Descriptions Weight of crate Number of teeth at motor shaft gear Number of teeth at drum shaft gear Inertia of motor shaft Inertia of drum shaft Specifications 200 kg 20 200 1.5 kgm2 125 kgm2 Using the coefficient of friction, u 0.3 between crate and floor: Calculate the required torque by the motor to accelerate the crate at 1.5 m/s. (i) (ii) Calculate the motor power P. when motor rotation is 1800 rpm. (iii) What will happen to the motor if the rope is broken.

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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A single stage helical gearbox as shown in Figure Q1 is pulling a crate with an
acceleration of 1.5 m/s?. The rope is attached to a 1.2 m diameter drum. Since the
gearbox was not properly maintained and running with less lubricant, the gear box
efficiency, n has dropped to 70 percent. Table below show details arrangement:
Specifications
200 kg
Descriptions
Weight of crate
Number of teeth at motor shaft gear
Number of teeth at drum shaft gear
20
200
a= 1.5 m/s
1.5 kgm?
125 kgm?
Inertia of motor shaft
Inertia of drum shaft
Using the coefficient of friction, u = 0.3 between crate and floor;
(i)
Calculate the required torque by the motor to accelerate the crate at 1.5 m/s2.
(ii)
Calculate the motor power P, when motor rotation is 1800 rpm.
(iii)
What will happen to the motor if the rope is broken.
Drum
Gearbox
Motor
Transcribed Image Text:A single stage helical gearbox as shown in Figure Q1 is pulling a crate with an acceleration of 1.5 m/s?. The rope is attached to a 1.2 m diameter drum. Since the gearbox was not properly maintained and running with less lubricant, the gear box efficiency, n has dropped to 70 percent. Table below show details arrangement: Specifications 200 kg Descriptions Weight of crate Number of teeth at motor shaft gear Number of teeth at drum shaft gear 20 200 a= 1.5 m/s 1.5 kgm? 125 kgm? Inertia of motor shaft Inertia of drum shaft Using the coefficient of friction, u = 0.3 between crate and floor; (i) Calculate the required torque by the motor to accelerate the crate at 1.5 m/s2. (ii) Calculate the motor power P, when motor rotation is 1800 rpm. (iii) What will happen to the motor if the rope is broken. Drum Gearbox Motor
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