Donovan Rebbechi said:What it really boils down to is that on the treadmill,
you're running in a frame of reference that is moving
relative to observers, but that makes very little
difference. It confuses a lot of people, because they
labor under the intuitive delusion that the Earth's
surface is some authoritative bench mark for what is and
isn't "really moving" when in fact it practice it's just a
convenient frame of reference most of the time.
Right. Another simple example that will help is those
conveyer belts that you can sometimes see and use at
airports. Since they move in your direction, if you get on
one and stay stationary, you still move forward. If you were
to start walking normally, you would out-pace someone who is
walking on the floor next to you at the same pace you're
walking. On the other hand, if you were to start walking in
the *opposite* direction of the conveyer belt, now you would
have to walk faster than someone walking on the floor along-
side you and headed in the same direction just to keep up
with them; or you must still walk to remain at the same spot
where your companion stands, were he to stop walking. The
second case is akin to what takes place on the treadmill.
Another example: would you say you are doing less work when
walking *up* a *down*-escalator than if you were walking up
regular stairs? If you answer yes, congratulations, you have
graduated from Macel-logic school.
All of which adds up to: if the device in question is
opposing your direction of motion, you have to do work to
over-come it, either to stay stationary or to move forward.
In the stationary case, the amount of work you must put out
equals that of the motor and is for all intents and purposes
equal to the amount of work along a non-moving surface while
moving forward at the same rate of the opposing motor.
Concretely:
1) If the motor is going at the equivalent of 6.0 miles/hr,
you must run at a rate of 6.0 miles/hr to stay put;
otherwise you fly out the back side.
2) If you want to run on the road at 6.0 miles/hour, you
must run at 6.0 miles/hr. Yeah, really.
In either case, you must run at 6.0 miles/hr, and the amount
of work you must do to accomplish this is the same.
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