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A gear moving at 2 rad/s accelerates at 1.4 rad/s? to a speed of 12 rad/s. Find the angle the gear moves through. 1.4 rad/s2 1. 0 = 2 rad/s 2. wo = 12 rad/s 3. w = not used 4. x = 5. t= to be found

A gear moving at 2 rad/s accelerates at 1.4 rad/s? to a speed of 12 rad/s. Find the angle the gear moves through. 1.4 rad/s2 1. 0 = 2 rad/s 2. wo = 12 rad/s 3. w = not used 4. x = 5. t= to be found

College Physics
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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**Title:** Understanding Rotational Motion Variables **Introduction:** In this exercise, you will learn how to match various numerical values with their corresponding rotational motion variables. Understanding the correct units and variables is crucial when solving problems in physics. **Problem Statement:** A gear moving at an initial angular velocity of \(2 \, \text{rad/s}\) accelerates at \(1.4 \, \text{rad/s}^2\) to a final angular velocity of \(12 \, \text{rad/s}\). Your task is to find the angle \(\theta\) through which the gear moves. **Variables to Match:** 1. **\( \theta \):** - Represents the angle in radians. - To be found in this exercise. 2. **\( \omega_o \):** - Represents the initial angular velocity. - Value: \(2 \, \text{rad/s}\). 3. **\( \omega \):** - Represents the final angular velocity. - Value: \(12 \, \text{rad/s}\). 4. **\( \alpha \):** - Represents the angular acceleration. - Value: \(1.4 \, \text{rad/s}^2\). 5. **\( t \):** - Represents time. - Not used in this exercise. **Instructions:** Match each value with the appropriate variable name using the list above. Familiarize yourself with these basic physics concepts to improve your problem-solving skills in rotational dynamics.
Transcribed Image Text:**Title:** Understanding Rotational Motion Variables **Introduction:** In this exercise, you will learn how to match various numerical values with their corresponding rotational motion variables. Understanding the correct units and variables is crucial when solving problems in physics. **Problem Statement:** A gear moving at an initial angular velocity of \(2 \, \text{rad/s}\) accelerates at \(1.4 \, \text{rad/s}^2\) to a final angular velocity of \(12 \, \text{rad/s}\). Your task is to find the angle \(\theta\) through which the gear moves. **Variables to Match:** 1. **\( \theta \):** - Represents the angle in radians. - To be found in this exercise. 2. **\( \omega_o \):** - Represents the initial angular velocity. - Value: \(2 \, \text{rad/s}\). 3. **\( \omega \):** - Represents the final angular velocity. - Value: \(12 \, \text{rad/s}\). 4. **\( \alpha \):** - Represents the angular acceleration. - Value: \(1.4 \, \text{rad/s}^2\). 5. **\( t \):** - Represents time. - Not used in this exercise. **Instructions:** Match each value with the appropriate variable name using the list above. Familiarize yourself with these basic physics concepts to improve your problem-solving skills in rotational dynamics.
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