Why is the total distance traveled by a mass traveling in a circle of radius R during n revolutions, 2piRn?

Answer 1

C = 2pir units / rev = circumference.

d = 2pir units / rev * n rev = Total
distance traveled.

Now let's use real numbers:

r = 5m.
n = 10revs.

C = 2pir = 6.28 * 5m = 31.4m/rev.

d = 2pirn = 31.4m/rev * 10revs = 314m.