an indoor track is to be designed such that each end is banked semi-circle with a radius of 24m. what should the banking angle be for a person running at a speed of 6.0m/s?

Question

anonymous · Answer

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Notice this question involves centripetal force. From the diagram, it shows that the centripetal force, $F_c={F_N} sin \theta$ 
And since $F_c=m\frac{v^2}{r}$, where v and r are given, it should be appropriate that you start by solving $F_N$
Also note that $F_g cos \theta = F_N$
However I think the question misses the weight of the person.