The compound gear train of a three stages reduction gear is use to transmit power from a power source to a drum with 1 meter in diameter, as shown in Figure P4. The power source generates 500 Nm torque at the speed of 500 rpm and can produce acceleration of 10 rad/s. Assume there is no friction in the drum, mass of the cable is negligible and the cable is in-eastic. With this condition, determine the folbwing. i. Anguar vebcity and acceleration of the drum. Power required to overcome the friction torque in the bearing. Power required to accelerate the inertia of the gear system. Load M that the drum can Ift. ii. iv.

The compound gear train of a three stages reduction gear is use to transmit power from a power source to a drum with 1 meter in diameter, as shown in Figure P4. The power source generates 500 Nm torque at the speed of 500 rpm and can produce acceleration of 10 rad/s. Assume there is no friction in the drum, mass of the cable is negligible and the cable is in-eastic. With this condition, determine the folbwing. i. Anguar vebcity and acceleration of the drum. Power required to overcome the friction torque in the bearing. Power required to accelerate the inertia of the gear system. Load M that the drum can Ift. ii. iv.

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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Concept explainers

Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. There are various mechanisms by which, transfer of heat takes place i.e. thermal conduction, convection, radiation or by change of phase. All these mechanisms have their own specific features which sometimes occur simultaneously within the same system.

Question

Problem 4
The compound gear train of a three stages reduction gear is use to transmit power
from a power source to a drum with 1 meter in diameter, as shown in Figure P4. The
power source generates 500 Nm torque at the speed of 500 rpm and can produce
acceleration of 10 rad/s?. Assume there is no friction in the drum, mass of the cable is
negligible and the cable is in-elastic. With this condition, determine the folbwing.
i.
ii.
iii.
Angular vebcity and acceleration of the drum.
Power required to overcome the friction torque in the bearing.
Power required to accelerate the inertia of the gear system.
Load M that the drum can lft.
N.
[1.05 rad/s; 0.2 rad/s ; 1.13 kW ; 2.12 kW ; 3,221.7 kg]
Drum2
(2)
Drum 1
Power
A
source
凶凶
(1)
Load, M
(4)
Figure P4
Given:-
Number of gear teeth, t:-
t;=40 ; t2=100 ; t;=40 ; t4=160 ts=40 ; t6=200
Equivalent mass moment of inertia, Ieq:-
Ipower source=2 kgm ; Igear 23=10 kgm2 ; Igear 45=20 kgm2 ; Igear 6 & drum=40 kgm?
Friction torque in bearing, F:-
FA=5 Nm ; Fg=Fc=10 Nm ; FD=Fe%=20 Nm ; FF=FG=50 Nm.
Efficiency of al gear mesh, n:-
N12=N34=N56=90%
B区区
C図図
山区区
F区図

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