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Water flow speed through a pipe

  • Thread starter Capncanada
  • Start date
  • #1
53
0

Homework Statement



Water flows through a 1.3 cm diameter pipe into a 295 L bathtub, which it fills in 5 min.

What is the speed of the water in the pipe?

Homework Equations



V_in=v_L*t*A_L (Equation I got in my class lecture, I think its a variation of bernoulli's.)

The Attempt at a Solution



Solved for v_L in that equation, but thats not correct.
 

Answers and Replies

  • #2
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
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Did you check your units? You are given liters, cm, and minutes. What units are used for velocity?
 
  • #3
754
1
Clearly, the speed of the water in the pipe was
[tex]\frac{295\ \ell}{5\ min} = 59\ \ell/min[/tex]

But, I'm guessing you're looking for linear speed, not volumetric speed? (something along the line of 5 cm/sec, for instance).
 
  • #4
374
1
Actually 59 l/min is the volumetric flow rate which will equal velocity * cross sectional area of pipe. To make the units turn out correctly you will need to convert liters to cubic meters
 

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