Question

A boy on a cycle pedals around a circle of 20 metres radius at a speed of The combined mass of the boy and the cycle is 90 kg. The angle that the cycle makes with the vertical so that it may not fall is $(g=9.8m/se{c}^2)$

• A. ${60.25}^{\circ }$
• B. ${63.90}^{\circ }$
• C. ${26.12}^{\circ }$
• D. ${30.00}^{\circ }$

Answer 1

The correct option is B ${63.90}^{\circ }$

$tan\theta =\frac{v^2}{rg}=\frac{400}{20\times 9.8}\Rightarrow \theta ={63.9}^{\circ }$