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?
Express your answer using two significant figures.m/s^2.

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

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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