3/2018 11:59 PM A 80.4/100 Grade Print Calculator Periodic Table tion 23 of 25 M

Question

3/2018 11:59 PM A 80.4/100 Grade Print Calculator Periodic Table tion 23 of 25 Mapd Sapling Learning A round pipe of varying diameter carries petroleurm from a wellhead to a refinery. At the wellhead the pipe's diameter is 56.7 am (0.567 m) and the flow speed of the petroleum is 13.9 m/s. At the refinery the petroleum flows at 5.23 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 Diameter Number cm Previous Give Up & Vew Solution Check Answer Next Exit about us careers privacy policy terms of use 1 contact us

Explanation / Answer

Volume flow rate V = A*v1

A =a rea of cross section = pi*r1^2

r1 = radius of pie at wellhead = 0.567/2 = 0.2835 m

v1 = speed of flow at well head

Volume flow rate V = pi*0.2835^2*13.9 = 3.51 m^3/s <<<<<-------------ANSWER

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from equation of continuity

volume flow rate remains constant through out the pipe

V2 = V1

A2*v2 = A1*v1

pi*r2^2*v2 = 3.51

pi*r2^2*5.23 = 3.51

r2 = 0.462 m

diameter D = 2*r2 = 0.924 m = 92.4 cm <<<<<-------------ANSWER

DONE please check the answer. any doubts post in comment box

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