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Answer to Question #18801 in Mechanics | Relativity for Nall

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

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