The physics of baseball A baseball of mass 0.15 kg is initially traveling horizo

Question

The physics of baseball A baseball of mass 0.15 kg is initially traveling horizontally at 50 m/s. It is struck by a bat, after which the baseball is still traveling horizontally but in exactly the opposite direction from its initial motion at a speed of 40 m/s. Consider the collision of the bat and the ball. Assume that before the collision, the bat is moving in a horizontal circle at an angular velocity of omega rad/s. Assume that the player holding the bat exerts no torque. The bat has a moment of inertia of 0.30 kg m^2 about the pivot and the ball hits at a point that is 80 cm away from the pivot. After the collision, the bat is still swinging in the same direction around the same pivot but with a reduced angular velocity of 0.35 omega. Find the numerical value of omega.

Explanation / Answer

By conservation of angular momentum

IiWi-mVid =IfWf+mVfd

0.3*W-0.15*50*0.8=0.3*(0.35W)+0.15*40*0.8

0.195W=10.8

W=55.6 rad/sec

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