Question

A cycle can bend upto a maximum angle of ${45}^{\circ }$. If the radius of the bend is $10\text{m}$, then what should be the maximum speed of the cyclist so that he does not crash?

• A. $10\text{m/s}$
• B. $15\text{m/s}$
• C. $10\text{km/h}$
• D. $15\text{km/h}$

Answer 1

The correct option is A $10\text{m/s}$

To avoid crashing, the condition is
$\tan \theta =\frac{v^2}{rg}$
For maximum speed,
$\Rightarrow \tan {45}^{\circ }=\frac{v_{max}^2}{10\times 10}$
$\Rightarrow v_{max}=\sqrt{100}=10\text{m/s}$