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

[10bunny10]

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 :/

 

[10bunny10]

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

 

[10bunny10]

Here is how I imagined it.

 

[10bunny10]

Can anybody tell me if it is correct please?

 

[Whovian]

You could've just used the edit button instead of posting 4 times on this thread that you pretty much just started.