Originally posted by SaburoS
Argue all you want; here is proof that the force exists.
Okay here we go:
Example #1.
Here you have a belt sander starting off at full speed almost instantaneously.
a) Why is the belt sander dictating the wheel speed?
b) Isn't it supposed to react to the wheel and not the other way around?
c) The conveyor belt in this example is the sole source of power here.
d) Remember the conveyor's belt speed is to match the wheel's speed, not the other way around.
e) Now try your experiment in a real world fashion in that the wheel is being pushed forward at a realistic acceleration rate (starts off at zero and gradually increases in speed from there (to match the wheel's speed).
f) Then try this one. Pull the wheel back against the spring tension. Bring the sander to full speed and let the wheel and belt match their respective speeds. Let go of the wheel. What happens?
g) The moment you allow the conveyor to dictate the wheel rpm speed, you go outside of the intention of the original question.
h) Remember that unless the aircraft actually starts rolling forward, the wheel speed is zero, hence the conveyor's speed is zero. The conveyor is always going to have to react to match, not create a greater force to bring the plane back to its starting position. It's a losing battle for the conveyor as the wheel speed is going to increase by virtue of the plane's ground speed increasing. Remember that the wheels are powered by the forward movement of the aircraft, not by engine torque.
Example #2
Again you load up the test to prove a point that will not be valid for the question.
The glass ball, tube with rubber bands, and the rubber ball(?) is starting at rest. The paper starts out at full force. Notice that non of the objects have an external force acting on them to accelerate?
You are confusing the question of 'matching the wheel's speed' to that of 'neutralizing the forward movement of the plane.'
Again, in the original question the aircraft's
forward movement dictates wheel speed which will then dictate conveyor runway speed, not the other way around.
Go you get this principal? [/B][/QUOTE]
I used the sander and paper treadmill because they were easy to build with household items and they illustrate the forces involved that most people could not see. The sander must start at rest, because the only time the force described can be shown is while it accelerates; a constant speed does not show the effect. Looking at the clip frame by frame shows that the acceleration phase may be about ½ a second (around 15 frames out of 30 fps). Also note that the wheel is being pulled to the left by a rubber band that is stretched during acceleration. The rubber bands represent the force of the plane’s motor. Of course all forces are greatly skewed, but that doesn’t matter. The force exists and can be increased in acceleration rate and duration.
If the original question had a twist that stated that the conveyor had a governor that limited its speed to max-out at 100,000 mph, the system would hold the plane in place until the conveyor reached 100,000 mph, at that point it would hold steady at 100,000 mph and the plane would then take off normally!