First slide

Circular motion in horizontal plane

Question

A car is driven round a curved path of radius 18m without the danger of skidding. The coefficient of friction between the tyres of the car and the surface of the curved path is 0.2. What is the maximum speed in kmph of the car for safe driving ? (g = 10ms^–2)

Moderate

A

21.6 kmph
B

18.5 kmph
C

25.4 kmph
D

28.6 kmph

Solution

${V_{\max }} = \sqrt {\mu rg} = \sqrt {0.2 \times 18 \times 10} \;m/s$
${V_{\max }} = \sqrt {2 \times 18} = \sqrt {36} = 6\;m/s$
${V_{\max }} = 6 \times \frac{{18}}{5} = 21.6kmph$

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