a thermal tap used in certain apparatus consists of silica rod which fills tightly inside an aluminium tube whose internal diameter is 8mm at 0 degree celsius. when the temperature is raised , the fit cross section is equal to that of atube of 1mm in internal diameter. ( Linear expansivity = 8*106-6 k^-1 and Linear expansivity =26*10^-6 k^-1)

At a certain instant after jumping from the airplane a, a skydiver b is in the position shown and has reached a terminal (constant) speed vb = 52 m/s. the airplane has the same constant speed va = 52 m/s, and after a period of level flight is just beginning to follow the circular path shown of radius ρa = 2330 m. (a) determine the velocity and acceleration of the airplane relative to the skydiver. (b) determine the time rate of change of the speed vr of the airplane and the radius of curvature ρr of its path, both as observed by the nonrotating skydiver.