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Hydrodynamics

Problem 1.318

A wide vessel with a small hole in the bottom is filled with water and kerosene. Neglecting the viscosity, find the velocity of the water flow, if the thickness of the water layer is equal to h1=30 cmh_{1}=30 \mathrm{~cm} and that of the kerosene layer to h2=20 cmh_{2}=20 \mathrm{~cm}.

Reveal Answer
 1.318. v=2g(h1+h2ρ2/ρ1)=3 m/s, where ρ1 and ρ2 are the  densities of water and kerosene. \begin{aligned} &\text { 1.318. } v=\sqrt{2 g\left(h_{1}+h_{2} \rho_{2} / \rho_{1}\right)}=3 \mathrm{~m} / \mathrm{s}, \text { where } \rho_{1} \text { and } \rho_{2} \text { are the }\\ &\text { densities of water and kerosene. } \end{aligned}
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