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The following figure depicts a 1600 rpm motor, gear box, and 4000 rpm blower. The gear box weighs 40 lb with its center of gravity midway between the mounting bolts at "A" and "B". All shafts rotate counterclockwise as viewed from the blower. Assuming all losses are negligible, the motor output is 2 hp, the system is operating at constant angular velocity, and there are flexible couplings in the shafts between the motor/gear box and gear box/blower determine: a.) The gear ratio for the gear box (Gear Box). b.) The magnitude of the torque delivered by the motor to the gear box (T₁). c.) The magnitude of the torque delivered by the gear box to the blower shaft (Tg).

The following figure depicts a 1600 rpm motor, gear box, and 4000 rpm blower. The gear box weighs 40 lb with its center of gravity midway between the mounting bolts at "A" and "B". All shafts rotate counterclockwise as viewed from the blower. Assuming all losses are negligible, the motor output is 2 hp, the system is operating at constant angular velocity, and there are flexible couplings in the shafts between the motor/gear box and gear box/blower determine: a.) The gear ratio for the gear box (Gear Box). b.) The magnitude of the torque delivered by the motor to the gear box (T₁). c.) The magnitude of the torque delivered by the gear box to the blower shaft (Tg).

Elements Of Electromagnetics
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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The following figure depicts a 1600 rpm motor, gear box, and 4000 rpm blower. The gear box weighs 40 lb with its center of gravity midway between the mounting bolts at "A" and "B". All shafts rotate counterclockwise as viewed from the blower. Assuming all losses are negligible, the motor output is 2 hp, the system is operating at constant angular velocity, and there are flexible couplings in the shafts between the motor/gear box and gear box/blower determine: a.) The gear ratio for the gear box (Gear Box). b.) The magnitude of the torque delivered by the motor to the gear box (T₁). c.) The magnitude of the torque delivered by the gear box to the blower shaft (Tg). d.) Draw a free body diagram of the gearbox showing all the "Loads" (i.e. Forces, Torques, and Etcetera) acting on it. e.) The reaction forces acting on the gear box at points "A" and "B". Also, indicate whether these forces are acting "up" or "down". Motor 2 hp 1600 rpm A 10 in. Gear box B Direction. of rotation GEC Blower 4000 rpm Ans. a.) Mca = 0.4 c.) T₂ = 2.626 ft lb e.) R₂ = 24.73 lb (Upward) R₂ = 15.27 lb (Upward)
Transcribed Image Text:The following figure depicts a 1600 rpm motor, gear box, and 4000 rpm blower. The gear box weighs 40 lb with its center of gravity midway between the mounting bolts at "A" and "B". All shafts rotate counterclockwise as viewed from the blower. Assuming all losses are negligible, the motor output is 2 hp, the system is operating at constant angular velocity, and there are flexible couplings in the shafts between the motor/gear box and gear box/blower determine: a.) The gear ratio for the gear box (Gear Box). b.) The magnitude of the torque delivered by the motor to the gear box (T₁). c.) The magnitude of the torque delivered by the gear box to the blower shaft (Tg). d.) Draw a free body diagram of the gearbox showing all the "Loads" (i.e. Forces, Torques, and Etcetera) acting on it. e.) The reaction forces acting on the gear box at points "A" and "B". Also, indicate whether these forces are acting "up" or "down". Motor 2 hp 1600 rpm A 10 in. Gear box B Direction. of rotation GEC Blower 4000 rpm Ans. a.) Mca = 0.4 c.) T₂ = 2.626 ft lb e.) R₂ = 24.73 lb (Upward) R₂ = 15.27 lb (Upward)
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