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I need a detailed step by step by step account with answer on how to solve this problem good luck! im stumped.

water flows through a 1 meter long conical section of pipe that joins a cylindrical pipe of radius .45 meters , on the left, to a cylindrical pipe of radius 0.25m. on the right. If water flows into the .45 meter pipe with a speed of of 1.50m/s, and if we assume laminar nonviscous steady state flow, a.) what is the speed of flow in the .25 meter pipe? b.) what is the speed of flow at a position x in the conical section, if x is the distance measured from the lefthand end of the conical section of pipe?

Explanation / Answer

Using equation of continuity : A1v1 = A2v2 a) v2 = A1v1/A2 = 4.86 m/s b) Radius of section at distance x from left end = -0.4x + 0.9 Area = Pi * [0.9-0.4x]^2 => Velocity = Pi * (0.45)^2 * 1.5 / Pi * [0.9-0.4x]^2 = 0.30375 / [0.9 - 0.4x]^2 m/s

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