CENTRIPETAL FORCES: FLAT & BANKED CURVES EXAMPLE 1 ...

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CENTRIPETAL FORCES: FLAT & BANKED CURVES. EXAMPLE 1: Find the maximum speed that a 800 kg car can have while going a
CENTRIPETAL FORCES: FLAT & BANKED CURVES EXAMPLE 1: Find the maximum speed that a 800 kg car can have while going around a flat curve of radius 50 m (without slipping) if the coefficient of friction between the car and the road is 0.5.

EXAMPLE 2: (a) Find the maximum speed that a 800 kg car can have while going around a banked, frictionless curve of radius 50 m that makes an angle of 37o with the horizontal. What would happen if the car moves: (b) slower; (c) faster?

PRACTICE 1: You are designing a highway curve to allow cars to turn, without any banking, at a maximum speed of 50 m/s. The average coefficient of friction between cars and asphalt, for dry roads, is roughly 0.7. What radius would this curve have to have, for this to be possible?

PRACTICE 2: For the radius you just found, how much would you have to bank the same curve, in order to attain the same maximum speed, but at the absence of friction?