PhysicsChapter 3: Simple Harmonic Motion
MEASURING g FROM OSCILLATIONS
The acceleration due to gravity can be determined experimentally from the measured period and length of a simple pendulum.
Definition
The acceleration due to gravity can be determined experimentally from the measured period and length of a simple pendulum.
Better Experimental Method
Pendulum period: T=2π√(Lg) Square: T²=4π²Lg Rearrange: g=4π²LT² Therefore, measuring `L` and `T` allows g to be calculated. Measure time `t` for `N` oscillations. Then: **T=tN** Repeating measurements and taking an average reduces random uncertainty.
Graph Method
From: **T²=(4π²/g)L a graph of `T²` against `L` is a straight line. Slope: slope = 4π²/g Therefore: g=4π²/slope**
Formula / Key Relation
**g=4π²LT² T=tN g=4π²/slope**
Exam preparation
Exam Focus
Quick revision
Revision Zone
Review the key facts, formulas and checks before you move on.MEASURING g FROM OSCILLATIONS
Sticky Notes · Quick Revision
Measure:
- L
- N
- t
- Calculate:
- `T=tN`
- Then:
- `g=4π²LT²`
60-second revision
- Pendulum timing provides an experimental measurement of g.
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