(1)In this animation, we start with a circle. (2)An object moves along the circle with a velocity "v". (3)We observe it at two times.

Next, we slide the two observation points together, so it looks like there is only one observation point.  (This acutally involves calculus, but we will stick with using our imagination) Now we can see the difference between the two velocities... a = Dv/t Since our velocity changes, there is acceleration.  Which way does the arrow (the difference) point?  Toward the middle! NOTE: The blue vectors are equal!  This means that the cycle's spedometer is reading one steady number.

Now you know why Carl Fogarty must lean his Ducati so steeply as he makes this turn!