Consider the duct system shown in the following figure. 5" x 10" 30 ft/s 16" x 12" 30 ft/s 5" x 10" Air flows through two 5 in. × 10 in. ducts that merge into a 16 in. x 12 in. duct. The average speed of the air in each of the 5" × 10" ducts is 30 ft/s.
Consider the duct system shown in the following figure. 5" x 10" 30 ft/s 16" x 12" 30 ft/s 5" x 10" Air flows through two 5 in. × 10 in. ducts that merge into a 16 in. x 12 in. duct. The average speed of the air in each of the 5" × 10" ducts is 30 ft/s.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Consider the duct system shown in the following figure.
Three ducts meet at a Y-shaped junction as viewed from above. Two smaller ducts, each of width 5" and depth 10" into the page, start at the top-left and bottom-left corners of the diagram, respectively, and meet in the middle. These ducts combine to form a third, larger duct of vertical width 16" and depth 12" into the page, and this larger duct extends to the right. Air flows down and to the right through the top-left duct, and up and to the right through the bottom-left duct, with speed 30 ft/s. Air flows to the right through the large duct on the right with an unknown speed.
Air flows through two 5 in. ✕ 10 in. ducts that merge into a 16 in. ✕ 12 in. duct. The average speed of the air in each of the 5" ✕ 10" ducts is 30 ft/s.
(a) What is the cross-sectional area of flow of the 5" ✕ 10" duct (in ft2)?
(b) What is the volume flow rate of air in each of the 5" ✕ 10" ducts (in ft3/s)?
(c) What is the volume flow rate of air in the 16" ✕ 12" duct in ft3/s?
(d) What is the volume flow rate of air in the 16" ✕ 12" duct in ft3/min?
(e) What is the volume flow rate of air in the 16" ✕ 12" duct in m3/s?
(f) What is the cross-sectional area (in ft2) of flow of the 16" ✕ 12" duct?
(g) What is the average speed (in ft/s) of air in the 16" ✕ 12" duct?
Transcribed Image Text:Consider the duct system shown in the following figure.
5" x 10"
30 ft/s
16" x 12"
30 ft/s
5" x 10"
Air flows through two 5 in. x 10 in. ducts that merge into a 16 in. x 12 in. duct. The average speed of the air in each of the 5" x 10" ducts is 30 ft/s.
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