# Swinging a Rock in a Circle#

Stewie watches as a rock tied to a string is swung clockwise in a vertical circle of radius $$r$$. The string breaks when $$\theta$$ = 0. Stewie observes that the rock reaches a maximum height $$h$$ relative to the height of the centre of the circle. What is the angular speed $$\omega$$ of the circular motion at the instant just before the string breaks?

For

Use

$$g$$

g

$$h$$

h

$$r$$

r

## Part 1#

Find an expression for $$\omega$$ in terms of $$h$$, $$r$$, and the gravitational acceleration $$g$$.