Can a Plane on a Treadmill Take Off?

"cjcampbell" wrote in message
oups.com...
Saw this question on "The Straight Dope" and I thought it was amusing.

http://www.straightdope.com/columns/060203.html

The question goes like this:

"An airplane on a runway sits on a conveyer belt that moves in the
opposite direction at exactly the speed that the airplane is moving
forward. Does the airplane take off?" (Assuming the tires hold out, of
course.)


AH! ...here's the problem! Are the airplane and the belt moving at equal
speeds in opposite directions
relative to the world? (-X mph for the belt & +X mph for the plane = eg.
airspeed of 100mph &
wheel speed of 200mph) If so the airplane could take off. The answer to this
question would be easy --
is the airspeed high enough or not?

......OR relative to each other? If so, there could be just enough thrust
applied to overcome frictional
forces and the airplane doesn't move relative to the world so airspeed is 0.

BUT WAIT!!! .... ANY two objects can be said to be moving (or not) at equal
speeds relative to each other. A point
on the conveyer belt moving east at 4mph and a jet moving west at 600mph
each have a relative velocity of 604
with respect to each other and there could be an observer who sees each
object moving in opposite directions
at 302mph. The only real question is how fast is the airplane moving with
respect to the air(world).

Thrust is an external force applied to the conveyer belt/airplane system.


Cecil Adams (world's smartest human being) says that it will take off
normally.


He likely had a little more information than is available in the OP.