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Unread 03-01-2009, 20:19
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Lesman Lesman is offline
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FRC #1014 (Bad Robot)
Team Role: Engineer
 
Join Date: Feb 2008
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Re: How can we drive on this new floor?

There seems to be a lot of confusion going on about some physics, I think this should help:
ForceFriction = Mass*Gravity*CoefficientOfFriction
surface area is not a part of the calculation, as increased surface area means the normal force (force of the ground pushing up) is more spread out.
Force = Mass*Acceleration
thus
Mass*Gravity*CoefficientOfFriction = Mass*Acceleration
mass cancels
Gravity*CoefficientOfFriction = Acceleration
which shows that maximum acceleration is a function of nothing more than Gravity and the Coefficient of Friction, neither of which can be changed. Any team that powers all wheels in contact with the ground will have a top acceleration of .588 assuming no slippage (.06 cof) or .49 with slipping (.05 cof). The top speed assuming you drive straight across the regolith is approximately 2.2 meters per second, or about 5 miles per hour. The trip would take about 4.5 seconds.
By the way, where is everybody getting the coefficients of friction? How accurate are they? Doe anybody know the cof of the wheels on carpet?
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