It slowing down was how I was trying to grasp the concept. It would have to slow down then snap back to it's originating position with every rotation, yet altering that position and time that it's slowed down based on RPM. Just seems like an astronomical amount of activity going on, and I'm sure that engine revs to 6,000 at least. I'm not nay-saying, just marveling at the mechanics... That I don't understand.
I see...
If you stand beside the center of a merry-go-round, and it takes 10 seconds to make one complete circle, you go a very small distance in 10 seconds so you are actually moving slowly. If you move to the edge of the merry-go-round, you are actually moving faster because you are having to travel a greater distance in the same 10 seconds. Note that the merry-go-round hasn't changed it's rotational speed of one revolution every 10 seconds.
What would happen if the pivot of the merry-go-round were actually not in the center, but off to one side? People sitting on the little horsey that's closest to the pivot would move slowly while those on the horsey farthest away from the pivot would be moving faster.
Now imagine a merry-go-round that can
move it's pivot from side to side! When the pivot starts in the center, everyone moves at the same speed. Then the pivot moves to one side and people on one side start moving faster while the people on the opposite side move more slowly.
The valve stem only cares about how
fast the cam lobe comes by. So, the faster moving cam lobe will result in a shorter opening time for the valve while a slower moving lobe would result in a longer opening time.
So far, this doesn't explain why the lobe seemed to move faster, then slower for each rotation. This is because our merry-go-round was attached to the pivot. If the cam lobe were attached directly to the cam shaft, the lobe would be moving farther and closer to the valve stem. Note that at 8:26, the camshaft center and lobe center did not actually change itself. Rather, the center of the "gearing" changed its center.
At 9:17, the "slider" is like our merry-go-round. As it slides one direction, the pivot moves to one side or the other like the pivot of our merry-go-round could change. But, the valve stem is not riding on the slider. Instead, the cam lobe is attached to the slider. Remember that the merry-go-round had a fast and slow end. So does the "slider". As the slider rotates the cam, the fast part of the slider will speed up the lobe for half the rotation, but then the slow end of the slider will slow the lobe for the other half of the rotation.