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.
Fórmula
x(t) = A × cos(ωt + φ); v = -Aω × sin(ωt + φ); a = -Aω² × cos(ωt + φ)
Guia passo a passo
- 1Enter amplitude A, angular frequency ω, initial phase φ
- 2Calculate position, velocity, and acceleration at time t
- 3Analyze period T = 2π/ω
Exemplos resolvidos
Entrada
A = 0.5 m, ω = 2 rad/s, t = 0.5 s
Resultado
x ≈ 0.24 m, v ≈ -0.87 m/s
Oscillation position and velocity
Erros comuns a evitar
- ✕Confusing angular and regular frequency
- ✕Incorrect phase initial conditions
Pronto para calcular? Experimente a calculadora Simple Harmonic Motion gratuita
Experimente você mesmo →