When you set your treadmill to 10 MPH, do you say “I’m not going anywhere?” or do you say “I’m running 10 MPH”
Cause, if you say you’re running 10 MPH then the planes wheels are how you would determine its speed in relation to the treadmill.
Sure, a plane CAN and will take off of a treadmill. But, what relation are you using to determine its speed. The wheels in relation to the treadmill, or the speed at which it moves through the air?
If in relation to the treadmill, the answer is NO. The plane will sit still, and it will take very little energy from the plane to stay at that speed. It has nothing to do with propulsion but rather keeping the wheels rolling along the treadmill at the same speed.
If in relation to the air, then yes… the plane will do just as you’d predict. Take off normally, with the wheels spinning twice as fast.
Sorry to make your head hurt.