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Derivation of Tourcillis theorem......plzz |
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Answer» e the ATMOSPHERIC pressure , ρ be the density of liquid and v be the velocity of fluid coming out of orifice of a container. Depth of orifice from free SURFACE is h and TOTAL depth till bottom is H. Pressure of liquid at free surface and orifice is atmospheric and has nothing to do with horizontal velocity coming out of orifice. Liquid coming out has both KINETIC energy and potential energy while liquid at free surface has only potential energy.According to Bernoulli's theorem , sum of pressure and total energy per UNIT volume at surface and every point of orifice is constant.p+0+ρgH = P+ρv2/2 + ρg(H-h)Since potential energy of free surface has to convert to kinetic energy of motion.ρgH = ρv2/2Now solve for v. |
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