Map Sapling Learning macmillan learning A liquid of density 1.33 x 103 kg/m3 flo

Question

Map Sapling Learning macmillan learning A liquid of density 1.33 x 103 kg/m3 flows steadily through a pipe of varying diameter and height. At location 1 along the pipe the flow speed is 9.27 m/s and the pipe diamete2.5 cm is 12.5 cm. At location 2 the pipe diameter is 16.5 cm. At location 1 the pipe is 8.55 m higher than it is at location 2. Ignoring viscosity, calculate the difference between the fluid pressure at location 2 and the fluid pressure at location 1 thepdiameter 12.5 cm 8.55 m Number Pa 16.5 cm

Explanation / Answer

From Continuity equation

A1V1=A2V2

(pi*0.1252/4)*9.27=(pi*0.1652/4)*V2

V2=5.32 m/s

From Bernoulli's equation

P1+(1/2)pV12+pgh1=P2+(1/2)pV22+pgh2

P1+(1/2)*1330*9.272+1330*9.81*(0)=P2+(1/2)*1330*5.322+1330*9.81*(-8.55)

P2-P1=1.5*105 Pa

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