Tigger gets frustrated with golf and decides to throw the ball instead. During t

Question

Tigger gets frustrated with golf and decides to throw the ball instead. During the delivery phase of the fastball pitch, the arm internally rotates at the shoulder. The angular velocity of the internal rotation peaks at 5200 deg/s (hint what is it in radians?). At this point, the elbow angle is 90, so the angular velocity of the forearm is also 5200 degrees/s. The baseball in the pitcher's hand is 33 cm from the axis of rotation through the shoulder joint. At this instant, the linear velocity of the baseball is 37 m/s. How much of the baseball velocity is coming just from the forearm? (FYI: rest of the velocity comes from the rotation of the trunk, and the chest muscles) Answer in m/s

Explanation / Answer

angular velocity of the forearm = 5200 degrees/s

                                                   =   90.757 rad/sec

=>   linear velocity =   0.33 * 90.757

                               =    29.94 m/sec

=>   the baseball velocity is coming just from the forearm = 37 - 29.94

                                                                                              = 7.06 m/sec

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