Originally posted by: smack Down
It doesn't matter that the plane pushes against the air. Using your definition of the control system a car would go forward just fine. The only difference would be the car would have to drive the wheel at 2 mph to get an overall forward speed of 1 mph. ! mph of wheel speed would go to over coming the backwards motion of the treadmill.
Ignoring friction both would require the exact same amount of energy. Assuming equal mass.
It certainly matters that the plane pushes against the air. Why does it matter?...because it makes anything happening under it on a free spinning wheel completely irrelevant.
You could put a stationary plane on a table cloth and yank it out. The plane would remain stationary while the planes wheels briefly spun. **Whatever is going on with the plane's wheels does not matter** They spin freely.
If the plane goes forward at 1mph, it goes forward at 1mph. If the wheels under it are on a treadmill going 50mph forward OR backwards it doesn't matter. That only determines how fast the wheels spin. The plane goes forward at 1mph.
If a car moves forward at 1mph on a treadmill going backwards at 1mph it's speedometer will register 2mph. The car is still moving forward at only 1mph. On the other hand if the car's speedometer says 1mph and it's sitting on a treadmill going backwards at 1mph then the car is stationary.
According to the question posed in this thread when the Airplane moves forward the treadmill moves backwards at the same speed.
"the airplane moves forward" = the airplane moves forward. Period.
"the treadmill moves backwards at the same speed" = the damn treadmill goes backwards at the same speed. Period.
The two are NOT mutually exclusive. You just have two objects going in opposite directions at the same speed. You therefore need some "grease" between them. This "grease" consists of a freely spinning landing gear wheel.
This wheel has a hub attached to one object and the outer circumference attached to another. It therefore spins at a rate which is the sum of the two.
I can't believe how dense everyone is on this thread. It's nuts. I've never seen the likes of it in the HT thread.
I think the big source of confusion here is this:
People are measuring the plane's speed by the rate at which it's wheel rotates rather than the speed at which the entire plane is moving.
If you say a plane is moving forward then the plane is moving forward. If the plane is sitting on a normal runway the airspeed and the wheel (ground) speed will be the same.
If the plane is sitting on a backwards moving treadmill but still going forward then the airspeed and the ground speed will not be the same. The groundspeed will be the airspeed + whatever rate the treadmill is rolling backwards at.
hell... it ain't gonna make the thread any longer we're already up to page 6. Lemme requote one more f'n time....
Originally posted by: Smilin
Originally posted by: Smilin
Imagine a treadmill the length of an entire runway. Assume takeoff speed for the plane is 100knots.
Now assume we have three "speedometers".
1) The Pitot on the aircraft nose that measures airspeed.
2) A traditional speedometer, just like a car, that is connected to the aircraft wheel.
3) A traditional speedometer connected to one of the rollers on the treadmill.
Now imagine this:
Plane fires up the engines and applies thrust.
The plane accelerates to 100knots of airspeed per the Pitot (speedometer #1).
If it was a normal runway the speedometer #2 on the wheel would also show 100knots.
Now imagine the treadmill is moving backwards at the same speed that the plane is moving forward.
speedometer #1 (airspeed, pitot) shows +100knots.
speedometer #3 (on treadmill) shows -100knots (100 knots backwards).
speedometer #2 (plane wheels) shows +200knots (wheel moving forward through the air at 100, while rolling over surface goign backwards at 100 = spinning at 200.
PLANE WOULD TAKE OFF BECAUSE THE AIRSPEED IS 100 KNOTS.
Now if you spin the treadmill at 100knots backwards and LOCK THE BRAKES on the planes wheels you'll get this:
speedometer #1 (airspeed, pitot) shows -100knots (100 knots backwards).
speedometer #3 (treadmill) shows -100knots (100 backwards)
speedometer #2 (plane wheels) shows 0 knots...the wheels are locked so the plane goes at whatever speed the treadmill is going.
The plane would not take off because it's going 100knots backwards (it would likely flip all over the place and fall off the treadmill)
Now if you spin the treadmill FORWARD at 100 knots while the planes engines are driving it forward:
speedometer #1 (airspeed) = 100 knots.
speedometer #3 (treadmill) = 100 knots.
speedometer #2 (wheels) = 0 knots (the ground/treadmill is moving at same speed as plane's propeller is moving it forward).
Now if you spin the treadmill FORWARD at 100 knots and lock the brakes on the plane you'll get:
#1 (airspeed) = 100
#3 (treadmill) = 100
#2 (wheels) = 0 (same as before, but now you've allowed the airplane to take off without using it's own engine for propulsion...it will of course slow down and stop flying very shortly thereafter).
Guys, my 55 year old mother gets this.