A car is turing round a bend of radius 100m and banking angle 15 degrees. If the coefficient of static friction between the tyres and the road is 0.1, determine the range of speeds within which the car can turn safely round the bend.(adsbygoogle = window.adsbygoogle || []).push({});

Here is what I have done:

[tex] R sin \theta + f >= \frac{mv^2}{r} [/tex]

[tex] R sin \theta + \mu R >= \frac{mv^2}{r} [/tex]

[tex] R (sin \theta + \mu) >= \frac{mv^2}{r} [/tex]

[tex] mg cos \theta ( sin \theta + \mu) >= \frac{mv^2}{r} [/tex]

[tex] v<= \sqrt{rgcos\thata (sin\theta +\mu)} [/tex]

[tex] v<= 18.6 ms^{-1} [/tex]

I don't know how to find the other one range, and the answer is 12.7 < v< 19.6....I am confused...please help..

**Physics Forums - The Fusion of Science and Community**

# Car turning round

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

Have something to add?

- Similar discussions for: Car turning round

Loading...

**Physics Forums - The Fusion of Science and Community**