Calculating frictional heat from rotating mass

[Condiec391]

How would one calculate the heat generated by a rotating body inserted into a different softer material? Similar to a drill bit, but without the cutting edges so a smooth constant profile across the probe surface.

 

[BvU]

Hello Condiec,

Torque times angular speed gives the power put in; almost all of that will be converted to heat.

It's comparable to friction work with linear motion: $F \times v$