A. Calculate pressure in the following cases of static equilibrium : (a) In atmospheric air (assume ideal gas behavior) as a function of elevation z measured in meters, if the temperature changes with elevation according to T(z) = (300 – 0.0065z)K. In addition, compute pressure at altitude z = 2km. (b) On the walls of a balloon containing 0.25kg of air at altitude z = 100m (use the previous result for pressure and density). In addition, compute the radius of the balloon. (c) At the bottom of a cylindrical tank (open to the atmospheric air) of radius R= 1m, containing 6.28 × 10³kg water at 4°C (give the result in psia units). (d) Under the 36-in² area of the shoe of a 170-lbm man. (e) Under the 3-in²-area shoe of a hockey player of 170-lbm Weight, on ice.

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Units and Dimensions

Dimensions are the basic concepts of the measurement of quantities. Units are the means of expressing the dimensions. For instance, an area has a dimension of L2 and a unit of m2.