Angular acceleration of a softball

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The discussion focuses on the "windmill" pitching method in softball, where the pitcher rotates their arm 360° before releasing the ball. An experienced pitcher can achieve a speed of 89.0 mph, which converts to approximately 39.783 m/s. The angular speed is calculated to be 8.4310 revolutions per second, but it needs to be converted to radians per second for further calculations. To find the angular acceleration, the equations of angular motion kinematics should be applied, similar to linear kinematics. Understanding these concepts is essential for analyzing the pitching mechanics effectively.
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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 89.0 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 75.1 cm.

I found 89mph= 39.783m/s and the angular speed to be 8.4310rev/s. How do I find the angular acceleration from this?
 
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physics1234 said:
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 89.0 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 75.1 cm.

I found 89mph= 39.783m/s and the angular speed to be 8.4310rev/s. How do I find the angular acceleration from this?
You will want the angular speed to be in radians per second. You need to use the equations of angular motion kinematics. These are directly analogous to the more familiar equations of linear kinematics

http://online.cctt.org/physicslab/content/PhyAPC/lessonnotes/rotationalmotion/kinematics.asp
 
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