Q: Determine the angle of twist of end B with respect to end A. Given: The splined ends and gears attached to the A992 steel shaft are subjected to the torques shown where T=210 N⋅mT=210 N⋅m. The shaft has a diameter of 45 mm. Note: Attached in the picture is a list of wrong answers (including one from Bartleby) and im at wits end :)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Q: Determine the angle of twist of end B with respect to end A.

Given: The splined ends and gears attached to the A992 steel shaft are subjected to the torques shown where T=210 N⋅mT=210 N⋅m. The shaft has a diameter of 45 mm.

Note: Attached in the picture is a list of wrong answers (including one from Bartleby) and im at wits end :)

**Educational Content:**

**Problem Statement:**
The splined ends and gears attached to an A992 steel shaft are subjected to the torques as shown in the diagram. The torque applied is \( T = 210 \, \text{N}\cdot\text{m} \). The shaft has a diameter of 45 mm.

**Task:**
Determine the angle of twist of end \( B \) with respect to end \( A \).

**Instructions:**
Express your answer to three significant figures and include appropriate units.

**Diagram Explanation:**
The diagram shows a steel shaft with two gear systems. It illustrates the distribution of torques:
- 1200 N·m on one side.
- 400 N·m on the opposite side.
- The distances between torque applications are given: 400 mm and 600 mm respectively.

**Solution Attempt Summary:**
Students attempted to calculate the angle \( \phi_{B/A} \):

- **Attempt 1:** \( 1.522^\circ \)
- **Attempt 2:** \( 0.008 \, \text{rad} \)
- **Attempt 3:** \( 0.774^\circ \)
- **Attempt 4:** \( 1.341^\circ \)
- **Attempt 5:** \( 1.093^\circ \) 

**Feedback:**
The latest submission of \( \phi_{B/A} = 1.093 \) was incorrect. Students have one attempt remaining.

Please provide feedback for improving accuracy.
Transcribed Image Text:**Educational Content:** **Problem Statement:** The splined ends and gears attached to an A992 steel shaft are subjected to the torques as shown in the diagram. The torque applied is \( T = 210 \, \text{N}\cdot\text{m} \). The shaft has a diameter of 45 mm. **Task:** Determine the angle of twist of end \( B \) with respect to end \( A \). **Instructions:** Express your answer to three significant figures and include appropriate units. **Diagram Explanation:** The diagram shows a steel shaft with two gear systems. It illustrates the distribution of torques: - 1200 N·m on one side. - 400 N·m on the opposite side. - The distances between torque applications are given: 400 mm and 600 mm respectively. **Solution Attempt Summary:** Students attempted to calculate the angle \( \phi_{B/A} \): - **Attempt 1:** \( 1.522^\circ \) - **Attempt 2:** \( 0.008 \, \text{rad} \) - **Attempt 3:** \( 0.774^\circ \) - **Attempt 4:** \( 1.341^\circ \) - **Attempt 5:** \( 1.093^\circ \) **Feedback:** The latest submission of \( \phi_{B/A} = 1.093 \) was incorrect. Students have one attempt remaining. Please provide feedback for improving accuracy.
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