⬅️ Back to index

Simple Pendulum — Find g 🎮⏱️

Use time for N oscillations: g = (4π² L) / T²
SS2 • Mechanics ✅
m
Tap Start, wait N swings, then Stop. Or use Auto-measure 🤖.
0.20–1.50 m recommended.
Time several swings to average out error.

Hidden true g (m/s²):
— hidden —
(Revealed after compute)
Your estimate g (m/s²):
Get 3+ readings for accuracy ⭐
Graph-fit g (from T² vs L):
Slope s = T²/L ⇒ g = 4π² / s

Readings (time for N oscillations) 📋

#L (m)NTime (s)Period T (s)
We add small timing noise (human reaction ±0.05s).

Graph: T² (s²) vs Length L (m) 📈

For a simple pendulum: T = 2π√(L/g) ⇒ T² = (4π²/g)L

Quick Theory 🧠

For small amplitudes, T = 2π√(L/g). Measure time for N oscillations, T = t/N, then g = (4π² L)/T².