Fluids examples 1.Hydrostatic pressure calculation height of water level above bottom = meters What is the pressure at the bottom?

2. Ship displacement 810 million N! How many cubic meters of water are displaced by the ship? (How much volume of the ship’s hull is below the waterline?)

a A F = 500 N F1F1 40 cm 5 cm A/a = 100 a) What mass truck can F lift? b) If piston a moves 1 cm /sec, how fast does the truck rise? 3) Hydraulic Lift F2F2

Use your knowledge of equilibrium, (beams) to get F 2 Use Pascal’s Principle to get Max Lift Force. Use Continuity to get lift speed. A 1 v 1 = A 2 v 2 Sum of torques = 0 = 40 F 1 +5 F 2

m Area = 640 sq km cm dia, cm dia outlets a) What is the velocity of the stream at the emergency outlets? c) How fast does the level of Lake Mead drop when all gates are open? b) How far does out into the river does the outlet stream land in the Colorado River? g = 9.8 m/sec 2 Colorado River 55 meters Lake Mead 4) Hoover Dam

a) What is the velocity of the stream at the emergency outlets? Start with Bernoulli’s eq’n Down RiverLake Mead P + 1/2  v 2 +  gh = P + 1/2  v 2 +  gh

b) How far does the stream travel before reaching the downstream water level? Think back to freefall Velocity v 55 m d = ? Time to fall= ??? dist = v t

c) How fast does the level of Lake Mead drop when all gates are open? Continuity a 1 v 1 =a 2 v 2 Area of Lake Mead = 640 sq km Area of outlets = 8 x  (0.865) x  1.15) 2 sq m Use v from previous exercise