Question

If the coefficient of friction between tires and roadway is 0.50, what is the smallest radius at which

a car can turn on a horizontal road when its speed is 30 miles/hour?

Answer 1

$$ma=F$$ $$\frac{mv^2}{R}=\mu mg$$

$$R=\frac{v^2}{g}=\frac{(13.4\:\rm m/s)^2}{9.8\:\rm m/s^2}=18.3\:\rm m$$