Question #200752

A popular exhibition among riders in the Philippine is the “banking sa curvada” which is a feat that takes advantage of the structure of the curved road. Originally built for race tracks, the banking is adopted in curved national roads and highways to maximize tire-road friction which keeps the vehicle from tumbling out of the road. Suppose a curvada with a radius of 150m is banked at the right angle for a maximum speed of 25 m/s. At this speed, what is the coefficient of friction between the road and the tire?


Expert's answer

Gives

V=25m/sec


Radius

R=150 m

Friction Cofficient =μ\mu



We know that

Curved road obtained maximum speed

Vmax2=μRg{V_{max}}^2=\mu Rg

μ=Vmax2Rg\mu=\frac {V^2_{max}}{Rg}

Put value

μ=252150×9.8\mu=\frac{{25}^2}{150\times 9.8}

μ=0.425\mu=0.425


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