your 100% wrong Bill.
you left out the most important part in your arc analogy.
( the lenghts of the two arcs)
it was tricky and underhanded , but something I have
become used to in this want to be science forum.
but suppose you do draw a 30 degree arc at a 1 foot radius from the center.
and you draw a 30 degree arc 100 ft from the center.
do you actually think that the arc at the 100 ft radius
will be the same length as the arc at the 1 ft radius?
LOL
not a chance...
the circumference of the entire circle at the 1 ft radius
point is 6.28 ft
the circumference of the entire circle at the 100 ft radius
point is 628.00 ft
and since you have used 1 second time for travel in both arcs
and since you have used 30 degree arcs , quite naturally you would have 2 travel times of 1 second both traveling
along a 30 degree arc.
you just left out the distance of the 2 30 degree arcs.
the 30 degree arc at a radius of 1 ft is 0.52 ft in length.
the 30 degree arc at a radius of 100 ft is 52 ft in length.
you say theres no difference in angular velocity
I say that there is , and plenty of it.
0.52 ft/sec angular velocity.
vs
52 ft/sec angular velocity.
so the difference in the two velocities is
a whopping 51.48 ft/sec.
