A compound epicyclic gear is shown diagrammatically in the Figure 1. The gears A, D and E are free to rotate on the axis P. The compound gear B and C rotate together on the axis Q at the end of arm F. All the gears have equal pitch. The number of external teeth on the gears A, B and C are 18, 45 and 21 respectively. The gears D and E are annular gears. The gear A rotates at 100 r.p.m. in the anticlockwise direction and the gear D rotates at 450 r.p.m. clockwise. Find the speed and direction of the arm and the gear E.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A compound epicyclic gear is shown diagrammatically in the Figure 1. The gears
A, D and E are free to rotate on the axis P. The compound gear B and C rotate
together on the axis Q at the end of arm F. All the gears have equal pitch. The
number of external teeth on the gears A, B and C are 18, 45 and 21 respectively.
The gears D and E are annular gears. The gear A rotates at 100 r.p.m. in the
anticlockwise direction and the gear D rotates at 450 r.p.m. clockwise. Find the
speed and direction of the arm and the gear E.
D
C
A
A
P
F
B
E
Q
Figure 1: Compound epicyclic
Transcribed Image Text:Example A compound epicyclic gear is shown diagrammatically in the Figure 1. The gears A, D and E are free to rotate on the axis P. The compound gear B and C rotate together on the axis Q at the end of arm F. All the gears have equal pitch. The number of external teeth on the gears A, B and C are 18, 45 and 21 respectively. The gears D and E are annular gears. The gear A rotates at 100 r.p.m. in the anticlockwise direction and the gear D rotates at 450 r.p.m. clockwise. Find the speed and direction of the arm and the gear E. D C A A P F B E Q Figure 1: Compound epicyclic
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