The required information is in the attachment. Part A) A solid circular rod is used to transmit power from a motor to a machine. The diameter of the rod is D = 30 mm and the machine operates at ω = 170 rpm. If the allowable shear stress in the shaft is 80 MPa, what is the maximum power transmissible to the machine?Express your answer with appropriate units to three significant figures. Part B) A solid circular shaft is required to transmit P = 40 kW from a motor to a machine. The maximum allowable stress in the shaft is τallow = 79 MPa. If the machine runs at ω = 20 rad/s, what is the minimum diameter for the shaft?Express your answer in cm to three significant figures. Learning Goal:To determine the maximum possible powertransmission for a circular shaft and the minimumdiameter required to avoid exceeding shear stresslimits.A rotating shaft can be used to transmit mechanicalpower from one place to another. For example, ashaft can be connected to a motor at one end and apulley at the other. The shaft can then transmit powerfrom the motor to the pulley. When the machine isoperating, the shaft will rotate at some angularvelocity w and will be subject to a torque T. Thepower transmitted by the shaft is P=Tw.The shaft's rotation can also be expressed as afrequency, f, which represents the number ofrevolutions of the shaft per unit time. The frequencyand angular velocity are related by w=2nf, so thepower can also be calculated using P= 2nfT.When designing a shaft, one consideration is limits onTcshear stress. The torsion formula TallowJrelates the allowable shear stress in a circular shaftwith outer radius c to the torque T. The polar momentof inertia is J = -c for a solid shaft.2In the SI system, the units of torque are newton-meters (N - m), and the units of power are watts (1 W = 1N. m/s).%3D

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Answered: Part A) A solid circular rod is used to…

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 required information is in the attachment.

Part A) A solid circular rod is used to transmit power from a motor to a machine. The diameter of the rod is D = 30 mm and the machine operates at ω = 170 rpm. If the allowable shear stress in the shaft is 80 MPa, what is the maximum power transmissible to the machine?

Express your answer with appropriate units to three significant figures.

Part B) A solid circular shaft is required to transmit P = 40 kW from a motor to a machine. The maximum allowable stress in the shaft is τallow = 79 MPa. If the machine runs at ω = 20 rad/s, what is the minimum diameter for the shaft?

Express your answer in cm to three significant figures.

Learning Goal:
To determine the maximum possible power
transmission for a circular shaft and the minimum
diameter required to avoid exceeding shear stress
limits.
A rotating shaft can be used to transmit mechanical
power from one place to another. For example, a
shaft can be connected to a motor at one end and a
pulley at the other. The shaft can then transmit power
from the motor to the pulley. When the machine is
operating, the shaft will rotate at some angular
velocity w and will be subject to a torque T. The
power transmitted by the shaft is P=Tw.
The shaft's rotation can also be expressed as a
frequency, f, which represents the number of
revolutions of the shaft per unit time. The frequency
and angular velocity are related by w=2nf, so the
power can also be calculated using P= 2nfT.
When designing a shaft, one consideration is limits on
Tc
shear stress. The torsion formula Tallow
J
relates the allowable shear stress in a circular shaft
with outer radius c to the torque T. The polar moment
of inertia is J = -c for a solid shaft.
2
In the SI system, the units of torque are newton-
meters (N - m), and the units of power are watts (
1 W = 1N. m/s).
%3D

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