The rotating element in a mixing chamber is given a periodic axial movement z = z0 sin 2πnt where z0 = 95 mm, and the frequency n = 2.7 s-1, while it is rotating at the constant angular velocity ω = 9.4 rad/s. determine the maximum magnitude of the acceleration of a point a on the rim of radius r = 112 mm.

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.