Question

A large reservoir is drained through a pipe with an internal diameter of 15 cm.

If the opening of the pipe is 17 m below the surface of the water in the reservoir then at what speed is the water exiting the pipe?

(treat water as an incompressible non-viscous fluid)

Answer 1

As per the given question,

Internal diameter of the pipe $(d) =15cm$

Opening of the pipe is 17m below, let the velocity of the water at the below is v

Now, applying the bernaulli theorem,

$\rho gh+\dfrac{\rho v^2}{2}=constant$

$v=\sqrt{2gh}$

$v=\sqrt{2\times 9.8\times 17}=18.25m/sec$