why is the total distance traveled by a mass traveling in a circle of radius R during n revolutions =2piRn. The average speed is the distance traveled divided by the elapsed time, so:

Question

v=2piRn/delta T, where delta T is the elapsed time.

Answer 1

Why?
the distance around the circle once is 2PI*radius. If one goes n times around, then total distance is 2PI*radius*n

and of course, avgspeed is total distance/time.