion?
Simple harmonic motion (SHM) describes oscillatory motion where acceleration is proportional to displacement and opposite in direction. Springs and pendulums exhibit SHM.
Formulă
x(t) = A × cos(ωt + φ); v = -Aω × sin(ωt + φ); a = -Aω² × cos(ωt + φ)
Ghid pas cu pas
- 1Enter amplitude A, angular frequency ω, initial phase φ
- 2Calculate position, velocity, and acceleration at time t
- 3Analyze period T = 2π/ω
Exemple rezolvate
Intrare
A = 0.5 m, ω = 2 rad/s, t = 0.5 s
Rezultat
x ≈ 0.24 m, v ≈ -0.87 m/s
Oscillation position and velocity
Greșeli frecvente de evitat
- ✕Confusing angular and regular frequency
- ✕Incorrect phase initial conditions
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