The Young’s modulus of ice is 9GPa. If a pothole, shaped like a cylinder, has volume of 4 liters and a diameter of 25 cm, fills up with rain, and then freezes, the ice wants to expand, at the expense of the surrounding concrete. The density of water can be taken as 1 kg/liter and the density of ice is 0.93 kg/liter.

The Young’s modulus of ice is 9GPa. If a pothole, shaped like a
cylinder, has volume of 4 liters and a diameter of 25 cm, fills up with rain,
and then freezes, the ice wants to expand, at the expense of the surrounding
concrete. The density of water can be taken as 1 kg/liter and the density of
ice is 0.93 kg/liter.

Part 1- Calculate the radius if the ice could form without constraint in the
pothole. Use (delta r/r) as an estimate for the radial strain.

Part 2- Calculate the force that the ice-filled pothole exerts on the
surrounding concrete.

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