Where Am I Going Wrong in My Fluid Mechanics Faucet Problem?

AI Thread Summary
The discussion focuses on solving a fluid mechanics problem involving the flow of water from a kitchen faucet. The user is attempting to find the diameter of the water stream 13 cm below the faucet opening using the principle of conservation of mass, expressed as A1V1 = A2V2. They calculate the average velocity (V1) based on the volume of water collected (125 cm^3 in 16.3 seconds) but struggle to derive the correct velocities for both positions. The user also applies the kinematic equation to find the final velocity (V2) but is unsure where their calculations go wrong. Clarification on the correct application of fluid dynamics principles is needed to resolve the issue.
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a stream of water in steady flow from a kitchen faucet. at the faucet the diameter of the stream is .96cm teh stream fill a 125cm^3 conaienr in 16.3s find teh diamiter if the stream 13cm below he opening if the faucet
i know that A1V1 = A2V2 = constant so pi *.49^2 *V1= pi r^2 *V2
how do i get the velocitys from (125cm^3 in 16.3s) to me that is the average v??
 
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HINT:

\rho A v

is the volume of liquid that passes through a given area per unit time.
 
this is what i do and still don't get the right answer
solve for v with pAv =125cm^3/16.3s with p= density of water A= area of stream at the faucet so v = v1
with v1 i solve for v2 with v2^2 = v1+ 2 a (xf- xi)
having both velocitys i use A1v1=A2v2 and A2=pi * r^2 i to solve for r
i also change r1 to .0048m delta x to -.13m a=-9.8 when solving for v and vf where am i going wrong??
 
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