Derive the expression for the maximum speed of a car in circular path , for safe driving .
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To make the turning of vehicles on the curved road safer, the outer edge of the road is raised above the inner edge making some inclination with the horizontal.This is known as banking of roads
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- Suppose of ·car of mass (m) is moving with velocity an a level circular road of radius r
- mg CR-R₁ + R₂) .. (1)
- @centripetal force mv², this act
- towards the Centre
- If the friction carce is f. and the coefficient of static friction is hely
- F=p₂ R₁
- Swhere R = R₁ + R₂.
- from eq
- ie
- Vmax=
- ... (2)
- proved
- Maximum speed for
- Hence
- Safe driving
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