Chapter 6, Problem 29CT

Hungarian Adrian Annus won the gold medal for the hummer throw at the $2004$ Olympics in Athens with a winning distance of $83.19$ meters*.The event consists of swinging a $16$-pound weight attached to a wire $190$ centimetres long in a circle and then releasing it. Assuming his release is at a ${45}^{\circ }$ angle to the ground, the hammer will travel a distance of $\frac{v_0{}^2}{g}$ metres, where $g=9.8$ metres/second ${}^2$ and $v_0$ is the linear speed of the hammer when released. At what rate (rpm) was he swinging the hammer upon release?

*Annus was stripped of his medal refusing to cooperate with postmedal drug testing.