A lightweight potter's wheel having a moment of inertia of 24 is spinning freely at 40 rpm the potter drops 4.16kg of clay onto the wheel where it sticks a distance 1.2 from the rotational axis. if the subsequent angular speed of the wheel and clay is 32 rpm what is the new moment of inertia

Asheet of steel 1.5 mm thick has nitrogen atmospheres on both sides at 1200oc and is permitted to achieve a steady-state diffusion condition. the diffusion coefficient for nitrogen in steel at this temperature is 6 x 10- 11 m2 /s, and the diffusion flux is found to be 1.2 x 10-7 kg/m2 -s. also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is 4 kg/m3 . how far into the sheet from this high-pressure side will the concentration be 2.0 kg/m3 ? assume a linear concentration profile.