I have a length of string and I want to know the maximum tension the string can support. I tie one end of the string to the ceiling and the other end to a glass of mass 100 g. The glass is cylindrical, with a cross-sectional radius of 4 cm and a height of 15 cm. I fill the glass with water (density of 1 g/cm3) and discover that the string breaks when the glass is 2/3 full. What is the maximum tension in N the string can support?

Question

I have a length of string and I want to know the maximum tension the string can support. I tie one end of the string to the ceiling and the other end to a glass of mass 100 g. The glass is cylindrical, with a cross-sectional radius of 4 cm and a height of 15 cm. I fill the glass with water (density of 1 g/cm3) and discover that the string breaks when the glass is 2/3 full. What is the maximum tension in N the string can support?
Details and assumptions
The acceleration of gravity is −9.8 m/s2.

rohit · Answer

the answer is 5.91

exactly · Answer

Well, apparently I have a different answer. Supposedly the live period is long over so I guess it is safe to discuss. Meanwhile, in the future, refrain from posting brilliant problems.

Step 1: F_g = (m_w + m_g)* g

Step 2: m_w = 𝜌 * V_m

Step 3: For step 2, V_m = π r^2 h

Step 4: Sub everything in