In lacrosse, a ball is thrown from a net on the end of stick by rotating the stick and forearm about the elbow. If the angular velocity of the ball about the elbow joint is 26.5 rad / s and the ball is 1.35 m from the elbow joint, what is the velocity of the ball?
To find the velocity of the ball, we can use the formula:
Velocity = Angular Velocity x Radius
In this case, the angular velocity is given as 26.5 rad/s and the radius (distance between the ball and elbow joint) is given as 1.35 m. By substituting these values into the equation, we can calculate the velocity of the ball:
Velocity = 26.5 rad/s x 1.35 m
Velocity = 35.775 m/s
Therefore, the velocity of the ball is approximately 35.775 m/s.