Examine the diagram of a gear set. What is the Diametral Pitch of these gears? What is the Gear Ratio? What will be the output torque of the Driven Gear?

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 diagram of a gear set.

  1. What is the Diametral Pitch of these gears?
  2. What is the Gear Ratio?
  3. What will be the output torque of the Driven Gear?
  4. What will be the output speed of the Driven Gear?
  5.  
This diagram illustrates a gear system consisting of a driver gear and a driven gear. 

**Driver Gear:**
- The driver gear has a pitch diameter of 4.0 inches.
- It operates at a speed of 1800 revolutions per minute (rpm).
- The torque applied is 30 inch-pounds (in-lbs).
- The rotation is indicated by a clockwise arrow.

**Driven Gear:**
- The driven gear has a pitch diameter of 12.0 inches.
- The rotation is indicated by a counter-clockwise arrow.

**Gear Relationship:**
- The driver gear, being smaller, rotates at a higher speed and transmits power to the larger driven gear, which will rotate at a reduced speed due to the gear ratio determined by the pitch diameters.
- The size difference between the gears indicates a reduction in speed but an increase in torque for the driven gear compared to the driver gear.
Transcribed Image Text:This diagram illustrates a gear system consisting of a driver gear and a driven gear. **Driver Gear:** - The driver gear has a pitch diameter of 4.0 inches. - It operates at a speed of 1800 revolutions per minute (rpm). - The torque applied is 30 inch-pounds (in-lbs). - The rotation is indicated by a clockwise arrow. **Driven Gear:** - The driven gear has a pitch diameter of 12.0 inches. - The rotation is indicated by a counter-clockwise arrow. **Gear Relationship:** - The driver gear, being smaller, rotates at a higher speed and transmits power to the larger driven gear, which will rotate at a reduced speed due to the gear ratio determined by the pitch diameters. - The size difference between the gears indicates a reduction in speed but an increase in torque for the driven gear compared to the driver gear.
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