A splash of knowledge

A 100-gram cylindrical glass is attached to a string that hangs from the ceiling. Then the glass which has a cross-sectional radius of 4 cm and a height of 15 cm is slowly filled with water. If the string breaks when the glass is \(\frac23\) full, what is the maximum tension in Newtons that the string can support?

Details and Assumptions:

  • The acceleration of gravity is \(-9.8\text{ m/s}^2.\)
  • The density of water is \(1\text{ g/cm}^3.\)

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