Banked curves are designed so that the radial component of the normal force on the car rounding the curve provides the centripetal force required to execute uniform circular motion and safely negotiate the curve. A car rounds a banked curve with banking angle ? = 23.2° and radius of curvature 168 m. (a) If the coefficient of static friction between the car's tires and the road is ?s = 0.393, what is the range of speeds for which the car can safely negotiate the turn without slipping? vlow=?  m/s. vhigh= ? m/s  b)What is the minimum value of ?s for which the car's minimum safe speed is zero? Note that friction points up the incline here.

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Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.