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 \(|a_r|=\frac{v^2}{r}=r \omega^2=r(2 \pi f)^2=\frac{4 \pi^2 r}{T^2}\).

Home » Courses » Physics » Classical Mechanics » Week 3: Circular Motion » Lesson 9: Uniform Circular Motion

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 \(|a_r|=\frac{v^2}{r}=r \omega^2=r(2 \pi f)^2=\frac{4 \pi^2 r}{T^2}\).