A 1500 kg car rounds a horizontal curve with a radius of 52 m at a speed of 12 m/s. what minimum coefficient of friction must exist between the road and tires to prevent the car from slipping?

The minimum coefficient of friction must exist between the road and tires to prevent the car from slipping is μ = 0.28

Explanation:

m = 1500 kg

r = 52m

Vt = 12m/s

g = 9.8 m/s²

Vt = ω * r

ω = Vt/r

ω = 0.23 rad/s

ac = ω² * r

ac = 2.77 m/s²

Fr = m * ac

Fr = 4153.84 N

W = m*g

W = 14700 N

Fr = μ * W

μ = Fr/W

μ=0.28