Calculate the minimum coefficient of friction needed to negotiate the curve.

Question

A car negotiates an unbanked 80.7 m radius curve at 23.4 m/s.

Answer 1

r =80.7 m, v = 23.4 m/s

Centripetal force (F_c) is provided by

static friction (μ_smg) between

the tires and the road.

Centripetal Force and Static Friction

F_c = mv²/r = μ_smg

Centripetal Acceleration

a_c = v²/r = μ_sg

Coefficient of Static Friction

μ_s = v²/rg = (23.4 m/s)²/(80.7 m)(9.8 m/s²)

μ_s = 0.692