NEET-XII-Physics
07: Circular Motion
- #8A circular road of radius 50 m has the angle of banking equal to 30°. At what speed should a vehicle go on this road so that the friction is not used?Ans : Given:
Angle of banking = θ = 30°
Radius = r = 50 m
Assume that the vehicle travels on this road at speed v so that the friction is not used.
We get:
`` \,\mathrm{\,tan \,}\theta =\frac{{v}^{2}}{rg}``
`` \Rightarrow \,\mathrm{\,tan \,}30°=\frac{{v}^{2}}{rg}``
`` \Rightarrow \frac{1}{\sqrt{3}}=\frac{{v}^{2}}{rg}``
`` \Rightarrow {v}^{2}=\frac{rg}{\sqrt{3}}=\frac{50\times 10}{\sqrt{3}}``
`` \Rightarrow v=\sqrt{\frac{500}{\sqrt{3}}}=17\,\mathrm{\,m \,}/\,\mathrm{\,s \,}``
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