My Math Forum Circular Motion Question!

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 April 23rd, 2012, 03:45 AM #1 Newbie   Joined: Apr 2012 Posts: 1 Thanks: 0 Circular Motion Question! A car is traveling 10 m/sec on a road where friction is 70% of the car's weight. What is its minimun turning radius? This is 10th grade physics, thanks for your help!
 April 23rd, 2012, 05:01 AM #2 Member   Joined: Mar 2012 Posts: 60 Thanks: 0 Re: Circular Motion Question! For this problem you can refer to the case of circular motion. The magnitude of the acceleration is therefore a=-v^2/r. N II: F=m*a, where no sigma is needed since there is only one force acting in the horizontal plane. So, now you have: -0.7mg=m*a=-mv^2/r (negative sign on the left-hand-side of the equation since the positive direction points outward for polar coordinates.) In the above expression I have used the fact that the friction force is 70% of the cars weight, mg, along with the fact that it is a good approximation to assume the friction force to be the only force acting in the horizontal plane. The mass must not be zero for the problem to have a physical meaning, so it is safe to divide the expression by -m: 0.7g=v^2/r r=v^2/(0.7g) And there is your answer.

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