Problem 23P

An aluminum bar has the desired length when at 15°C. How much stress is required to keep it at this length if the temperature increases to 35°C?

Solution 23PIntroductionPressure at a position that has a depth of hfrom the surface of water is given by P = hdg ,where d is the density of water and g is acceleration due to gravity.SolutionGiven that, h saltwater 0.80 mWe know that, density of saltwater d = 1030 kg/m 3 saltwater 3Density of freshwater river water d water= 1000 kg/mNow, pressure exerted by the cargo on both water types will be equal.Therefore, P water= P saltwaterh × d × g = h × d × g water water saltwater saltwaterh × 1000 kg/m 3 = 0.80 m × 1030 kg/m 3 waterh water = 0.824 mTherefore, the depth of the cargo inside the river will be 0.824 m.