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At the instant shown, cable AB has a velocity of 3 m/s and acceleration of 1.5 m/s? while the gear rack C has a velocity of 1.3 m/s and acceleration of 0.65 m/s² (Figure 1) Part A Determine the angular acceleration of the gear at this instant. Express your answer to three significant figures and include the appropriate units. Figure 1 of 1 Value Units a = Submit Request Answer 0.3 m 0.2 m Provide Feedback

At the instant shown, cable AB has a velocity of 3 m/s and acceleration of 1.5 m/s? while the gear rack C has a velocity of 1.3 m/s and acceleration of 0.65 m/s² (Figure 1) Part A Determine the angular acceleration of the gear at this instant. Express your answer to three significant figures and include the appropriate units. Figure 1 of 1 Value Units a = Submit Request Answer 0.3 m 0.2 m Provide Feedback

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Problem Statement:** At the instant shown, cable \( AB \) has a velocity of \( 3 \, \text{m/s} \) and acceleration of \( 1.5 \, \text{m/s}^2 \), while the gear rack \( C \) has a velocity of \( 1.3 \, \text{m/s} \) and acceleration of \( 0.65 \, \text{m/s}^2 \) (Figure 1). **Part A:** Determine the angular acceleration of the gear at this instant. Express your answer to three significant figures and include the appropriate units. **Diagram Description:** - **Gear System:** - A circular gear is shown with a radius of \( 0.3 \, \text{m} \). - Attached to the gear is a cable \( AB \) which is horizontal with a section marked \( B \) having a distance of \( 0.2 \, \text{m} \) from the gear center \( O \). - **Gear Rack System:** - Below the gear, there is a horizontal gear rack labeled \( C \). - Velocity (\( v_C \)) and acceleration (\( a_C \)) vectors are shown along the rack in the horizontal direction. - **Notation:** - \( a_B \) and \( v_B \) denote the acceleration and velocity of point \( B \) on cable \( AB \). - \( a_C \) and \( v_C \) denote the acceleration and velocity of the gear rack \( C \). **Input Boxes for Solution:** - Boxes are provided to enter the calculated angular acceleration value (\( \alpha \)) and its units. **Instructions:** - Use the provided data and diagram to determine the angular acceleration. - Be sure to express your answer in proper units and to three significant figures before submitting your solution.
Transcribed Image Text:**Problem Statement:** At the instant shown, cable \( AB \) has a velocity of \( 3 \, \text{m/s} \) and acceleration of \( 1.5 \, \text{m/s}^2 \), while the gear rack \( C \) has a velocity of \( 1.3 \, \text{m/s} \) and acceleration of \( 0.65 \, \text{m/s}^2 \) (Figure 1). **Part A:** Determine the angular acceleration of the gear at this instant. Express your answer to three significant figures and include the appropriate units. **Diagram Description:** - **Gear System:** - A circular gear is shown with a radius of \( 0.3 \, \text{m} \). - Attached to the gear is a cable \( AB \) which is horizontal with a section marked \( B \) having a distance of \( 0.2 \, \text{m} \) from the gear center \( O \). - **Gear Rack System:** - Below the gear, there is a horizontal gear rack labeled \( C \). - Velocity (\( v_C \)) and acceleration (\( a_C \)) vectors are shown along the rack in the horizontal direction. - **Notation:** - \( a_B \) and \( v_B \) denote the acceleration and velocity of point \( B \) on cable \( AB \). - \( a_C \) and \( v_C \) denote the acceleration and velocity of the gear rack \( C \). **Input Boxes for Solution:** - Boxes are provided to enter the calculated angular acceleration value (\( \alpha \)) and its units. **Instructions:** - Use the provided data and diagram to determine the angular acceleration. - Be sure to express your answer in proper units and to three significant figures before submitting your solution.
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