A) \[30{}^\circ \]
B) \[{{\tan }^{-1}}\left( \frac{1}{2} \right)\]
C) \[60{}^\circ \]
D) \[45{}^\circ \]
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, \[v=10\text{ }m/s,\text{ }r=10\text{ }m,\text{ }g=10\text{ }m/{{s}^{2}}\] \[\therefore \] \[\tan \theta =\frac{10\times 10}{10\times 10}=1\] \[\Rightarrow \] \[\theta ={{45}^{o}}\]
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