Fluid flows at 2.0 m/s through a pipe of diameter 3.0 cm.What is the volume flow rate of the fluid? A)1.4 × 10^-3 m³/s B)5.7 × 10^-3 m³/s C)14 m³/s D)57 m³/s

Question

Quizplus · Accepted Answer

The volume flow rate (Q) of a fluid is given by Q = A × v, where A is the cross-sectional area of the pipe and v is the velocity of the fluid.

The diameter of the pipe is given as 3.0 cm, which means the radius (r) is 1.5 cm (or 0.015 m). The cross-sectional area of the pipe can be calculated as:

A = πr^2 = π × (0.015 m)^2 = 7.07 × 10^-7 m^2

The velocity of the fluid is given as 2.0 m/s. Using these values, we can calculate the volume flow rate as:

Q = A × v = 7.07 × 10^-7 m^2 × 2.0 m/s = 1.4 × 10^-3 m^3/s

Therefore, the best choice is (A) 1.4 × 10^-3 m^3/s.

Fluid Flows at 2