An electric motor delivers 2 hp @ 1725 rpm to the input shaft of a reduction gear drive having a gear ratio of n = 3.87. The output shaft of the reduction gear drive rotates the shaft of a pump. If there sa 8% power loss through the reduction gear drive system, what torque (in ft lb) is being applied o the pump shaft and what is the rotational rate (in rpm) of the pump shaft?
An electric motor delivers 2 hp @ 1725 rpm to the input shaft of a reduction gear drive having a gear ratio of n = 3.87. The output shaft of the reduction gear drive rotates the shaft of a pump. If there sa 8% power loss through the reduction gear drive system, what torque (in ft lb) is being applied o the pump shaft and what is the rotational rate (in rpm) of the pump shaft?
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:For the roller chain and sprocket system shown in the following figure, show that the "gear ratio"
can be written in terms of the ratio of the radii of the sprockets and ultimately, in terms
n =
WIN
Wout
WIN
@Out
(Where:
of a ratio of the number of teeth on the respective sprockets η =
Tin = The radius of the sprocket on the input shaft, rout = The radius of the sprocket on the output shaft,
Nin = The number of teeth on the input sprocket, and Nout = The number of teeth on the output sprocket.
Sprocket 1
(Input)
Radius rin
# Teeth Nin
=
rout Nout
rin
NIN
=
Sprocket 2
(Output)
Radius rout
# Teeth Nout
Transcribed Image Text:An electric motor delivers 2 hp @ 1725 rpm to the input shaft of a reduction gear drive having a gear
ratio of ŋ = 3.87 . The output shaft of the reduction gear drive rotates the shaft of a pump. If there
is a 8% power loss through the reduction gear drive system, what torque (in ft lb) is being applied
to the pump shaft and what is the rotational rate (in rpm) of the pump shaft?
Ans. 21.68 ft lb
445.7 rpm
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