Question #18801

A car is traveling lat 50 km/h on a level road where the coefficent of static friction between its tires and the road is 0.70
Find minimum turning radius of the car

Expert's answer

the minimum radius is the radius when friction force isequal to centrifugal.

Friction force

F_ f = mg*mu,

mu is coefficient of friction.

Centrifugal force is

F_c = m v^2/r

r is minimum radius, So we have

F_f=F_c

mg*mu = m v^2/r

r=v^2/g*mu

r=50^2/(9.8*0.7)=**364.43 m**

**minimum radius is 364.43 m **

Friction force

F_ f = mg*mu,

mu is coefficient of friction.

Centrifugal force is

F_c = m v^2/r

r is minimum radius, So we have

F_f=F_c

mg*mu = m v^2/r

r=v^2/g*mu

r=50^2/(9.8*0.7)=

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