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To find the flow rate (gpm) of water in a 0.493 pipe moving at 3.5 ft/sec

Question

To find the flow rate (gpm) of water in a 0.493 pipe moving at 3.5 ft/sec

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Solution

To find the flow rate (gpm) of water in a 0.493 pipe moving at 3.5 ft/sec, you can use the formula for flow rate (Q) which is Q = A * v, where A is the cross-sectional area of the pipe and v is the velocity of the water.

Step 1: Calculate the cross-sectional area of the pipe. The formula for the area of a circle is A = πr². The radius of the pipe is half its diameter, so r = 0.493 / 2 = 0.2465 ft. Therefore, A = π * (0.2465 ft)² = 0.1905 square feet.

Step 2: Multiply the cross-sectional area by the velocity of the water to find the flow rate in cubic feet per second. Q = A * v = 0.1905 ft² * 3.5 ft/sec = 0.667 cubic feet per second.

Step 3: Convert the flow rate from cubic feet per second to gallons per minute. There are 7.48 gallons in a cubic foot and 60 seconds in a minute, so Q = 0.667 ft³/sec * 7.48 gal/ft³ * 60 sec/min = 299.6 gallons per minute (gpm).

So, the flow rate of water in a 0.493 ft diameter pipe moving at 3.5 ft/sec is approximately 299.6 gpm.

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Similar Questions

To calculate the flow rate in gallons per minute (gpm) of water traveling at 8 ft/sec in a 10-inch pipe, you can use the following formula: Flow rate (gpm) = (velocity (ft/sec) x area (ft^2)) x 448.831 First, calculate the cross-sectional area of a 10-inch pipe in square feet: Radius of the pipe (r) = 10 inches / 2 = 5 inches = 5/12 feet Area (A) = π x r^2 = π x (5/12)^2 = π x 25/144 square feet Next, calculate the flow rate: Flow rate (gpm) = (8 ft/sec x A) x 448.831 Substitute the values into the formula and calculate the flow rate: Flow rate (gpm) = (8 x π x 25/144) x 448.831 Flow rate (gpm) ≈ 235.6 gpm Therefore, the flow rate of water traveling at 8 ft/sec in a 10-inch pipe is approximately 235.6 gallons per minute.

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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:

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