A person with his hands in his pockets is

Your Ultimate Guide to JEE & NEET Question Solutions

A person with his hands in his pockets is skating on ice at the velocity of $10 \,m/s$ and describes a circle of radius $50\, m$. What is his inclination with vertical

A

${\tan ^{ - 1}}\left( {\frac{1}{10}} \right)$

B

${\tan ^{ - 1}}\left( {\frac{3}{5}} \right)$

C

${\tan ^{ - 1}}(1)$

D

${\tan ^{ - 1}}\left( {\frac{1}{5}} \right)$

A person with his hands in his pockets is skating on ice at the velocity of $10 \,m/s$ and describes a circle of radius $50\, m$. What is his inclination with vertical

The inclination of person from vertical is given by,

$\tan \theta = \frac{{{v^2}}}{{rg}} = \frac{{{{(10)}^2}}}{{50 \times 10}} = \frac{1}{5}$ 

$⇒$ $\theta = {\tan ^{ - 1}}(1/5)$