One method of pitching a softball is called the "windmill" delivery method, in which the pitcher's arm rotates through approximately 360° in a vertical plane before the 198-gram ball is released at the lowest point of the circular motion. An experienced pitcher can throw a ball with a speed of 91.0 mi/h. Assume that the angular acceleration is uniform throughout the pitching motion, and take the distance between the softball and the shoulder joint to be 70.0 cm. (a) Determine the angular speed of the arm in rev/s at the instant of release. rev/s (b) Find the magnitude of the value of the angular acceleration a in rev/s2 and the radial and tangential acceleration of the ball just before it is released. a == rev/s² m/s² m/s2 a = (c) Determine the magnitude of the force exerted on the ball by the pitcher's hand (both radial and tangential components) just before it is released. F₁ = N F.

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One method of pitching a softball is called the "windmill" delivery method, in which the pitcher's arm rotates through approximately 360° in a vertical plane before the 198-gram ball is released at the
lowest point of the circular motion. An experienced pitcher can throw a ball with a speed of 91.0 mi/h. Assume that the angular acceleration is uniform throughout the pitching motion, and take the
distance between the softball and the shoulder joint to be 70.0 cm.
(a) Determine the angular speed of the arm in rev/s at the instant of release.
rev/s
(b) Find the magnitude of the value of the angular acceleration a in rev/s² and the radial and tangential acceleration of the ball just before it is released.
α =
rev/s²
m/s²
m/s²
ar =
at
=
(c) Determine the magnitude of the force exerted on the ball by the pitcher's hand (both radial and tangential components) just before it is released.
Fr
Ft
=
1
N
N
Transcribed Image Text:One method of pitching a softball is called the "windmill" delivery method, in which the pitcher's arm rotates through approximately 360° in a vertical plane before the 198-gram ball is released at the lowest point of the circular motion. An experienced pitcher can throw a ball with a speed of 91.0 mi/h. Assume that the angular acceleration is uniform throughout the pitching motion, and take the distance between the softball and the shoulder joint to be 70.0 cm. (a) Determine the angular speed of the arm in rev/s at the instant of release. rev/s (b) Find the magnitude of the value of the angular acceleration a in rev/s² and the radial and tangential acceleration of the ball just before it is released. α = rev/s² m/s² m/s² ar = at = (c) Determine the magnitude of the force exerted on the ball by the pitcher's hand (both radial and tangential components) just before it is released. Fr Ft = 1 N N
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