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modibis/view.php?id=42387 48 ng Jump to... tral University-PHYS 1114-Fall17-BRYHAN > Activities and Due Dates HW: Fluid Dynamics 12/1/2017 11:59 PM O 4.8/20 Grad Print Calalator [_ Periodic Table Question 2 of 4 Sapling Learning diameter caries petroleum from a wellhead to a refinery. At the wellhead the pipe's mto57C 557 m) and the flow speed ofthe petroleum is 13 Inneryu her weehead the pipe's A round pipe of v petroleum flows at 6.09 m/s. What is the volume flow rate of the petroleum along the pipe and what is the pipe's diameter at the refinery? Volume flow rate Number m Is Diameter Number cm Exit O Previous ®GiveUp & View Souon OO eck Answer Next Hint

Explanation / Answer

A.

Volume flow rate is given by:

Q = A*v

Q = pi*r^2*V

r = d/2 = 0.557/2 = 0.2785 m

So,

Q = pi*0.2785^2*13.7^2

Q = 3.34 m^3/sec

B.

Now using continuity equation

Q1 = Q2

A1V1 = A2V2

A2 = A1V1/V2

r2^2 = r1^2*(V1/V2)

r2^2 = 0.2785^2*(13.7/6.09)

r2 = sqrt (0.1745)

r2 = 0.4177 m = 41.77 cm

diameter = 2*41.77 = 83.54 cm

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