An engineering student considers using a fan as a levitation demonstration. She plans to face the box-enclosed fan so the air blast is directed face down through a 3-ft-diameter blade span area. The system weighs 5 lbf, and the student will secure the system from rotating. By increasing the power to the fan, she plans to increase the blade rpm and air exit velocity until the exhaust provides sufficient upward force to cause the box fan to hover in the air. Determine (a) the air exit velocity to produce 5 lbf, (b) the volumetric flow rate needed, and (c) the minimum mechanical power that must be supplied to the airstream. Take the air density to be 0.078 lbm/ft3.
An engineering student considers using a fan as a levitation demonstration. She plans to face the box-enclosed fan so the air blast is directed face down through a 3-ft-diameter blade span area. The system weighs 5 lbf, and the student will secure the system from rotating. By increasing the power to the fan, she plans to increase the blade rpm and air exit velocity until the exhaust provides sufficient upward force to cause the box fan to hover in the air. Determine (a) the air exit velocity to produce 5 lbf, (b) the volumetric flow rate needed, and (c) the minimum mechanical power that must be supplied to the airstream. Take the air density to be 0.078 lbm/ft3.
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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An engineering student considers using a fan as a
levitation demonstration. She plans to face the box-enclosed fan
so the air blast is directed face down through a 3-ft-diameter
blade span area. The system weighs 5 lbf, and the student will
secure the system from rotating. By increasing the power to the
fan, she plans to increase the blade rpm and air exit velocity
until the exhaust provides sufficient upward force to cause the
box fan to hover in the air. Determine (a) the air exit velocity
to produce 5 lbf, (b) the volumetric flow rate needed, and (c)
the minimum
airstream. Take the air density to be 0.078 lbm/ft3.
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