Calculate Fluid Flow Rate Through a Pipeline

What is the formula to calculate the flow rate of a fluid through a pipeline?

The fluid flow rate through the pipeline is

12.5 litre/s

1.25 litre/s

0.125 m^3/s

1.25 m^3/s

Answer:

The formula to calculate the flow rate of a fluid through a pipeline is Q = Av, where Q represents the flow rate, A represents the cross-sectional area of the pipeline, and v represents the velocity of the fluid.

In this case, the velocity of the fluid is given as 4 m/s, and the diameter of the pipeline can be used to calculate its cross-sectional area. The formula to calculate the cross-sectional area of a pipe is A = πr^2, where r represents the radius of the pipe.

Since the diameter is given as 0.02 m, the radius can be calculated as half of the diameter, which is 0.01 m. Plugging this value into the formula, we get A = π(0.01)^2 = 0.000314 m^2.

Now, we can substitute the values into the flow rate equation: Q = (0.000314 m^2)(4 m/s) = 0.001256 m^3/s = 1.256 × 10^-3 m^3/s.

Therefore, the fluid flow rate through the pipeline is 0.125 m^3/s.