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What is the horsepower required for a fan to deliver 200ft/sec of air through a 2ft x 4ft duct under a total pressure of 4in water gage?

What is the horsepower required for a fan to deliver 200ft/sec of air through a 2ft x 4ft duct under a total pressure of 4in water gage?

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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What is the horsepower required for a fan to deliver 200ft/sec of air through a 2ft x 4ft duct under a total pressure of 4in water gage?

a. 175.83hp

b. 194.24hp

c. 146.17hp

d. 204.25hp

Given data : Velocity of flow (V) = 200 ft/s = 60.96 m/s Area of duct (A)= 2 x 4= 8 ft? = 8 x 0.3048 (1 ft = 0.3048 m) A= 0.743 m² Pressure head (h) = 4 in. = 0.1016 m Power(P) = p x gx Q x h Q = A x v = 0.743 x 60.96 = 45.29 m³ /s P = 1000 x 9.81 x 45.29 x 0.1016
Transcribed Image Text:Given data : Velocity of flow (V) = 200 ft/s = 60.96 m/s Area of duct (A)= 2 x 4= 8 ft? = 8 x 0.3048 (1 ft = 0.3048 m) A= 0.743 m² Pressure head (h) = 4 in. = 0.1016 m Power(P) = p x gx Q x h Q = A x v = 0.743 x 60.96 = 45.29 m³ /s P = 1000 x 9.81 x 45.29 x 0.1016
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