A natural gas pipeline with a diameter 0.250 m delivers 1.55 cubic meters of gas per second. What is the flow speed of the gas in the pipeline?

The flow speed of the gas in the pipeline is 31.57 m/s.

Explanation:

Given;

diameter of the pipeline, d = 0.25 m

radius of the pipeline, r = d/2 = 0.125 m

volumetric flow rate of the gas, Q = 1.55 m³/s

The cross sectional area of the pipeline is given as;

A = πr²

A = π(0.125²)

A = 0.0491 m²

Volumetric flow rate is given by;

Q = Av

Where;

v is the speed of the fluid in the pipeline

v = Q / A

Therefore, the flow speed of the gas in the pipeline is 31.57 m/s.

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