2-2 The sun gear-2 and -5 are integral with the input shaft of the compound epicyclic gear llustrated, and the annular gear-4 (internal gear-4) is fixed. The planet gear-3 rotates freely on an axle carried by the annular gear-7 (internal gear), and the planet gear-6 on an axle mounted on the output shaft's arm-a. All gears have the same module, m = 2.5 mm. Given the tooth humbers indicated, a) Determine the missing number of teeth of gears 4 and 7.
2-2 The sun gear-2 and -5 are integral with the input shaft of the compound epicyclic gear llustrated, and the annular gear-4 (internal gear-4) is fixed. The planet gear-3 rotates freely on an axle carried by the annular gear-7 (internal gear), and the planet gear-6 on an axle mounted on the output shaft's arm-a. All gears have the same module, m = 2.5 mm. Given the tooth humbers indicated, a) Determine the missing number of teeth of gears 4 and 7.
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:The sun gear-2 and -5 are integral with the input shaft of the compound epicyclic gear
Q-2
illustrated, and the annular gear-4 (internal gear-4) is fixed. The planet gear-3 rotates freely on
an axle carried by the annular gear-7 (internal gear), and the planet gear-6 on an axle mounted
on the output shaft's arm-a. All gears have the same module, m = 2.5 mm. Given the tooth
numbers indicated,
a) Determine the missing number of teeth of gears 4 and 7.
b) Determine the angular speeds of gear-7, and the output shaft-a when the input shaft
rotates at 1400 rev/min (c.w.).
(You are to use the gear train values and relative speed ratios indicated by Rj or Rji.)
Hint: Write one equation for each arm;
N2 = 30-T
e.g., one of these may be
N3 = 20-T
%3D
N4 =
nj-narm
Rij
or
16
ni-narm
N5 = 32-T
%3D
(-1 )
ni-narm
1
N6 = 16-T
Rji
nj-narm
Rij
%3D
N.
Input (2) WS Output
7 =
Where i = 2, and j = 4 (in both!)
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