A 13552.2 N car traveling at 52.2 km/h rounds a curve of radius 1.68 102 m..
What is the minimum coefficient of static friction (μs) between the tires and the road that will allow the car to round the curve safely?
Frictional force is given by F=μW where μ is the coefficient of friction and W is the weight (13552.2N here).
The centripetal force required to prevent slipping is F=mv2r where m is the mass (=W/g), v is speed and r is radius.
Equating these two forces we have: μW=Wgv2r so μ=v2gr
v = 52.2*103/3600 m/s, r = 1.68*102m and g = 9.81m/s2.
(522003600)2(9.81×1.68×102)=0.1250712653392992
So μ=0.125 approx.
Frictional force is given by F=μW where μ is the coefficient of friction and W is the weight (13552.2N here).
The centripetal force required to prevent slipping is F=mv2r where m is the mass (=W/g), v is speed and r is radius.
Equating these two forces we have: μW=Wgv2r so μ=v2gr
v = 52.2*103/3600 m/s, r = 1.68*102m and g = 9.81m/s2.
(522003600)2(9.81×1.68×102)=0.1250712653392992
So μ=0.125 approx.