Answer to Question #345891 in Physics for gello

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

Given:

$\mu=0.5$

$v=30\:\rm mi/hr=13.4\: m/s$

$ma=F$

$\frac{mv^2}{R}=\mu N=\mu m g$

$R=v^2/(\mu g)\\ =(13.4)^2/(0.5*9.8)=37\:\rm m$