derive the expression for maximum safe speed on a curved level road
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The equation "µ = v^2 / rg" gives the maximum velocity with which the car can take a turn of radius rs, when the coefficient of friction between the tyres and the road is equal to r. The total force of friction provides the necessary centripetal force
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However, fs has an upper limit (fs)max = µsN, where μs is the coefficient of static friction between the road and the tyres of the vehicle. This imposes an upper limit to the speed v. This is an expression of maximum safety speed with which a vehicle should move along a curved horizontal road.
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