Question

A curve that has a radius of 105 m is banked at an angle of 10.8°. 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 0.19.

Step-by-step explanation:

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

μs = tan(θ)

Where:

• μs is the coefficient of static friction
• θ is the angle of inclination of the banked curve

Given that the angle of inclination is 10.8°, we can calculate:

μs = tan(10.8°) ≈ 0.19

Therefore, the minimum coefficient of static friction between the pavement and the tires is approximately 0.19.