Question

A curve that has a radius of 105 m is banked at an angle of 10.8 theta. If a 1100 kg car navigates the curve at 65 km/h without skidding, what is the minimum coefficient of static friction between the pavement and the tires?

Answer 1

The minimum coefficient of static friction between the pavement and the tires is approximately 0.190.

Step-by-step explanation:

To find the minimum coefficient of static friction between the pavement and the tires, we can use the equation:

(μs)min = tan(θ)

Where θ is the angle of banking.

First, we need to convert the speed of the car from km/h to m/s:

Speed = 65 km/h = 65 * (1000/3600) m/s = 18.06 m/s

Now we can substitute the given values into the equation:

(μs)min = tan(10.8) = 0.190

Therefore, the minimum coefficient of static friction between the pavement and the tires is approximately 0.190.