NEET-XII-Physics
07: Circular Motion
- #6A 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?Ans : 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:
`` \,\mathrm{\,tan \,}\theta =\frac{{v}^{2}}{rg}``
`` \Rightarrow \theta ={\,\mathrm{\,tan \,}}^{-1}\left(\frac{25}{100}\right)``
`` \Rightarrow \theta ={\,\mathrm{\,tan \,}}^{-1}\left(\frac{1}{4}\right)``
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