Calculating Drop Size, Number and Time for Water Flow Through Capillary

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Homework Help Overview

The problem involves calculating the size, number, and time for water droplets to flow through a capillary tube. The context includes parameters such as the inner radius of the capillary, the surface tension of water, and the time interval between drops.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster seeks to visualize the situation and determine relevant factors for the problem. One participant attempts to derive relationships involving the mass of the drops and their volume, while another participant questions the correctness of the approach.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations and approaches. Some guidance has been offered, but there is no explicit consensus on the correctness of the calculations presented.

Contextual Notes

The original poster expresses uncertainty about how to approach the problem, indicating a need for foundational understanding. There are also multiple posts from the same user seeking clarification, which may reflect confusion or a desire for feedback.

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Homework Statement


Trough a capillary with an inner radius r=1mm water flows in a form of small spherical droplets. What is the radius of the drops, the number of drops in m=10g water and the time needed the water to expire, if the surface tension of the water is =72x10^-3N/m, and the period between two drops is t=2s.


Homework Equations





The Attempt at a Solution


I need an idea how to imagine the situation and what to take into consideration? Help please :/
 
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I tried something:
When the drop is at the end of the tube just before to fall
αl1+αl2=m0g
where m0 is the mass of one drop
2απr+2απR=m0g
R=m0g2απr/2απ
V0=4R3π/3
m0=ρV0
m0=4ρR3π/3
N=m/m0
N=3m/4ρR3π
τ=t3m/4ρR3π
t=2s
 
Last edited:
Here is how I imagined it.
 

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Can anybody tell me if it is correct please?
 
You could've just used the edit button instead of posting 4 times on this thread that you pretty much just started.
 

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