An epicyclic gear train, as shown in Fig. 1, has a sun wheel S of 30 teeth and two planet wheels P-P of 50 teeth. The planet wheels mesh with the internal teeth of a fixed annulus A. The driving shaft carrying the sun-wheel S, transmits 4 kW at 300 r.p.m. The driven shaft is connected to an arm which carries the planet wheels. 1.1 Tabulate a table of motion for the given epicyclic gear train. 1.2 Determine the number of teeth in gear A, assume module is the same on all the gears. 1.3 Determine the speed of the arm or the driven shaft. 1.4 Determine the torque of the sun. 1.5 Determine the torque of the arm if the overall efficiency is 95 %.
An epicyclic gear train, as shown in Fig. 1, has a sun wheel S of 30 teeth and two planet wheels P-P of 50 teeth. The planet wheels mesh with the internal teeth of a fixed annulus A. The driving shaft carrying the sun-wheel S, transmits 4 kW at 300 r.p.m. The driven shaft is connected to an arm which carries the planet wheels. 1.1 Tabulate a table of motion for the given epicyclic gear train. 1.2 Determine the number of teeth in gear A, assume module is the same on all the gears. 1.3 Determine the speed of the arm or the driven shaft. 1.4 Determine the torque of the sun. 1.5 Determine the torque of the arm if the overall efficiency is 95 %.
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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Transcribed Image Text:Question 1
An epicyclic gear train, as shown in Fig. 1, has a sun wheel S of 30 teeth and
two planet wheels P-P of 50 teeth. The planet wheels mesh with the internal
teeth of a fixed annulus A. The driving shaft carrying the sun-wheel S, transmits
4 kW at 300 r.p.m. The driven shaft is connected to an arm which carries the
planet wheels.
1.1 Tabulate a table of motion for the given epicyclic gear train.
1.2 Determine the number of teeth in gear A, assume module is the same on all
the gears.
1.3 Determine the speed of the arm or the driven shaft.
1.4 Determine the torque of the sun.
1.5 Determine the torque of the arm if the overall efficiency is 95 %.
Arm
S
A
a.
1
Figure 1: An epicyclic gear train
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