please help ### Gear Ratio Calculation**Problem Statement:**A pair of spur gears with a 20° tooth form transmits 1.0 horsepower (hp). The pinion is mounted on the shaft of an electric motor operating at 3600 revolutions per minute (rpm). The pinion has 24 teeth and a diametral pitch of 24. The gear has 96 teeth.**Task:**Determine the gear ratio for this gear pair.**Solution:**To determine the gear ratio, you use the following formula:\[ \text{Gear Ratio} = \frac{\text{Number of teeth on the gear}}{\text{Number of teeth on the pinion}} \]Given:- Number of teeth on the pinion (N1) = 24- Number of teeth on the gear (N2) = 96\[ \text{Gear Ratio} = \frac{N2}{N1} = \frac{96}{24} = 4 \]Therefore, the gear ratio for this gear pair is 4:1.

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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 gear ratio for this gear pair.

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 gear ratio for this gear pair.

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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Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

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please help

### Gear Ratio Calculation

**Problem Statement:**
A pair of spur gears with a 20° tooth form transmits 1.0 horsepower (hp). The pinion is mounted on the shaft of an electric motor operating at 3600 revolutions per minute (rpm). The pinion has 24 teeth and a diametral pitch of 24. The gear has 96 teeth.

**Task:**
Determine the gear ratio for this gear pair.

**Solution:**

To determine the gear ratio, you use the following formula:

\[ \text{Gear Ratio} = \frac{\text{Number of teeth on the gear}}{\text{Number of teeth on the pinion}} \]

Given:
- Number of teeth on the pinion (N1) = 24
- Number of teeth on the gear (N2) = 96

\[ \text{Gear Ratio} = \frac{N2}{N1} = \frac{96}{24} = 4 \]

Therefore, the gear ratio for this gear pair is 4:1.

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