Bernoulli\'s Equation is essentially a statement of conservation of energy for a

Question

Bernoulli's Equation is essentially a statement of conservation of energy for a fluid. The pressure is related to the work and other two terms are related to the kinetic energy per unit volume and the potential energy per unit volume.

Given two points (Point 1 and Point 2) in a fluid, Bernoulli's Equation states:

P1 + (1/2)?v12 + ?g h1 = P2 + (1/2)?v22 + ?g h2

where P is the pressure, ? is the density of the fluid, v is the velocity of the fluid, and h is the height of the fluid relative to a reference level.

Suppose we have a fluid with a density of 1.01

Explanation / Answer

p1+(1/2)*rho*v1^2 = p2+(1/2)*rho*v2^2...
p2 = p1+(1/2)*rho(v1^2-v2^2) =1.66*10^5+(0.5*1.01*10^3)(3.72^2-6.06^2) = 1.54*10^5 Pa...

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2) p2 = p1+rho*g(h1-h2) = 1.66*10^5+1.01*1000*9.8(0-3.69) = 1.29*10^5 Pa

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