A uniform solid brass cylinder of mass `M = 0.5 Kg` and radius `R = 0.03 m` is placed in frictionless bearings and set to rotate about its geometrical axis with an angular velocity of `60 rad/s.` After the cylinder has reached the specified state of rotation, it is heated (without any mechanical contact) from room temperature `20^(0)C` to `100^(0)C`. The fractional change in angular velocity of the cylinder is `(alpha = 2 xx 10^(-5//0)C)`sss