Simple Pendulum Lab
Period vs length, damping, SHM equations
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Length L (m)
1.00 m
Initial Angle θ₀ (°)
20°
Damping b
0.05
Gravity g
Earth — 9.8 m/s²
Moon — 1.6 m/s²
Mars — 3.7 m/s²
Jupiter — 24.8 m/s²
Period T
—
Frequency f
—
Current θ
—
Angular vel ω
—
Key Formulae
T = 2π√(L/g)
θ(t) = θ₀·cos(ωt)·e^(-bt)
E = mgl(1 - cosθ)
ω = √(g/L)
A simple pendulum exhibits Simple Harmonic Motion for small angles. The period depends only on length and gravity — not mass or amplitude. Damping causes exponential decay of amplitude over time.
θ vs Time Graph