Figure P1.48 shows an object whose mass is 5 lbm attached to a rope wound around a pulley. The radius of the pulley is 3 in. If the mass is lowered at a constant velocity of 5 ft/s, determine the power transmitted to the pulley, in horsepower, and the rotational speed of the pulley, in revolutions per minute (rpm). The acceleration of gravity is g = 32.2 ft/s².

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Sprocket 1 in the previous figure has a radius of 1.5 in and is connected to an electric motor delivering
1.75 hp at 1725 rpm. Sprocket 2 has a radius of 5 in and is connected to the input shaft of a
reduction gearbox having a gear ratio of ŋ = 2.73. The output shaft of the gearbox drives a conveyor.
If there is a 9% power loss for entire roller chain and reduction gearbox drive system, what torque
(in hp) is applied to the conveyor input shaft and what is the rotational rate on the conveyor input
shaft (in rpm)?
Ans. 44.12 ftlb and 189.6 rpm
Transcribed Image Text:Sprocket 1 in the previous figure has a radius of 1.5 in and is connected to an electric motor delivering 1.75 hp at 1725 rpm. Sprocket 2 has a radius of 5 in and is connected to the input shaft of a reduction gearbox having a gear ratio of ŋ = 2.73. The output shaft of the gearbox drives a conveyor. If there is a 9% power loss for entire roller chain and reduction gearbox drive system, what torque (in hp) is applied to the conveyor input shaft and what is the rotational rate on the conveyor input shaft (in rpm)? Ans. 44.12 ftlb and 189.6 rpm
Figure P1.48 shows an object whose mass is 5 lbm attached to a rope wound around a pulley. The
radius of the pulley is 3 in. If the mass is lowered at a constant velocity of 5 ft/s, determine the
power transmitted to the pulley, in horsepower, and the rotational speed of the pulley, in revolutions
per minute (rpm). The acceleration of gravity is g = 32.2 ft/s².
R= 3 in.
Pulley
1638
m= 5 lb
V = 5 ft/s
FIGURE P1.48
Ans. 0.04545 hp
191 rpm
Transcribed Image Text:Figure P1.48 shows an object whose mass is 5 lbm attached to a rope wound around a pulley. The radius of the pulley is 3 in. If the mass is lowered at a constant velocity of 5 ft/s, determine the power transmitted to the pulley, in horsepower, and the rotational speed of the pulley, in revolutions per minute (rpm). The acceleration of gravity is g = 32.2 ft/s². R= 3 in. Pulley 1638 m= 5 lb V = 5 ft/s FIGURE P1.48 Ans. 0.04545 hp 191 rpm
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