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In fast-pitch softball, the pitcher uses a circular "windmill" motion to pitch a softball at a speed of about 70 mph ( v = 32 m/s). This pitcher has...
In fast-pitch softball, the pitcher uses a circular "windmill" motion to pitch a softball at a speed of about 70 mph (v = 32 m/s). This pitcher has an arm length of L = 80 cm.
a) What is the angular velocity of her arm when the ball is released?
b) The pitching motion involves a total of about 500° of rotation (almost 1.5 full rotations) and lasts 0.44 seconds. Assuming that the arm's angular acceleration is constant, what is its magnitude? (calculate using one of the angular kinematic equations.)
c) The pitcher releases the ball when her arm is pointing straight down (towards the ground). If the pitcher's hand has a mass of 300 g, and the ball has a mass of 180 g, what is the force exerted by the wrist on the hand just before the ball is released? *** (Draw a free-body diagram; take the hand and ball together as one object. Note that there are two forces on this object. What is its acceleration? You may neglect the instantaneous angular acceleration for this part of the problem.) This force is a measure of the tension in the pitcher's wrist tendons.
