P₁ = P₁+pg h₁ p = m/V F₁/A₁=F₂/A₂ P₁A₁V₁ = P2A₂V2 A₁V₁= A₂V₂ P + pv₁² +pgy = constant P₁ + ½ pv₂² +p gy₁ = P₂ + ½ pv₁2 +p gy2 Bernoulli's Equation 10-1 *-* FIL .*. mu Where Po = weight of air at sea level = 1.01 X 105 Pa Density mass/volume Pascal's Principal Equation of Continuity Equation of Continuity for incompressible fluid Bernoulli's Equation
1) Calculate the weight of the water filling an aquarium measuring 3 m X 1 m X 0.5 m if the density of water is 1.00 X 10³ kg/m³? 2) A partially filled oil tank contains very heavy oil having a density of 9.00 g/ cm³ and a height of 5 m. Due to a valve failure light crude oil having a density of 0.500 g/ cm³ has flooded the tank to a depth of 4m. Find the pressure at the bottom of the oil tank shown below in cross section if the weight of air is 1.013 x 10³ Pa.? Air Light Oil Am Heavy Oil 5m 3) In a car lift at a service station, compressed air exerts a force on a small piston of circular cross sectional radius of 3 cm. The pressure is transmitted to an incompressible liquid to a second piston having a radius of 10 cm. What force must the compressed air exert on the small piston in order to lift a car weighting 15,000 N? (Area piston = m²)
-1) 19,700M 2) 167,400 Pa 3) 1350 N
P₁ = P₁+pg h₁ p = m/V F₁/A₁=F₂/A₂ P₁A₁V₁ = P2A₂V2 A₁V₁= A₂V₂ P + pv₁² +pgy = constant P₁ + ½ pv₂² +p gy₁ = P₂ + ½ pv₁2 +
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P₁ = P₁+pg h₁ p = m/V F₁/A₁=F₂/A₂ P₁A₁V₁ = P2A₂V2 A₁V₁= A₂V₂ P + pv₁² +pgy = constant P₁ + ½ pv₂² +p gy₁ = P₂ + ½ pv₁2 +
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