hw4F10 - out the rear end of the pan 3 Salt water exits a...

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AAE333 Fall 2010 Homework 4 Due: Monday Sept 20 10% bonus if turned in on Friday 9/17/10 1. Consider a tank of water 1m deep. At the bottom of the tank is a square door, 2 cm on each side, which is hinged along the top edge so the bottom is free to rotate outward from the tank. The tank is open at the top to 1 atm air. The door . connects the tank to a pressurized line full of air Determine the line pressure required to keep the door closed for two : situations . a The door hangs vertically . b ( The door hangs at a 45deg angle to the horizontal and ) vertical . 2 , Consider a pan which is 2cm deep 10cm long and 5 cm . , . wide The pan is half filled with water 1cm deep This pan is placed on a cart which is subjected to a uniform acceleration “ ” ( ). a along the long axis of the pan 10cm Determine how “ ” ( ” ) big a would have to be in g s to make the water slosh . out the rear end of the pan . 3 Salt
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Unformatted text preview: . out the rear end of the pan . 3 Salt water exits a 1cm by 1cm square hole at a speed of / . . % . 2cm s The salt content is 0 2 by weight What is the mass ( . / ) flow rate of salt coming out the hole ie gm sec ? 4. Given a velocity field 2 3 x y z u xe ye Kze = + + r r r r , where K is some / . constant and velocities are measured in m s Find the rate of ( . . expansion of a fluid particle i e the fractional increase in ). volume per second What value would K have to have for the fluid to be incompressible? 5. , For the same velocity field given in Pb 4 determine the total . volume per second of fluid leaving a cube with each edge 2 , = , =. , = , =. , = m long with its six faces at x 0 x 2 y 0 y 2 z 0 and =. . z 2 respectively What is the this volume flow rate if the fluid is incompressible? AAE333 Fall 2010...
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