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?
Gives
V=25m/sec
Radius
R=150 m
Friction Cofficient ="\\mu"
We know that
Curved road obtained maximum speed
"{V_{max}}^2=\\mu Rg"
"\\mu=\\frac {V^2_{max}}{Rg}"
Put value
"\\mu=\\frac{{25}^2}{150\\times 9.8}"
"\\mu=0.425"
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