Question

Your uncle is in the below-deck galley of his boat while you are spear fishing in the water nearby. An errant spear makes a small hole in the boat's hull, and water starts to leak into the galley. If the hole is 0.900 m below the water surface and has area 1.30 cm2 , how long does it take 10.0 L of water to leak into the boat?

Answer 1

Answer:18.31 s

Explanation:

Given

hole is h=0.9 m below the water surface

area of of hole $A=1.30 cm^2$

Q=10 L

velocity of Flow

$v=\sqrt{2gh}$

$v=\sqrt{2\times 9.8\times 0.9}$

$v=\sqrt{17.64}$

$v=4.2 m/s$

Rate of flow is given by

$\dot{Q}=A\cdot v$

$\frac{Q}{t}=A\cdot v$

$\frac{10\times 10^{-3}}{t}=1.30\times 10^{-4}\cdot 4.2$

$t=\frac{10\times 10}{5.46}$

$t=18.31 s$