Question

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. $ta{n}^{-1}\left(\frac{1}{10}\right)$
• B. $ta{n}^{-1}\left(\frac{3}{5}\right)$
• C. $ta{n}^{-1}\left(1\right)$
• D. $ta{n}^{-1}\left(\frac{1}{5}\right)$

Answer 1

The correct option is D $ta{n}^{-1}\left(\frac{1}{5}\right)$

The inclination of person from vertical is given by,
$tan\theta =\frac{v^2}{rg}=\frac{(10{)}^2}{5\times 10}=\frac{1}{5}\therefore \theta =ta{n}^{-1}\left(\frac{1}{5}\right)$