Fluid mechanics

The figure above shows a cubical block of side 10 cm10\text{ cm} and relative density 1.5 suspended by a wire of cross-sectional area 106 m210^{-6} \text{ m}^2. The breaking stress of the wire is 7×106 N/m27\times 10^6 \text{ N/m}^2. The block is placed in a beaker of base area 200 cm2200\text{ cm}^2 and initially i.e. at t=0t=0, the top surface of the water and the block coincide. There is a pump at the bottom corner which ejects 2 cm32\text{ cm}^3 of water per second. Find the time at which the wire will break.

Take g=10 m/s2g = 10\text{ m/s}^2.

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