Originally posted by: JujuFish
Originally posted by: rizzaz
"The belt compensates for the rotation of the wheels in reverse, as in the belt moves in reverse exactly as fast as the wheels move forward"
However the planes engines can push really hard ( harder that you could push a wheelchair!) so it can keep getting faster until it runs down the runway and takes off like normal, its no different to a normal take off except that you would need a longer runway!!
Except now we have exceeded the described senario.. the planes wheels are rotating faster than the runway.
so yes the plane could take off.. except it doesn't because all the thrust it provides is compensated for by the conveyor belt.. it pushes harder, the conveyor speeds up etc..
I bolded the part where you've gone astray. Look closer at the sentence you quoted. It does not say that the the conveyor matches the angular velocity. "...as the wheels move forward" can only be logically read as the linear velocity with respect to the surroundings/air.
well yes it doesn't say the conveyor matches angular velocity but neither does it say linear velocity of the wheels, however i think that it means angular
in full
"The plane increases it's thrust and the wheels begin to rotate. The belt compensates for the rotation of the wheels in reverse, as in the belt moves in reverse exactly as fast as the wheels move forward."
the wheels start off not rotating as in my example... then they begin to rotate then the belt compensates for the rotation and the belt moves in reverse exactly as fast as the wheels move forward
we're tallking about rotation of the wheels here hence angular not linear velocity.. it never mentions speed relative to the surrounding air