Kinematics Question 766

Question: A cyclist goes round a circular path of circumference 34.3 m in $ \sqrt{22} $ sec. the angle made by him, with the vertical, will be [MH CET 2000]

Options:

A) $ 45^{o} $

B) $ 40^{o} $

C) $ 42^{o} $

D) $ 48^{o} $

Show Answer

Answer:

Correct Answer: A

Solution:

$ 2\pi r=34.3 $

therefore $ r=\frac{34.3}{2\pi } $ and $ v=\frac{2\pi r}{T}=\frac{2\pi r}{\sqrt{22}} $ Angle of binding $ \theta ={{\tan }^{-1}}( \frac{v^{2}}{rg} )=45{}^\circ $



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