An engineer wants to design a circular racetrack of radius r such that cars of mass M can go around the track at speed u without the aid of friction or other forces other than the perpendicular contact force from the track surface Find an expression for the required banking angle 0 of the track, measured from the horizontal. Express the answer in tan terms of M, r, u, and g rg Suppose the race cars actually round the track at a speed W > u. What additional radial force F, is required to keep M(W-u)2 Mu F = r the cars on the track at this speed? Express the answer in terms of M, r, u, W, and g.

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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.