Consider an infinitely thin flat plate of chord c at an angle of attack α in a supersonic flow. the pressures on the upper and lower surfaces are different and linearly varying over each surface; that is, pu(s) = c1 (x/c) and pl(s) = c2 (x/c), where c1 and c2 are constants and c2 > c1. ignoring the shear stress, calculate the location of the center of pressure. (round the final answer to two decimal place.)

May someone explain how to do this question?

Na food processing facility, a spherical container of inner radius r1 5 40 cm, outer radius r2 5 41 cm, and ther- mal conductivity k 5 1.5 w/m · k is used to store hot water and to keep it at 100°c at all times. to accomplish this, the outer surface of the container is wrapped with a 800-w electric strip heater and then insulated. the temperature of the inner surface of the container is observed to be nearly 120°c at all times. as- suming 10 percent of the heat generated in the heater is lost through the insulation, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the container, (b) obtain a relation for the variation of temperature in the container material by solving the differential equation, and (c) evaluate the outer surface tempera- ture of the container. also determine how much water at 100°c this tank can supply steadily if the cold water enters at 20°c.

Four friends, a, b, c, and d are standing varying distances away from a speaker which is producing sound waves.