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 | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Car turning round

**Physics Forums | Science Articles, Homework Help, Discussion**