What am i doing wrong (water thru a tube question)

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Homework Help Overview

The problem involves fluid dynamics, specifically the flow of water through tubes of different radii. The original poster is attempting to calculate the velocity of water in a larger tube connected to a smaller tube, given specific parameters such as flow rate and pressure.

Discussion Character

  • Mathematical reasoning, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to use the relationship between flow rate, velocity, and cross-sectional area but is unsure about their calculations. Some participants question the accuracy of the original poster's mathematical steps and suggest that there may be errors in their computations.

Discussion Status

The discussion is ongoing, with participants providing feedback on the original poster's calculations. There is an acknowledgment of potential mathematical errors, and further assistance is being sought to clarify the issue.

Contextual Notes

Participants note the importance of careful mathematical handling, especially in the context of homework where calculators may not be available. The original poster has expressed confusion about their results despite following the correct flow rate formula.

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Homework Statement



A tube of radius 6.000 cm is connected to tube of radius 1.000 cm as shown above. (see attachment)..

Water is forced through the tube at a rate of 20.97 liters/min. The pressure in the 6 cm tube is 1.015×105 Pa. The density of water is 1000 kg/m3. Assume that the water is nonviscous and incompressible, and keep at least four digits in your computations.

(a) What is the velocity of the water in the 6 cm radius tube?
this is easy but i keep getting wrong answer --dont know why?

Homework Equations





The Attempt at a Solution


heres what i did
Im = v * A (that is, flow rate = velocvity times area)

so after conversions (20.97l/m /60 * 10^-3 = m^3) i have

Im = 3.495*10^-4m/s * .011 (pie*.06^2)
= 3.845*10^-6m/s

this is wrong.
Why?

please help... thanks!



 

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well i didnt put brackets in right place.
should be
(20.97l/m /60) * 10^-3 = m^3)

=3.495*10^-4

still doesn't solve prob though.
any other help?? please help!??
 
flow rate = velocvity times area
Hence velocity = flow rate/area
 

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