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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?

Respuesta :

Answer:18.31 s

Explanation:

Given

hole is h=0.9 m below the water surface

area of of hole [tex]A=1.30 cm^2[/tex]

Q=10 L

velocity of Flow

[tex]v=\sqrt{2gh}[/tex]

[tex]v=\sqrt{2\times 9.8\times 0.9}[/tex]

[tex]v=\sqrt{17.64}[/tex]

[tex]v=4.2 m/s[/tex]

Rate of flow is given by

[tex]\dot{Q}=A\cdot v[/tex]

[tex]\frac{Q}{t}=A\cdot v[/tex]

[tex]\frac{10\times 10^{-3}}{t}=1.30\times 10^{-4}\cdot 4.2[/tex]

[tex]t=\frac{10\times 10}{5.46}[/tex]

[tex]t=18.31 s[/tex]                              

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