Question

Josh starts throwing his pitch; we assume that his arm moves in a perfect circular arc, and his arm is 0.7 m long. If he needs to release the ball with a tangential velocity of 35m/s what centripetal acceleration is required to achieve this?

Answer 1

As we know that centripetal acceleration is given as

$a_c = \frac{v^2}{R}$

here we know that

linear speed = 35 m/s

here radius of path is same as length of arm

R = 0.7 m

now from above above formula we have

$a_c = \frac{35^2}{0.7}$

$a_c = 1750 m/s^2$

so acceleration is 1750 m/s/s