First slide

Circular motion in horizontal plane

Question

A cyclist on a level road takes a sharp circular turn of radius 3m ( $g = 10 m s^{- 2}$ ). If the coefficient of static friction between the cycle tyres and the road is 0.2, at which of the following speeds will the cyclist not skid while taking the turn ?

Moderate

Solution

$\begin{array}{l} V_{\max} = \sqrt{μ g r} = \sqrt{0.2 \times 10 \times 3} = \sqrt{6} m / s = 2.45 m / s \\ V_{\max} = 8.8 k m / h r \end{array}$
$∴$ With $7.2 k m h^{- 1}$ the cyclist will not skid.

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