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A circular racetrack of radius \(300~\text m\) is banked at an angle of \(15^\circ.\) If the coefficient of friction between the wheels of a race-car and the road is \(0.2,\) what is the (a) optimum speed of the race-car to avoid wear and tear on its tyres, and (b) maximum permissible speed to avoid slipping?
| 1. | \(v_0=28.1~\text{m/s}\) and \(v_{max}=38.1~\text{m/s}\) |
| 2. | \(v_0=38.1~\text{m/s}\) and \(v_{max}=28.1~\text{m/s}\) |
| 3. | \(v_0=0~\text{m/s}\) and \(v_{max}=28.1~\text{m/s}\) |
| 4. | \(v_0=38.1~\text{m/s}\) and \(v_{max}=100~\text{m/s}\) |
Subtopic: Â Banking of Roads |
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