Fluids examples 1 Hydrostatic pressure calculation height of

Fluids examples 1. Hydrostatic pressure calculation height of water level above bottom = 158. 5 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? )

3) Hydraulic Lift a) What mass truck can F lift? F = 500 N 40 cm F 2 A 5 cm F 1 a A/a = 100 b) If piston a moves 1 cm /sec, how fast does the truck rise?

Use your knowledge of equilibrium, (beams) to get F 2 Sum of torques = 0 = 40 F 1 +5 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

4) Hoover Dam a) What is the velocity of the stream at the emergency outlets? b) How far does out into the river does the outlet stream land in the Colorado River? c) How fast does the level of Lake Mead drop when all gates are open? 8 - 173 cm dia, 4 - 229 cm dia outlets 55 meters Colorado River http: //www. usbr. gov/lc/hooverdam/faqs/tunlfaqs. html Area = 640 sq km Lake Mead 158. 5 m g = 9. 8 m/sec 2

a) What is the velocity of the stream at the emergency outlets? Down River Start with Bernoulli’s eq’n Lake Mead P + 1/2 rv 2 + rgh = P + 1/2 rv 2 + rgh

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

c) How fast does the level of Lake Mead drop when all gates are Area of Lake Mead = 640 sq km open? Area of outlets = 8 x p(0. 865)2 + 4 x p(1. 15)2 sq m Use v from previous exercise Continuity a 1 v 1=a 2 v 2