Show that the circumferential strain measured by a transverse gage on a round bar is the same as the radial strain. Explain why this is consistent with our definition of Poisson's ratio equal to the ratio of perpendicular strain to parallel strain.

An ice-making machine inside a refrigerator operates in a carnot cycle. it takes heat from liquid water at 0.0 degrees celsius and rejects heat to a room at a temperature of 19.2 degrees celsius. suppose that liquid water with a mass of 76.3kg at 0.0 degrees celsius is converted to ice at the same temperature. take the heat of fusion for water to be l_f = 3.34*10^5 j/kg.how much energy e must be supplied to the device? express your answer in joules.