Can A Plane Take Off On A Treadmill?
Originally Posted by X4DLuvOfSpeedX,Jan 28 2008, 11:30 AM
Nope, the car (or runner) won't take off. I'm sure the riddle meant "moving forward" in relation to the treadmill's direction, not to a fixed point on Earth. So a plane would take off, a runner or a car wouldn't. But I see your point. I guess the riddle is open to interpretation.
As a logical problem there is only one correct way to solve this. You have two speed variables: conveyor and plane. As variables, they have to be taken in relation to the same point/ frame of reference, and that object/ frame of reference cannot be one of the variables themselves. The fact that it "seems right" for the plane to be measured against the conveyor is a human flaw, plain and simple. At one point in human history it seemed right that the sun rotates around the earth. Or that the earth is flat. Or that human sacrifice makes the crops grow.
Anyways, plug this problem into a purely mathematical/logical machine, such as a computer, which doesn't have any biased pre-conceptions of what reality is and isn't, and the answer it's going to spit out is that the plane/car/runner/brick/skier/house has to be moving forward if the conveyor is to move backwards. That is what the riddle clearly states. We can't throw this fact out because it doesn't seem right.
Originally Posted by vtec9,Jan 28 2008, 02:46 PM
A car with wings and a jet engine will take off. A guy wearing a jet pack and roller blades with wings taped to his arms even has a chance to take off.
The deceiving thing here that I just grasped, is that it is not being implied that the treadmill will aid the plane in all of a sudden lifting off with extremely high acceleration into the air from a stand still.
To compare a car and plane side by side (which has kind of already been done):
Propulsion
Car: Wheels - Plane: Air Turbine Engines/Propeller
Propelled Against
Car: The Ground - Plane: The Air
Free Spinning Wheels?
Car: No - Plane: Yes
To Counter Motion
Car: Treadmill - Plane: Wind Tunnel
The countering force that is being offered by the treadmill does not oppose the actual cause of resistance to the aircraft, which is air. If the plane were placed in a wind tunnel with enough high speed wind, it is theoretically possible that a plane could float on the spot because you are now countering the actual propulsion with an appropriate opposite force.
As was stated, the treadmill is almost irrelevant here in answering this question.
To compare a car and plane side by side (which has kind of already been done):
Propulsion
Car: Wheels - Plane: Air Turbine Engines/Propeller
Propelled Against
Car: The Ground - Plane: The Air
Free Spinning Wheels?
Car: No - Plane: Yes
To Counter Motion
Car: Treadmill - Plane: Wind Tunnel
The countering force that is being offered by the treadmill does not oppose the actual cause of resistance to the aircraft, which is air. If the plane were placed in a wind tunnel with enough high speed wind, it is theoretically possible that a plane could float on the spot because you are now countering the actual propulsion with an appropriate opposite force.
As was stated, the treadmill is almost irrelevant here in answering this question.




