A 1900 kg car rounds a curve of radius 70 m banked at an angle of 12°. What is the magnitude of the friction f?
A 1900 kg car rounds a curve of radius 70 m banked at an angle of 12°. What is the magnitude of the friction force required for the car to travel at 86 km/h?
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Verified answer
86000 m / 3600 = 23.88 m/s
A = V^2 / R = 570.68 / 70 = 8.15 m/s/s
Force: Y = 1900*9.8 = 18,620 N , X = 1900*8.15 = 15485 N
ARC TAN 8.15 / 9.8 = 39.75 deg.
Resultant Force: = SQRT( Y^2 + X^2) = 24217 N@ 39.75 deg.
Friction Force = SIN ( 39.75 - 12) * 24,217 = 11275 Newtons