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

Step-by-step 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=√(2gh)`

`v=√(2* 9.8* 0.9)`

`v=√(17.64)`

`v=4.2 m/s`

Rate of flow is given by

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

`(Q)/(t)=A\cdot v`

`(10* 10^(-3))/(t)=1.30* 10^(-4)\cdot 4.2`

`t=(10* 10)/(5.46)`

`t=18.31 s`