**Question 1:**A baseball pitcher brings his arm forward during a pitch, rotating the forearm about the elbow. If the velocity of the ball in the pitcher’s hand is 31 m/s and the pitcher’s forearm is 0.3 m long, what is the angular velocity of the forearm? Hint: Drawing a small cartoon could be helpful.\[ \omega = \sqrt{\text{rad/s}} \]**Explanation:**In this problem, students are asked to calculate the angular velocity of the forearm. The velocity of the ball (linear velocity) is given as 31 m/s, and the length of the forearm, which acts as the radius, is 0.3 m. Students must use the relationship between linear velocity (\( v \)) and angular velocity (\( \omega \)), which is given by the formula:\[ v = \omega \times r \]Where \( v \) is the linear velocity, \( \omega \) is the angular velocity, and \( r \) is the radius (in this case, the length of the forearm).To solve for \( \omega \):\[ \omega = \frac{v}{r} = \frac{31 \, \text{m/s}}{0.3 \, \text{m}} \]Substitute the values and solve to find \( \omega \). Students are advised to visualize the scenario by drawing a diagram to better understand the motion involved.

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1. A baseball pitcher brings his arm forward during a pitch, rotating the forearm about the elbow. If the velocity of the ball in the pitcher's hand is 31 m/s and the pitcher's forearm is 0.3 m long, what is the angular velocity of the forearm? Hint: Drawing a small cartoon could be helpful. rad/s @=

1. A baseball pitcher brings his arm forward during a pitch, rotating the forearm about the elbow. If the velocity of the ball in the pitcher's hand is 31 m/s and the pitcher's forearm is 0.3 m long, what is the angular velocity of the forearm? Hint: Drawing a small cartoon could be helpful. rad/s @=

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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