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In the diagram above, RA = 0.339 m, while RB = 0.776 m. A and B are intermeshing gears (I just didn't draw the teeth) that do not slip relative to each other. Gear A starts with an angular velocity of 4.267 rad/s. Gear A has an angular acceleration of 1.190 rad/s2. What is the angular velocity of gear B at time t = 7.033 s?

In the diagram above, RA = 0.339 m, while RB = 0.776 m. A and B are intermeshing gears (I just didn't draw the teeth) that do not slip relative to each other. Gear A starts with an angular velocity of 4.267 rad/s. Gear A has an angular acceleration of 1.190 rad/s2. What is the angular velocity of gear B at time t = 7.033 s?

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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The diagram presents two intermeshing gears, labeled A and B. Gear A has a radius \( R_A = 0.339 \, \text{m} \), and Gear B has a radius \( R_B = 0.776 \, \text{m} \). These gears are designed to not slip relative to each other. - Gear A begins with an initial angular velocity of \( 4.267 \, \text{rad/s} \). - It also experiences an angular acceleration of \( 1.190 \, \text{rad/s}^2 \). The problem asks: What is the angular velocity of Gear B at time \( t = 7.033 \, \text{s} \)? Calculation involves understanding the relationship between the angular velocities and radii of both gears, given that they are intermeshed. The result should be expressed in radians per second (\(\text{rad/s}\)), without considering the direction of rotation. **Diagram Details:** - **Gear A** (left side): Shown with an arrow indicating rotation direction, with corresponding labels for radius \( R_A \), initial angular velocity \( \omega_{A0} \), and angular acceleration \( \alpha_A \). - **Gear B** (right side): Larger in size, illustrating the gear relationship via implied contact points, labeled with radius \( R_B \).
Transcribed Image Text:The diagram presents two intermeshing gears, labeled A and B. Gear A has a radius \( R_A = 0.339 \, \text{m} \), and Gear B has a radius \( R_B = 0.776 \, \text{m} \). These gears are designed to not slip relative to each other. - Gear A begins with an initial angular velocity of \( 4.267 \, \text{rad/s} \). - It also experiences an angular acceleration of \( 1.190 \, \text{rad/s}^2 \). The problem asks: What is the angular velocity of Gear B at time \( t = 7.033 \, \text{s} \)? Calculation involves understanding the relationship between the angular velocities and radii of both gears, given that they are intermeshed. The result should be expressed in radians per second (\(\text{rad/s}\)), without considering the direction of rotation. **Diagram Details:** - **Gear A** (left side): Shown with an arrow indicating rotation direction, with corresponding labels for radius \( R_A \), initial angular velocity \( \omega_{A0} \), and angular acceleration \( \alpha_A \). - **Gear B** (right side): Larger in size, illustrating the gear relationship via implied contact points, labeled with radius \( R_B \).
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