To compute the volumetric flow rate of fluid passing through a tube with a cross-sectional area of 0.493 inches in diameter and having a flow velocity of 3.5 ft/sec, follow these steps:
Question
To compute the volumetric flow rate of fluid passing through a tube with a cross-sectional area of 0.493 inches in diameter and having a flow velocity of 3.5 ft/sec, follow these steps:
Solution
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Convert the diameter from inches to feet. There are 12 inches in a foot, so 0.493 inches is 0.493/12 = 0.04108 feet.
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Calculate the cross-sectional area of the tube using the formula for the area of a circle, which is πr². The radius is half the diameter, so r = 0.04108/2 = 0.02054 feet. The area is then π*(0.02054)² = 0.00133 square feet.
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The volumetric flow rate is the cross-sectional area times the flow velocity. So, the flow rate is 0.00133 square feet * 3.5 feet/second = 0.004655 cubic feet per second.
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