Answered: The upper half of a compound Epicyclic…

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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The upper half of a compound Epicyclic gearset is shown in Figure, with input shaft I rotating at a constant speed of 700 rpm in a clockwise direction and generating 12 kW input power. The Annulus wheel A2 is coupled to an auxiliary gear N on shaft X and forms a compound wheel with gear O. The Annulus A1 rotates in a counter-clockwise direction at a speed of 5,300 rpm. Calculate the following using this condition:

Number of gear teeth:
P₁ = 30 , A₁ = 120
P₂= 50 , A₂ = 140
N = 60 , O = 120

a) The output shaft O (N_O), shaft X (N_X), and gear ratio speed and direction (n).

b) Calculate the speed and direction of output shaft O (N_O), shaft X (N_X), and gear ratio if Annulus wheel A1 is locked (n).

c) The braking torque (T_b) that must be applied to Annulus wheel A1 to keep it stationary (magnitude and direction), assuming gear transmission efficiency of 90%.

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