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Question
A park has a radius of 10 m. If a vehicle goes round it at an average speed of 18 km/hr, what should be the proper angle of banking?
Solution
Given:
Speed of the vehicle = v = 18 km/h = 5 m/s
Radius of the park = r = 10 m
Let the angle of banking be \[\theta\]
Thus, we have : \[\tan\theta = \frac{\text{v}^2}{\text{rg}}\]
\[\Rightarrow \theta = \tan^{- 1} \left( \frac{25}{100} \right)\]
\[ \Rightarrow \theta = \tan^{- 1} \left( \frac{1}{4} \right)\]
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