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.

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.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

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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