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In the figure, water flows through a horizontal pipe and then out into the atmos

ID: 2256340 • Letter: I

Question

In the figure, water flows through a horizontal pipe and then out into the atmosphere at a speed v1 = 17.0 m/s. The diameters of the left and right sections of the pipe are 4.80 cm and 2.80 cm. (a) What volume of water flows into the atmosphere during a 10 min period? In the left section of the pipe, what are (b)the speed v2 and (c) the gauge pressure?

In the figure, water flows through a horizontal pipe and then out into the atmosphere at a speed v1 = 17.0 m/s. The diameters of the left and right sections of the pipe are 4.80 cm and 2.80 cm. What volume of water flows into the atmosphere during a 10 min period? In the left section of the pipe, what are the speed v2 and the gauge pressure?

Explanation / Answer

a) A2V2 = pier2^2 v2 = 3.1415*0.028^2*17 = 4.18*10^-2 m^3/s

in 10min = 600s

4.18*10^-2*600 = 25.08 m^3

b)v1 = r2^2/r1^2*v2 = 0.028^2/0.048^2 *17 = 5.78 m/s

c) p1 = (1.01*10^5)+0.5*1000*(17^2-5.78^2)

=2.28*10^5 pa

p = 0.5*rho(v2^2-v1^2) = 12.78*10^4 Pa

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