Fluid Mechanics

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A cubical block is to be constructed with iron sheets 1mm in thickness. What can be the minimum value of the external edge so that the cube doesnt sink in water? Density of iron=8000kg/m³ and density of water=1000kg/m³

I solved it like this,

(L_ext-L_int)Ï_irong=(L_ext)³Ï_waterg

=> (2*10^-3)³*8000=(L_ext)³*1000
=> 64*10^-9=(L_ext)³

L_ext=4*10^-3 m

Ans = 4.8cm [2]

#Physics #Mechanics

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3 Answers

Ashish Kothari ·2010-10-20 23:09:32

I got the answer! [1]

Solution:

(V_ext - V_int)Ï_irong=V_extÏ_waterg

V_intÏ_iron=V_ext(Ï_iron-Ï_water)

Let the length of edge be Lcm.

(L-0.2)³*8=L³*7

=> L â‰ˆ 4.6cm

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Vivek @ Born this Way ·2010-10-20 23:46:24

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Ashish Kothari ·2010-10-21 09:58:30

Bad luck tha mera.. No one noticed this post.. I had to help myself.. After spending 2 hours mysteriously looking at the problem.. Ho hi gaya! [3]

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