A wheel rotates with a constant angular acceleration of 3.45 rad/s2. Assume the angular speed of the wheel is 2.20 rad/s at ti = 0. (a) Through what angle does the wheel rotate between t = 0 and t = 2.00 s? Give your answer in radians and revolutions. 11.3rad 1.80rev (b) What is the angular speed of the wheel at t = 2.00 s? 9.1rad/s (c) What angular displacement (in revolutions) results while the angular speed found in part (b) doubles? 5.80rev   2. Use the values from PRACTICE IT to help you work this exercise. (a) Find the angle through which the wheel rotates between t = 2.00 s and t = 3.10 s.   (b) Find the angular speed when t = 3.10 s. rad/s (c) What is the magnitude of the angular speed five revolutions following t = 3.10 s?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 10P: A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a...
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1. PRACTICE IT
 A wheel rotates with a constant angular acceleration of 3.45 rad/s2. Assume the angular speed of the wheel is 2.20 rad/s at ti = 0.
(a) Through what angle does the wheel rotate between t = 0 and t = 2.00 s? Give your answer in radians and revolutions.
11.3rad
1.80rev

(b) What is the angular speed of the wheel at t = 2.00 s?
9.1rad/s

(c) What angular displacement (in revolutions) results while the angular speed found in part (b) doubles?
5.80rev
 
2. Use the values from PRACTICE IT to help you work this exercise.
(a) Find the angle through which the wheel rotates between t = 2.00 s and t = 3.10 s.
 
(b) Find the angular speed when t = 3.10 s.
rad/s

(c) What is the magnitude of the angular speed five revolutions following t = 3.10 s?


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