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 40.0 rad/s and the ball is 1.50 m from the elbow joint, what is the velocity of the ball

60m/s

Explanation:

In this problem problem, it's expected of us to determine the linear velocity of the ball.

Given data

Angular velocity ω=40.0 rad/s

Radius r=1.5m

Velocity v=?

But we know that the expression relating angular velocity and linear velocity is given as

v=ωr

Now Substituting into the expression and solving for v we have

v=40*1.5

v=60m/s

Therefore the velocity of the ball is 60m/s