Originally posted by WhiteHawk
So its settled, the plane will take off, if the wheels and conveyor dont fail? Or is there more?
Depends on the question:
If the question were that the conveyor were matching the plane’s speed in the opposite direction, the conveyor would be traveling at the rate of 50 mph at take off and so would the plane. The plane would take off normally except its wheels would be rolling at twice their normal take off rpm. That consumes a tiny bit of energy that really can’t be felt by the pilot.
Conveyor matches the plane’s speed: plane will fly!
Our question, however, states that the conveyor must match the plane’s wheel’s speed.
In this case if the plane moves forward, its wheel has gone further, and therefore faster than the conveyor. The only thing that the conveyor can do about this is to speed up like mad!
Conveyor matches the plane’s wheel speed: plane will NOT fly!