Kuinka laskea Simple Harmonic Motion
Mikä on 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.
Kaava
x(t) = A × cos(ωt + φ); v = -Aω × sin(ωt + φ); a = -Aω² × cos(ωt + φ)
Vaiheittainen opas
- 1Enter amplitude A, angular frequency ω, initial phase φ
- 2Calculate position, velocity, and acceleration at time t
- 3Analyze period T = 2π/ω
Ratkaistut esimerkit
Syöte
A = 0.5 m, ω = 2 rad/s, t = 0.5 s
Tulos
x ≈ 0.24 m, v ≈ -0.87 m/s
Oscillation position and velocity
Yleisiä virheitä vältettäväksi
- ✕Confusing angular and regular frequency
- ✕Incorrect phase initial conditions
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