Question

in lacrosse, a ball is thrown from a net on the end of a stick by rotating the stick and forearm about the elbow. if the angular velocity of the ball about the elbow joint is 25.0 rad/s and the ball is 1.15 m from the elbow joint, what is the velocity of the ball?
m/s
resources
reading

Explanation:

Step1: Recall the formula for linear velocity

The formula relating linear velocity \(v\), angular velocity \(\omega\), and radius \(r\) is \(v = r\omega\).

Step2: Substitute the given values

Given \(\omega=25.0\space rad/s\) and \(r = 1.15\space m\).
Substitute into the formula: \(v=(1.15\space m)\times(25.0\space rad/s)\)

$$v = 1.15\times25$$

$$v=28.75$$

Answer:

\(28.75\)