This only works if the distance traveled by the ball is the same as the arc length which has rolled past the point of contact with the surface on which it rolls.
(This; only works; ) (the distance; traveled; by the ball) (the distance traveled by the ball; is; the same as the arc length) (the arc length; has rolled; past the point of contact with the surface) (the surface; rolls; )
This the distance the distance traveled by the ball the arc length the surface
only works traveled is has rolled rolls
by the ball
the same as the arc length
past the point of contact with the surface