Answer to Question #347157 in Mechanics | Relativity for Jane

Question

7. Water runs into a fountain, filling all the pipes, at a steady rate of 0.750 m³/s. (a) How fast will it shoot out of a hole 4.50 cm in diameter? (b) At what speed will it shoot out if the

diameter of the hole is three times as large?

Answer 1

$\dot V=vS=\frac{\pi vd^2}4,\implies$

$v=\frac{4\dot V}{\pi d^2}=472~\frac ms,$

$v_1=\frac v9=52~\frac ms.$