What is the velocity of flow in a 65mm diameter pipe that delivers 3 litres of water persecond?
Question
What is the velocity of flow in a 65mm diameter pipe that delivers 3 litres of water persecond?
Solution
Sure, to find the velocity of flow in the pipe, we can use the formula for the flow rate which is Q = A * v, where Q is the flow rate, A is the cross-sectional area of the pipe, and v is the velocity of the flow.
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First, we need to convert the diameter of the pipe from millimeters to meters, so 65mm = 0.065m.
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Next, we calculate the cross-sectional area of the pipe using the formula for the area of a circle, which is A = π * (d/2)^2. Substituting the diameter of the pipe, we get A = π * (0.065/2)^2 = 0.0033 m^2.
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The flow rate is given as 3 litres per second, but we need to convert this to cubic meters per second. Since 1 litre = 0.001 cubic meters, the flow rate is 3 * 0.001 = 0.003 m^3/s.
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Now we can find the velocity by rearranging the flow rate formula to v = Q / A. Substituting the values we have, we get v = 0.003 / 0.0033 = 0.91 m/s.
So, the velocity of the flow in the pipe is approximately 0.91 meters per second.
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