Fluids
Pressure ●Pressure is the force per unit of area ●Pascals (Newtons/m 2 ) ●Used to describe the influence on fluid behavior
Pascal Principle Pressure is transmitted undiminished in an enclosed static fluid P=pg(h) ●P- The difference in pressure ●p-The density of the Fluid(kg/m 3 ) ●h-height of the fluid above the point of measurement(m)
Pascals Principle
What is the pressure acting on a diver who is swimming in saltwater(1029 kg/m 3 )when the diver’s depth is 10 meters. P=pg(h) P=(1029)(-9.8)(-10) P=(1029)(98) P=100,842 Pascals
Bernoulli's Principle ●Increase in a liquid’s speed creates a pressure decrease ●Decrease in a liquid's speed creates a pressure increase. ●Aircraft function based on this principle P 1 +1/2pv pgh 1 = P 2 +1/2pv 2 2 +pgh 2 P=Pressureg=Gravity h=Elevation p=Densityv=Velocity
Bernoulli's Principle What is the final pressure of helicopter if it goes from 300m (100 pascals) to 250m with a velocity of 25 m/s.(p=1.225kg/m 3) P 1 +1/2pv pgh 1 = P 2 +1/2pv 2 2 +pgh (½(1.225(10) 2 )+(1.225(-9.8(300))= P 2 = (½(1.225(10) 2 )+(1.225(-9.8(250)) P 2 =600.25
Archimedes Principle
Important Equations Force Buoyant = the weight of displaced water The weight displaced = Force Buoyant If Weight displaced < Mass object Then the Object will sink If Weight displaced > Mass object Then the Object will float Archimedes Principle
How much water must be displaced for an object to have a buoyant force of 3N.