Bernoulli's Equation on water flow

AI Thread Summary
Water flows through a horizontal pipe, exiting into the atmosphere at a speed of 19 m/s, with diameters of 4.3 cm and 2.1 cm for the left and right sections, respectively. During a 16-minute period, the volume of water flowing into the atmosphere is calculated to be 6.32 m³. The speed in the right section of the pipe is determined to be 4.53 m/s using the continuity equation. The gauge pressure calculation involves applying Bernoulli's Equation, but there are difficulties in obtaining the correct value, particularly in defining the pressure difference accurately. Clarification on the pipe configuration and measurement points is requested to resolve the gauge pressure issue.
mb85
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Water flows through a horizontal pipe and then out into the atmosphere at a speed v1 = 19 m/s. The diameters of the left and right sections of the pipe are 4.3 cm and 2.1 cm, respectively. (a) What volume of water flows into the atmosphere during a 16 min period? In the left section of the pipe, what are (b) the speed v2, and (c) the gauge pressure?

16 min = 960s

D1 = Area = 3.46x10^-4
D2 = Area = 1.45x10^-3

So for part A.
Rv = Av = (3.46x10^-4)(19)(960) = 6.32 m^3

For part B.
A1v1 = A2v2
(3.46x10^-4)(19) = (1.45x10^-3)v2
V2 = 4.53m/s

Im having problems with the gauge pressure:
Pgauge = Po - Patm
So for Po I am using Burnoulli's Equation

P1 - P2 = rho(g)(Y1-Y2) + 1/2 (rho)(V2^2 - V1^2)
I assumed y to be constant and equal = 0 and density of water = 1000
so i had P1 -P2 = 1/2(1000)(19^2 - 4.53^2)
so i got Pgauge = 1.6855 - Patm

But i can't get it right. can somehow help me.
 
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mb85 said:
Water flows through a horizontal pipe and then out into the atmosphere at a speed v1 = 19 m/s. The diameters of the left and right sections of the pipe are 4.3 cm and 2.1 cm, respectively. (a) What volume of water flows into the atmosphere during a 16 min period? In the left section of the pipe, what are (b) the speed v2, and (c) the gauge pressure?
...

But i can't get it right. can somehow help me.
It would help if you could explain the configuration of the pipe or provide a drawing. Which end is the water coming out at 19 m/s? Where is the pressure being measured?

AM
 
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