InterviewSolution
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InterviewSolution
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A track for a certain motor sport event is in the form of a circle and banked at an angle θ. For a car driven in a circle of radius r along the track at the optimum speed, the periodic time is(A) \(\sqrt{\frac{r}g}\)(B) 2\(\pi\)\(\sqrt{\frac{r}g}\)(C) 2\(\pi\)\(\sqrt{\frac{r}{g\,tan\theta}}\) (D) 2\(\pi\)\(\sqrt{\frac{r\,tan\theta}{g}}\) |
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Answer» Correct Option is (C) \(2 \pi \sqrt{\frac{r}{g \ tan \theta}}\) We know that T = \(T =\frac{2 \pi r}{v}\) \(\because v = \sqrt{rg \ tan \theta} \) \(T = \frac{2 \pi r}{\sqrt{rg \ tan \theta}}\) \( T = 2 \pi \sqrt{\frac{r}{g \ tan \theta}}\) (C) 2\(\pi\)\(\sqrt{\frac{r}{g\,tan\theta}}\) |
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