High School

A circular road has a radius of 1000 m and a banking angle of 45°. What is the maximum safe speed of a car with a mass of 2000 kg, given that the coefficient of friction between the tires and the road is 0.5?

A. 172 m/s
B. 124 m/s
C. 99 m/s
D. 86 m/s

Answer :

The maximum safe speed of a car rounding a banked curve can be calculated using the coefficient of friction, radius, and banking angle, resulting in 99 m/s as the answer.

The maximum safe speed of a car rounding a banked curve can be calculated using the coefficient of friction, radius of the curve, and banking angle.

To find the speed, you can use the formula: Speed = square root of (radius x g x tan(banking angle)), where g is the acceleration due to gravity. Plugging in the values, the maximum safe speed for the given scenario will be around 99 m/s (Option C).

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