To clarify: The radius is not given in thisproblem. WILL RATE LIFESAVER! The ave

Question

To clarify: The radius is not given in thisproblem. WILL RATE LIFESAVER! The average Nascar race car weights 3400lbs. At a recent Nascar race the cars went flying around the bankedcurves at a raceway. The banking of the turns at the raceway are31^degree. Hint 1: you will want to convert the units given to kg and m/sfirst. Hint 2: Find the component of the normal force in the verticaldirection and horizontal directions. The horizontal component ofthe normal force supplies the needed centripetal force in this case(and not having to rely on friction force). (a) What is the centripetal force on the car that keeps it goingaround the curve at a speed of 230mph? (b) Suppose the curve was not banked. For the same radius, whatcentripetal force will be needed to keep the car going around thecurve at the same speed of 230 mph? Note:in the case of an unbanked curve, friction force will be needed toprovide the centripetal force. This was my thought process going into thisproblem: 230mph = 102.81 m/s 3400lbs = 1542 kg I found the components of Normal force to be: FNx = Nsin(31) FNy = Ncos(31) But technically, isn^'t FNy=mg? So Ncos(31)=mg, in which I solvedfor N: N=15127/cos(31)=17647.66 N So since Nx = Fc, I did: F_c=Nsin31 F_c=17647.66sin(31) F_c=9089.21 N Problem here is I didn^'t use the velocity anywhere...what am Idoing wrong, am I completely off? I will rate lifesaver!

Explanation / Answer

No, you're not off. Your solution is correct, though there'ssome round-off error. I get an answer of 9081 N. The speed is not needed to solve part (a). It will be neededto solve part (b). The radius does not need to be given tosolve this problem.

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