Legend

 ac = centripetal acceleration v = velocity r = radius Fc = centripetal force m = mass FN = normal force Ff = force of friction Fg = force of gravity

 Problem: If a road's stastic coefficient is 0.5.   And the radius of the curve is 50 m.  What is the greatest speed a car can travel without skidding out of the road? Background Info: As we have derived from the curve section:g = v2/r As a result, we see that the greater the of the road is, the faster a car can travel without skidding.  And the car can travel in a small radius of a curve without skidding. Calculations: = 0.5 r = 50 m 9 = 9.8 m/s2We have: g = v2/r Rearrange it: v2 = gr vmax = vmax = vmax =15.65 m/s Calculations:

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 Banked Curves Formulas

 created by Will Kuo and Stan Watterson thinkquest participants  team 25844 ©1999 Eloquent Logic. All rights reserved.