A round pipe of varying diameter carries petroleum from a wellhead to a refinery

Question

A round pipe of varying diameter carries petroleum from a wellhead to a refinery. At the wellhead the pipe's diameter is 50.5 cm (0.505 m) and the flow speed of the petroleum is 10.5 m/s. At the refinery the petroleum flows at 5.75 m/s. What is the volume flow rate of the petroleum along the pipe and what is the pipe's diameter at the refinery? A round pipe of varying diameter carries petroleum from a wellhead to a refinery. At the wellhead the pipe's diameter is 50.5 cm (0.505 m) and the flow speed of the petroleum is 10.5 m/s. At the refinery the petroleum flows at 5.75 m/s. What is the volume flow rate of the petroleum along the pipe and what is the pipe's diameter at the refinery? A round pipe of varying diameter carries petroleum from a wellhead to a refinery. At the wellhead the pipe's diameter is 50.5 cm (0.505 m) and the flow speed of the petroleum is 10.5 m/s. At the refinery the petroleum flows at 5.75 m/s. What is the volume flow rate of the petroleum along the pipe and what is the pipe's diameter at the refinery?

Explanation / Answer

At the wellhead the pipe's diameter is 50.5 cm (0.505 m) and the flow speed of the petroleum is 10.5 m/s.

At the refinery the petroleum flows at 5.75 m/s let diameter be x

pie*((0.505) /2 )*((0.505) /2 )m*10.5 m/s. = pie*((x) /2 )*((x) /2 )m*5.75

x *x= (0.505) )*((0.505) )m*10.5/5.75

x= .682

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