A) \[{{30}^{o}}\]
B) \[{{\tan }^{-1}}\left( \frac{1}{2} \right)\]
C) \[{{60}^{o}}\]
D) \[{{45}^{o}}\]
Correct Answer: D
Solution :
Angle of banking is given by \[\tan \,\,\theta =\frac{{{v}^{2}}}{rg}\] where v is velocity, r the radius of circular path and g acceleration due to gravity. Given, \[v=10\,m/s,\,\,\,\,\,\,r=10m,\,\,\,\,g=10\,m/{{s}^{2}}\] \[\therefore \] \[\tan \,\,\theta =\frac{10\times 10}{10\times 10}=1\] \[\Rightarrow \] \[\theta ={{45}^{o}}\]
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