Consider the duct system shown in the accompanying figure. The air flows from the 8"x12" duct into a 4"x6" duct steadily. The average speed of the air in the 4"x6" duct is 30 ft/s. What is the volume flow rate of air in the 8"x12" duct? Express the volume flow rate in ft3/s, ft3/min, and m3/s. What is the average speed of air in the 8"x12" duct? 4" x 6" V2 8" x 12" V1 Cross-sectional Area of 4"x6" = 24 in? %3D Cross-sectional Area of 8"x12" = 96 in? %3D V2 = 30 ft/s Recall: Q (Flow rate) = (ave. speed) (cross-sectional area)

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Consider the duct system shown in the accompanying figure. The air flows from the 8"x12" duct into a 4"x6" duct steadily. The average speed of the air in the 4"x6"
duct is 30 ft/s. What is the volume flow rate of air in the 8"x12" duct? Express the volume flow rate in ft3/s, ft3/min, and m3/s. What is the average speed of air in the
8"x12" duct?
4" x 6"
V2
8" x 12"
V1
Cross-sectional Area of 4"x6" = 24 in?
%3D
Cross-sectional Area of 8"x12" = 96 in?
%3D
V2 = 30 ft/s
Recall:
Q (Flow rate) = (ave. speed) (cross-sectional area)
Transcribed Image Text:Consider the duct system shown in the accompanying figure. The air flows from the 8"x12" duct into a 4"x6" duct steadily. The average speed of the air in the 4"x6" duct is 30 ft/s. What is the volume flow rate of air in the 8"x12" duct? Express the volume flow rate in ft3/s, ft3/min, and m3/s. What is the average speed of air in the 8"x12" duct? 4" x 6" V2 8" x 12" V1 Cross-sectional Area of 4"x6" = 24 in? %3D Cross-sectional Area of 8"x12" = 96 in? %3D V2 = 30 ft/s Recall: Q (Flow rate) = (ave. speed) (cross-sectional area)
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