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Fluid flows at 2.0 m/s through a pipe of diameter 3.0 cm. What is the volume flow rate of the fluid?

User Hommy
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1 Answer

4 votes

Answer:

The volume flow rate of the pipe is 1.41 x 10⁻³ m³/s

Step-by-step explanation:

Given;

velocity of the fluid, v = 2.0 m/s

diameter of the pipe, d = 3.0 cm = 0.03 m

The volume flow rate is given by;

Q = Av

Where;

A is the area of the pipe

v is the velocity of the fluid

circular surface Area of the pipe is given by;

A = ¹/₄ πd²

A = ¹/₄ π(0.03)² = 7.07 x 10⁻⁴ m²

Q = (7.07 x 10⁻⁴)(2)

Q = 1.41 x 10⁻³ m³/s

Therefore, the volume flow rate of the pipe is 1.41 x 10⁻³ m³/s

User Btel
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