surface tension

When water is filled carefully in a glass, one can fill it to a height h above the rim of the glass due to the surface tension of water. To calculate h just before water starts flowing, model the shape of the water above the rim as a disc of thickness h having semicircular edges, as shown schematically in the figure. When the pressure of water at the bottom of this disc exceeds what can be withstood due to the surface tension, the water surface breaks near the rim and water starts flowing from there. If the density of water, its surface tension and the acceleration due to gravity are 103kg m−3, 0.07 Nm−1 and 10 ms−2, respectively, the value of h (in mm) is ___.
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iTeachChem Helper
@Gyro Gearloose
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nori
noriOP2w ago
how do i solve this using force balance i did it using excess pressure, but the force balance eqn gives another result, can someone pls show how to use force balance here the ans is 3.74 ig
nori
noriOP2w ago
what i did
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integralofe^2v
why will it be 2Tl, the force Tl is actign throughout the circumeference so its realy just a singular force
nori
noriOP2w ago
hmm okay but there's an interface near the lower surface too right wait ill send another question very similar to this one
nori
noriOP2w ago
force balance works pretty well here (unless im doing it wrong) how would u solve this using force balance
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nori
noriOP2w ago
the former q doesnt mention any angle, but it says semicircular wtv, so i took an additional Tl. i dont understand
integralofe^2v
ohh yea ur right mb didnt see that, theres air water interface and beaker and water so 2 diff forces of ST right yup this would be same as wha u did above
nori
noriOP2w ago
okay idk why the solns dont match in the first one
integralofe^2v
jee has the wrong ans most prolly and afaik they didnt corrected it till now
nori
noriOP7d ago
ah okay thanks a bunch +solved @integralofe^2v
iTeachChem Helper
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