Physics Help Forum Circular motion "mu"

 Periodic and Circular Motion Periodic and Circular Motion Physics Help Forum

 Apr 29th 2009, 12:35 PM #1 Junior Member   Join Date: Jan 2009 Posts: 26 Circular motion "mu" I dont have a particular question but there was a question on a quiz that totally stumped me, I am writing the test on this unit tomorrow so any help is appreciated. the question was like. A car is traveling in a circle with radius of 17 metres, is .38, what is the maximum speed the car could travel and maintain its course. I figured it was something to do with friction force being = to centripetal force, but I dont have any formula's with other than ff = N. And you dont know N or ff. I assume you have to find centripetal acceleration first? is it ff=fc mu N= (mv^2)/r mu ma = (mv^2)/r mu a= v^2/r mu v^2/r = v^2/r 0.38 v^2/17 = v^2/17 Or something like that ?? Thank you. Last edited by brentwoodbc; Apr 29th 2009 at 12:43 PM.
 Apr 29th 2009, 03:30 PM #2 Member   Join Date: Jul 2008 Posts: 33 hi hi The friction force $\displaystyle F_{f} = \mu \cdot N$ in this case. For the car to maintain its course we need to have: $\displaystyle F_{c}=m\cdot \frac{v^{2}}{r} = \mu \cdot mg$ , if the car is driving on a flat road $\displaystyle N = mg$. Now you solve for the speed v. (Notice that the masses m cancel out). $\displaystyle v = \sqrt{r\cdot \mu \cdot g}$

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