A circular duct carrying water gradually contracts from a diameter of 30 cm to 15 cm. The figure (not drawn to scale) shows the arrangement of differential manometer attached to the duct. When the water flows, the differential manometer shows a deflection of 8 cm of mercury (Hg). The value of the specific gravity of mercury and water are 13.6 and 1.0, respectively. Consider the acceleration due to gravity. g = 9.81 m/s2. Assuming frictionless flow, the flow rate (in m³/s, rounded off to 3 decimal places) through the duct is 30cm 18cm Mercury 15cm

Structural Analysis
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Chapter2: Loads On Structures
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A circular duct carrying water gradually contracts from a diameter of 30 cm to 15 cm. The figure (not drawn to scale) shows the arrangement of
differential manometer attached to the duct. When the water flows, the differential manometer shows a deflection of 8 cm of mercury (Hg). The
value of the specific gravity of mercury and water are 13.6 and 1.0, respectively. Consider the acceleration due to gravity. g = 9.81 m/s². Assuming
frictionless flow, the flow rate (in m³/s, rounded off to 3 decimal places) through the duct is
T
30cm
18cm
Mercury
0 4 14 50
25
15cm
Transcribed Image Text:A circular duct carrying water gradually contracts from a diameter of 30 cm to 15 cm. The figure (not drawn to scale) shows the arrangement of differential manometer attached to the duct. When the water flows, the differential manometer shows a deflection of 8 cm of mercury (Hg). The value of the specific gravity of mercury and water are 13.6 and 1.0, respectively. Consider the acceleration due to gravity. g = 9.81 m/s². Assuming frictionless flow, the flow rate (in m³/s, rounded off to 3 decimal places) through the duct is T 30cm 18cm Mercury 0 4 14 50 25 15cm
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