Design a compound gear train with a +120:1 ratio and diametral pitch of 5 teeth/inch. Assume ø= 20° and avoiding interference between pinion and gear; i.e., use Table 9-5a page 495. Draw a front-view using circle template or compass and a top-view using a ruler.

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**TABLE 9-5a Maximum Number of Gear Teeth**

*To Avoid Interference Between a 20° Full-Depth Pinion and Full-Depth Gears of Various Sizes*

| Number of Pinion Teeth | Maximum Gear Teeth |
|------------------------|--------------------|
| 17                     | 1309               |
| 16                     | 101                |
| 15                     | 45                 |
| 14                     | 26                 |
| 13                     | 16                 |

The table shows the maximum number of gear teeth compatible with pinions of varying sizes, designed to avoid interference with a 20° full-depth pinion. Each row corresponds to the number of teeth on the pinion and the corresponding maximum number of teeth on the gear that can be used without interference.
Transcribed Image Text:**TABLE 9-5a Maximum Number of Gear Teeth** *To Avoid Interference Between a 20° Full-Depth Pinion and Full-Depth Gears of Various Sizes* | Number of Pinion Teeth | Maximum Gear Teeth | |------------------------|--------------------| | 17 | 1309 | | 16 | 101 | | 15 | 45 | | 14 | 26 | | 13 | 16 | The table shows the maximum number of gear teeth compatible with pinions of varying sizes, designed to avoid interference with a 20° full-depth pinion. Each row corresponds to the number of teeth on the pinion and the corresponding maximum number of teeth on the gear that can be used without interference.
**Design a Compound Gear Train**

In this exercise, you'll design a compound gear train with a +120:1 ratio and a diametral pitch of 5 teeth per inch. The design assumes a pressure angle (\( \phi \)) of 20° and ensures there is no interference between the pinion and the gear, according to Table 9-5a, page 495. You are instructed to draw a front view using a circle template or compass and a top view using a ruler.

**Given Answer:**

- **Gears 2 and 3:**
  - \( N_2 = 15T \) (Teeth)
  - \( N_3 = 30T \) (Teeth)
  - \( d_2 = 3" \) (Diameter)
  - \( d_3 = 6" \) (Diameter)

- **Gears 4 and 5:**
  - \( N_4 = 15T \) (Teeth)
  - \( N_5 = 45T \) (Teeth)
  - \( d_4 = 3" \) (Diameter)
  - \( d_5 = 9" \) (Diameter)

- **Gears 6 and 7:**
  - \( N_6 = 16T \) (Teeth)
  - \( N_7 = 64T \) (Teeth)
  - \( d_6 = 3.2" \) (Diameter)
  - \( d_7 = 12.8" \) (Diameter)

- **Gears 8 and 9:**
  - \( N_8 = 16T \) (Teeth)
  - \( N_9 = 80T \) (Teeth)
  - \( d_8 = 3.2" \) (Diameter)
  - \( d_9 = 16" \) (Diameter)

This solution specifies the teeth numbers (\( N \)) and diameters (\( d \)) for each gear in the train, ensuring proper function and the desired gear ratio. To complete the design, utilize drawing tools to visualize the gear arrangement accurately.
Transcribed Image Text:**Design a Compound Gear Train** In this exercise, you'll design a compound gear train with a +120:1 ratio and a diametral pitch of 5 teeth per inch. The design assumes a pressure angle (\( \phi \)) of 20° and ensures there is no interference between the pinion and the gear, according to Table 9-5a, page 495. You are instructed to draw a front view using a circle template or compass and a top view using a ruler. **Given Answer:** - **Gears 2 and 3:** - \( N_2 = 15T \) (Teeth) - \( N_3 = 30T \) (Teeth) - \( d_2 = 3" \) (Diameter) - \( d_3 = 6" \) (Diameter) - **Gears 4 and 5:** - \( N_4 = 15T \) (Teeth) - \( N_5 = 45T \) (Teeth) - \( d_4 = 3" \) (Diameter) - \( d_5 = 9" \) (Diameter) - **Gears 6 and 7:** - \( N_6 = 16T \) (Teeth) - \( N_7 = 64T \) (Teeth) - \( d_6 = 3.2" \) (Diameter) - \( d_7 = 12.8" \) (Diameter) - **Gears 8 and 9:** - \( N_8 = 16T \) (Teeth) - \( N_9 = 80T \) (Teeth) - \( d_8 = 3.2" \) (Diameter) - \( d_9 = 16" \) (Diameter) This solution specifies the teeth numbers (\( N \)) and diameters (\( d \)) for each gear in the train, ensuring proper function and the desired gear ratio. To complete the design, utilize drawing tools to visualize the gear arrangement accurately.
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