The figure shown below represents a V-Belt drive system. Pulley #1 in the figure has a radius of 3 in and is being rotated by an electric motor delivering 5 hp at 1725 rpm. Pulley #2 has a radius of 14 in and is connected to the input shaft of a reduction gearbox having a gear ratio of n = 2.75. The output shaft of the gearbox drives a grain auger. If there is a 16% power loss for the entire V-Belt and reduction gearbox drive system, what torque (expressed in units of lb ft) is applied to the auger shaft and what is the rotational rate of the auger shaft (in units of rpm)? Pulley #1 (Drive Pulley) Pulley #2 (Driven Pulley)

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter3: Torsion
Section: Chapter Questions
Problem 3.7.12P
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The figure shown below represents a V-Belt drive system. Pulley #1 in the figure has a radius of 3 in and
is being rotated by an electric motor delivering 5 hp at 1725 rpm. Pulley #2 has a radius of 14 in and is
connected to the input shaft of a reduction gearbox having a gear ratio of ŋ = 2.75. The output shaft of
the gearbox drives a grain auger. If there is a 16% power loss for the entire V-Belt and reduction gearbox
drive system, what torque (expressed in units of lb ft) is applied to the auger shaft and what is the
rotational rate of the auger shaft (in units of rpm)?
Pulley #1
(Drive Pulley)
Dointel
Pulley #2
(Driven Pulley)
Ans. 164.1 lb ft and 134.4 rpm
Transcribed Image Text:The figure shown below represents a V-Belt drive system. Pulley #1 in the figure has a radius of 3 in and is being rotated by an electric motor delivering 5 hp at 1725 rpm. Pulley #2 has a radius of 14 in and is connected to the input shaft of a reduction gearbox having a gear ratio of ŋ = 2.75. The output shaft of the gearbox drives a grain auger. If there is a 16% power loss for the entire V-Belt and reduction gearbox drive system, what torque (expressed in units of lb ft) is applied to the auger shaft and what is the rotational rate of the auger shaft (in units of rpm)? Pulley #1 (Drive Pulley) Dointel Pulley #2 (Driven Pulley) Ans. 164.1 lb ft and 134.4 rpm
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