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Water at 3.8 atmosphere pressure at street level enters a building through a .00

ID: 2076627 • Letter: W

Question

Water at 3.8 atmosphere pressure at street level enters a building through a .00283 m^2 area pipe at a speed of .6 m/s. The pipe goes up to the 5th floor and narrows to an area of .0009 m^2. What is the (a) velocity and (b) pressure of the water at the 5th floor if each floor is 4 m high? A steel bridge expands and contracts with the air temperature. In order to prevent buckling of the pavement expansion joints are built into the road. A steel bridge over the Mississippi which has a length of one mile when the temperature is 20^degree C. If the maximum temperature is and the minimum is minus 40^degree C, How wide does the expansion gap have to be?

Explanation / Answer

12.

(A) volume flow velocity will remain same.

(0.00283) (0.6 ) = (0.0009) v

v = 1.89 m/s

(B) bernoulli's equation,

P + rho g h + rho v^2 / 2 = constant

(3.8 x 101325) + (1000 x 9.9 x 0) + (1000 x 0.6^2 /2 )

= P + (1000 x 9.8 x 4 x 5) + (1000 x 1.89^2 / 2)

P = 1.87 x 10^5 Pa