A baseball pitching machine works by rotating a light and stiff rigid rod about

Question

A baseball pitching machine works by rotating a light and stiff rigid rod about a horizontal axis until the ball is moving toward the target. Suppose a 144 { m g} baseball is held 87 { m cm} from the axis of rotation and released at the major league pitching speed of 87 { m mph}.

What is the ball's centripetal acceleration just before it is released?m/s^2.
Express your answer using two significant figures.

What is the magnitude of the net force that is acting on the ball just before it is released?N.
Express your answer using two significant figures.

Explanation / Answer

Given that The mass of the ball, m = 144 g = 0.144 kg The radius of the axis, r = 87 cm = 0.87 m The speed of ball, v = 87 mph = 38.9 m/s The centripetal acceleration is given by the formula            a = v^2/r = 1739.3 m/s^2 = 17 * 10^2 m/s^2 The magnitude of the force, F = mv^2/r = 250.5 N = 25 * 10^1 N The magnitude of the force, F = mv^2/r = 250.5 N = 25 * 10^1 N

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