Water flow

Classical Mechanics Level 1

A large volume of water is gushing through a pipe which narrows at the outlet. At which point, A, B, or C will the water flow the fastest?

B A C

1 solution

Zach Abueg
Jun 1, 2017

For dynamic ideal fluids, mass flow rate $\frac Vt = Av$ is constant, where $A$ is the cross sectional area of a container and $v$ is the flow velocity through a single point. Hence,

$\displaystyle v \propto \frac{1}{A}$

So, water is flowing the fastest through point C since it has the smallest cross sectional area.

Water flow

1 solution

0 pending reports