A DC motor delivers mechanical power to a rotating stainless steel shaft (k = 15.1 W/m·K) with a length of 25 cm and a diameter of 25 mm. In a surrounding with ambient air temperature of 20°C and convection heat transfer coefficient of 25 W/m2·K, the surface area of the motor housing that is exposed to the ambient air is 0.075 m2. The motor uses 300 W of electrical power and delivers 55% of it as mechanical power to rotate the stainless steel shaft. If the tip of the stainless steel shaft has a temperature of 22°C, determine the surface temperature of the motor housing. Assume the base temperature of the shaft is equal to the surface temperature of the motor housing.
A DC motor delivers mechanical power to a rotating stainless steel shaft (k = 15.1 W/m·K) with a length of 25 cm and a diameter of 25 mm. In a surrounding with ambient air temperature of 20°C and convection heat transfer coefficient of 25 W/m2·K, the surface area of the motor housing that is exposed to the ambient air is 0.075 m2. The motor uses 300 W of electrical power and delivers 55% of it as mechanical power to rotate the stainless steel shaft. If the tip of the stainless steel shaft has a temperature of 22°C, determine the surface temperature of the motor housing. Assume the base temperature of the shaft is equal to the surface temperature of the motor housing.
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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Question
A DC motor delivers
stainless steel shaft (k = 15.1 W/m·K) with a length of 25 cm
and a diameter of 25 mm. In a surrounding with ambient air
temperature of 20°C and convection heat transfer coefficient of
25 W/m2·K, the surface area of the motor housing that is
exposed to the ambient air is 0.075 m2. The motor uses 300 W
of electrical power and delivers 55% of it as mechanical power
to rotate the stainless steel shaft. If the tip of the stainless steel
shaft has a temperature of 22°C, determine the surface temperature
of the motor housing. Assume the base temperature of the
shaft is equal to the surface temperature of the motor housing.
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