**Project Description:**For your final design project, you use a keyway to hold your gear on the shaft. The radius of the shaft (r) is 3/16 inch and the torque transmitted is 1.78 lbf in. If your key is 0.0625 inches long (L, distance into page in left image), what must the width (w) be so that the acrylic key with yield strength of 5000 psi does not yield under the conditions above?**Diagram Explanation:**1. **Left Diagram: Gears and Torque** - A circular gear is shown with a center point labeled as "O". - Torque is applied at the top of the gear, indicated by an arrow pointing counterclockwise. - The gear is mounted on a shaft.2. **Right Diagram: Keyway and Shear Plane** - A rectangular representation of the key is shown. - The dimensions of the keyway are labeled: - "L" represents the length of the key (distance into the page). - "w" represents the width of the key. - "h" represents the height or thickness of the key. - The shear plane is indicated by an arrow across the top of the key, showing the direction of the force "V".

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For your final design project, you use a keyway to hold your gear on the shaft. The radius of the shaft (r) is 3/16 inch and the torque transmitted is 1.78 lbf in. If your key is 0.0625 inches long (L, distance into page in left image), what must the width (w) be so that the acrylic key with yield strength of 5000 psi does not yield under the conditions above? Shear plane Torque Shear plane Center point O

For your final design project, you use a keyway to hold your gear on the shaft. The radius of the shaft (r) is 3/16 inch and the torque transmitted is 1.78 lbf in. If your key is 0.0625 inches long (L, distance into page in left image), what must the width (w) be so that the acrylic key with yield strength of 5000 psi does not yield under the conditions above? Shear plane Torque Shear plane Center point O

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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Question

**Project Description:**

For your final design project, you use a keyway to hold your gear on the shaft. The radius of the shaft (r) is 3/16 inch and the torque transmitted is 1.78 lbf in. If your key is 0.0625 inches long (L, distance into page in left image), what must the width (w) be so that the acrylic key with yield strength of 5000 psi does not yield under the conditions above?

**Diagram Explanation:**

1. **Left Diagram: Gears and Torque**
- A circular gear is shown with a center point labeled as "O".
- Torque is applied at the top of the gear, indicated by an arrow pointing counterclockwise.
- The gear is mounted on a shaft.

2. **Right Diagram: Keyway and Shear Plane**
- A rectangular representation of the key is shown.
- The dimensions of the keyway are labeled:
- "L" represents the length of the key (distance into the page).
- "w" represents the width of the key.
- "h" represents the height or thickness of the key.
- The shear plane is indicated by an arrow across the top of the key, showing the direction of the force "V".

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