learn.howToCalculate
learn.whatIsHeading
Simple harmonic motion (SHM) describes oscillatory motion where acceleration is proportional to displacement and opposite in direction. Springs and pendulums exhibit SHM.
Formel
x(t) = A × cos(ωt + φ); v = -Aω × sin(ωt + φ); a = -Aω² × cos(ωt + φ)
Steg-för-steg-guide
- 1Enter amplitude A, angular frequency ω, initial phase φ
- 2Calculate position, velocity, and acceleration at time t
- 3Analyze period T = 2π/ω
Lösta exempel
Ingång
A = 0.5 m, ω = 2 rad/s, t = 0.5 s
Resultat
x ≈ 0.24 m, v ≈ -0.87 m/s
Oscillation position and velocity
Vanliga misstag att undvika
- ✕Confusing angular and regular frequency
- ✕Incorrect phase initial conditions
Redo att beräkna? Prova den kostnadsfria Simple Harmonic Motion-kalkylatorn
Prova själv →