1. Water is moving with a speed of 2.0 m/s through a perfectly sealed long pipe

Question

1. Water is moving with a speed of 2.0 m/s through a perfectly sealed long pipe with a cross sectional area of 8 cm^2. The water descends 9 m as the pipe changes in area to 6 cm^2. The absolute pressure in the higher section of pipe is 5 atm. The pipe is never open to the air.

(a) What is the speed of the water through the lower level of pipe?

(b) What is the absolute pressure in the pipe, at the lower level?

(c) What is the gauge pressure at the higher level?

(d) What volume of water passes through the pipe in 25 minutes?

Explanation / Answer

1. a) Av = Av

8*2 = 6* v

v = 3 m/s

b) P + 1/2 rho v^2 + rho g h = P + 1/2 rho v^2 + rho g h

5*1.013E5 + 0.5*1000*2^2 + 1000*9.81*9 = P + 0.5*1000*3^2

P=5.92E5 Pa

c) gauge pressure = 4 atm

d) V = 8.0E-2*2*25*60= 240 m^3

2. a) v = sqrt( T/(m/l)) = sqrt( 100/(0.5E-3/0.6))= 346 m/s

b) wavelength = 2 L/n = 2*0.6/3= 0.4 m

c) f = v/wavelength = 346/0.4= 865 Hz

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