First slide

Circular motion in horizontal plane

Question

A car moving at 18 kmph tries to round a corner in a circular arc of 8 m radius on flat roadway. How large must be the coefficient of friction between wheels and roadway if the car is not to skid?

Moderate

A

0.22
B

0.52
C

0.12
D

0.32

Solution

$\begin{array}{l} v = 18 \times \frac{5}{18} = 5 m / s \\ μ = \frac{v^{2}}{r g} = \frac{25}{8 \times 9.8} = 0.32 \end{array}$

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