Problem (5) A 140 lb pilot of an airplane executes a vertical loop which in part follows the path of a "four-leaved rose" = (−400 cos 2thetatheta) ft, where thetatheta is measured in radians. If the pilot experiences weightlessness at point A while flying at a constant velocity, determine the speed of the airplane. Does your answer depend on the weight of the pilot?

Aturning operation is performed with following conditions: rake angle of 12°, a feed of 0.35 mm/rev, and a depth of cut of 1.1 mm. the work piece is aluminum alloy 6061 with t6 heat treatment (a16061-t6). the resultant chip thickness was measured to be 1.0 mm. estimate the cutting force, fc. use shear stress of 207 mpa and coefficient of friction on the tool face of 0.6.