What I can’t remember is whether the airspeed of the aircraft is added to the rotational speed of the prop tip in analyzing that. Tip speed below supersonic is desirable, of course, because of efficiency reasons, and these were constant speed units. Have to research...
I am a retired Alaska Bush pilot and have seen this happen first hand. Especially when I took off of some short lake, heavily loaded on floats, with air/moisture levels off the chart.