A) \[20{}^\circ \]
B) \[30{}^\circ \]
C) \[60{}^\circ \]
D) \[45{}^\circ \]
Correct Answer: D
Solution :
Here, \[l=2\pi r\] \[\Rightarrow \] \[r=\frac{l}{2\pi }=\frac{34.3}{3.14\times 2}\] Also \[v=\frac{l}{t}=\frac{34.3}{\sqrt{22}}\] The minimum velocity of a cyclist on a circular path is \[v=\sqrt{rg\tan \theta }\] \[\Rightarrow \] \[\tan \theta =\frac{{{v}^{2}}}{rg}=\frac{34.3\times 34.3}{22}\times \frac{3.14\times 2}{34.3\times 9.8}\] \[\Rightarrow \] \[\tan \theta =1=\tan 45{}^\circ \] So \[\theta =45{}^\circ \]
You need to login to perform this action.
You will be redirected in
3 sec
