is it 2√(R/g) by chance ?? (little bit tukka :P)
A simple one for today...
What is the time in which a sphere of radius R is emptied by a hole at the bottom of it which is of radius "a" << R
Only force is due to gravity.
**Filled with water
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11 Answers
skygirl
·2009-01-14 11:26:08
yeah one prob .... area of cross section not fixed newhere.....
huh!
me talking nonsense...
neend me socte hain iske bare me [3]
Aditya
·2009-01-14 21:20:22
where exactly is the hole from bottom?.....if it is at the bottommost point , time reqd shud b infinite as philip said.
Celestine preetham
·2009-01-14 23:11:50
use v=√2gh
dVolume/dt = av
express volume as function of height
and integrate to find time
skygirl
·2009-01-15 19:18:02
is the time...
t= 2R2/g√2Rg/(R4-a4) (1- a2/R2)
??
(most ganda ans of this new year..)