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A pair of spur gears with 20° tooth form transmits 1.0-hp. The pinion is mounted on the shaft of an electric motor operating at 3600-rpm. The pinion has 24-teeth and a diametral pitch of 24. The gear has 96-teeth. Determine the speed of the gear. A

A pair of spur gears with 20° tooth form transmits 1.0-hp. The pinion is mounted on the shaft of an electric motor operating at 3600-rpm. The pinion has 24-teeth and a diametral pitch of 24. The gear has 96-teeth. Determine the speed of the gear. A

Elements Of Electromagnetics
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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### Gear Speed Calculation **Problem Statement:** A pair of spur gears with a 20-degree tooth form transmits 1.0 hp. The pinion is mounted on the shaft of an electric motor operating at 3600 rpm. The pinion has 24 teeth and a diametral pitch of 24. The gear has 96 teeth. **Question:** Determine the speed of the gear. **Given Data:** - Pinion Teeth: 24 - Pinion Diametral Pitch: 24 - Gear Teeth: 96 - Pinion Rotational Speed: 3600 rpm **Calculation:** To determine the speed of the gear, we can use the gear ratio. The gear ratio (GR) is defined as the ratio of the number of teeth on the gear (N_Gear) to the number of teeth on the pinion (N_Pinion): \[ \text{GR} = \frac{N_{\text{Gear}}}{N_{\text{Pinion}}} = \frac{96}{24} = 4 \] The speed of the gear (
Transcribed Image Text:### Gear Speed Calculation **Problem Statement:** A pair of spur gears with a 20-degree tooth form transmits 1.0 hp. The pinion is mounted on the shaft of an electric motor operating at 3600 rpm. The pinion has 24 teeth and a diametral pitch of 24. The gear has 96 teeth. **Question:** Determine the speed of the gear. **Given Data:** - Pinion Teeth: 24 - Pinion Diametral Pitch: 24 - Gear Teeth: 96 - Pinion Rotational Speed: 3600 rpm **Calculation:** To determine the speed of the gear, we can use the gear ratio. The gear ratio (GR) is defined as the ratio of the number of teeth on the gear (N_Gear) to the number of teeth on the pinion (N_Pinion): \[ \text{GR} = \frac{N_{\text{Gear}}}{N_{\text{Pinion}}} = \frac{96}{24} = 4 \] The speed of the gear (
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