Answered: Grocery checkout conveyor N, =72 teeth…

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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A set of gears is used to reduce the speed from an electric motor to a shaft driving a grocery checkout conveyor, depicted below. The gear on the motor shaft is a 10-pitch pinion, has 18 teeth, and drives at 1200 rpm clockwise. The driven gear has 72 teeth. The motor has failed and is to be replaced with the only motor available, a 600 rpm motor with an 8-pitch pinion.

Specify the set of commercially available 20⁰ spur gears, by number of teeth (N₃and N₄), that would result in the same conveyor speed and can be used without modification to the mounting (the center distance must not change).

Find the number of teeth N₃ on the pinion (drive) gear (teeth):

Find the number of teeth N₄ on the driven gear (teeth):

Grocery checkout conveyor
N2=72 teeth
Electric motor
@ = 1200 rpm
N = 18 teeth
%3D

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