8.01SC | Fall 2016 | Undergraduate

Classical Mechanics

Week 3: Circular Motion

9.1 Uniform Circular Motion

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Uniform Circular Motion: \(\frac{d\theta}{dt}=constant\)

The tangential component of the acceleration is zero.

The magnitude of the radial acceleration can be written as \(|a_r|=\frac{v^2}{r}=r \omega^2=r(2 \pi f)^2=\frac{4 \pi^2 r}{T^2}\).

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