Question

The curved section of a horizontal highway is a circular unbanked arc of radius 740 m. If the coefficient of static friction between this roadway and typical tires is 0.40, what would be the maximum safe driving speed for this horizontal curved section of highway?

Can someone please show me how to do this? I don't understand how I'm suppose to calculate the velocity without mass being given to me. Can you find mass from the static friction coefficient?

Answer 1

\[\tan \theta=\frac{ v ^{2} }{ gr }\] where v is the velocity, g is the acceleration due to gravity and r is the radius.