Examine the gear drive shown.  The small driving gear has 15 teeth, DP = 8, RPM = 1200, Torque = 4 ft-lbs.  The large gear has 54 teeth and DP = 8. What is the Gear Ratio for this system?  What is the Speed Ratio for this system?  What is the Center to Center spacing of the gears?

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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Examine the gear drive shown.  The small driving gear has 15 teeth, DP = 8, RPM = 1200, Torque = 4 ft-lbs.  The large gear has 54 teeth and DP = 8.

    1. What is the Gear Ratio for this system? 
    2. What is the Speed Ratio for this system? 
    3. What is the Center to Center spacing of the gears?
    4. What is the RPM of the larger gear?
    5. What is the Torque supplied by the larger gear?
The image is a blueprint of two interlocking gears of different sizes. Here’s a detailed explanation:

### Large Gear:
- **Specifications:**
  - Number of Teeth (N): 54
  - Pitch Diameter (D): 6.75
  - Pitch (P): 8
  - Pressure Angle (PA): 20

### Small Gear:
- **Specifications:**
  - Number of Teeth (N): 15
  - Pitch Diameter (D): 1.875
  - Pitch (P): 8
  - Pressure Angle (PA): 20

### General Explanation:
- **Interlocking Gear System:**
  - The two gears are shown as meshed, indicating how they interact to transmit motion and force. The larger gear will rotate more slowly but with greater torque compared to the smaller gear.

- **Blueprint Style:**
  - The diagram is presented on a grid, typical of engineering blueprints, allowing for precise measurement and scaling.

This type of diagram is essential in mechanical engineering to design systems where rotational force needs to be transmitted from one part to another, such as in clocks, vehicles, and machinery.
Transcribed Image Text:The image is a blueprint of two interlocking gears of different sizes. Here’s a detailed explanation: ### Large Gear: - **Specifications:** - Number of Teeth (N): 54 - Pitch Diameter (D): 6.75 - Pitch (P): 8 - Pressure Angle (PA): 20 ### Small Gear: - **Specifications:** - Number of Teeth (N): 15 - Pitch Diameter (D): 1.875 - Pitch (P): 8 - Pressure Angle (PA): 20 ### General Explanation: - **Interlocking Gear System:** - The two gears are shown as meshed, indicating how they interact to transmit motion and force. The larger gear will rotate more slowly but with greater torque compared to the smaller gear. - **Blueprint Style:** - The diagram is presented on a grid, typical of engineering blueprints, allowing for precise measurement and scaling. This type of diagram is essential in mechanical engineering to design systems where rotational force needs to be transmitted from one part to another, such as in clocks, vehicles, and machinery.
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