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Question

A circular racket of radius 300 m is backed at an angle of 150. The coefficient of friction between the wheels of a race car and the road is 0.2. The optimum speed of the car to avoid wear and tear on its tyres is then
( Take tan 150=0.27,g=10ms2)

A
103ms1
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B
910ms1
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C
10ms1
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D
210ms1
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Solution

The correct option is B 910ms1
We know that
optimum velocity for vehicle on banked road is given by

V0=Rg(u+tanθ1μtanθ)

Where

R Radius of curve =300m

u coefficient of friction =0.2

tanθ=tan15=0.27

V0=300×10(0.2+0.2710.2×0.27)

V0=3000(0.470.0946)

V0=27.21m/s910

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