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Mechanical Properties Of Fluids

Question
CBSEENPH11018351

Calculate the force required to take away a flat circular plate of radius 5cm and mass 2gm from the surface of water. The surface tension of water is 72 dyne/cm.

Solution

Given, 
Radius of the circular plate, r = 5 cm 
Mass, m = 2 gm
Surface tension of water, T = 72 dyne/cm

 Weight of plate is, W = mg=2 x 980 = 1960 dyne

The circumference of circular plate is given by, =2πr=2π×5=31.4cm

The down pull on plate due to surface tension is given by, 
 
f=T=72×31.4=2260.8 dyne 

Therefore, total force required to take plate away from water surface is,

F=W+f 

 =1960+2260.8 

 =4220.8 dyne