Question

In a pipe that has a cross-sectional area of 0.5 m^2 and a flow rate of 1.5 m^3/s, what is the average speed of the fluid carried by the pipe? *

Answer 1

Solution:-

So Q = A$\overline v$

Flow rate is the volume of fluid per unit time flowing past a point through the area A. Here the shaded cylinder of fluid flows past point P in a uniform pipe in time t. The volume of the cylinder is Ad and the average velocity is $\bar v = \frac{d}{t}$

So that the flow rate is

$\boxed{Q={Ad\over t }=A\bar v}$

Q(flow rate)= $1.5m^3/s$

A(cross-sectional area) = 0.5 m²

average speed=

$\boxed{\bar v= \frac{Q}{A}}$

$\boxed{\bar v= \frac{1.5}{0.5}m/s}$

Answer:-

$\boxed{\bar v = 3 m/s}$