dfalcon
Posts: 214
Joined: 10/26/2004 From: Bozeman,
MT, USA Status: offline
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quote:
...even if it means the wheels get dragged at some point. a;; that stuff about friction etc just complicates matters needlessly. that stuff about friction is a necessary part of the problem. quote:
I'll challenge that "correct answer". F=Ma a=(thrust/wt) - (wheel axle friction) axle friction is negligible, unless you've included it as a form of friction (which it is at a molecular level) you've forgotten the rolling resistance from tire deformation. rolling resistance is substantial and measurable. think of your car for instance, (and no, i'm not stating that the plane is applying power to the treadmill through it's wheels) if the pressure in your tires is 5 psi low, your tires must deform more than normal and fuel economy can be cut by 10%. also, someone earlier mentioned the original problem, "the treadmill exactly matches the airplanes speed." after trying it's hardest to take off for a while, the bearings in the axles have potential to reach extremely high temperatures. i know bearings are there to reduce friction, but they can not eliminate all friction. mechanical energy lost due to the minute amount of friction in the greased bearings is dissipated as heat energy, which can build up over time and (hey, here's a new problem) cause the viscosity of the grease in the bearings to break down, rendering it useless. now we have axle friction that is not negligible. oops, i forgot to start this post with, "now i don't mean to get off on a rant here, but...." the plane will never take off if the treadmill performs as originally stated in the problem.
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