A car can negotiate an unbanked curve safely at a certain max speed when the coefficient of static friction between the tires and the ground is 0.88. At what angle should the same curve be banked for the car to negotiate the curve safely at the same maximum speed without relying on friction?(adsbygoogle = window.adsbygoogle || []).push({});

2. Relevant equations

Normal force = N

angle = Q

friction = f

NycosQ = mg + fsinQ

NxsinQ + fcosQ = mvˆ2/r

3. The attempt at a solution

Both equations simiplify to:

vˆ2 = gr*((sinQ + μcosQ)/(cosQ - μsinQ))

I know I am suppose to find the speed first, which I have no idea how to find. Then, how would I find the angle?

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# Banked Curves

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