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A car goes around a curve on a road that is banked at an

Chapter 6, Problem 58P

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QUESTION:

Problem 58P

A car goes around a curve on a road that is banked at an angle of 33.5°. Even though the road is slick, the car will stay on the road without any friction between its tires and the road when its speed is 22.7 m/s. What is the radius of the curve?

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QUESTION:

Problem 58P

A car goes around a curve on a road that is banked at an angle of 33.5°. Even though the road is slick, the car will stay on the road without any friction between its tires and the road when its speed is 22.7 m/s. What is the radius of the curve?

ANSWER:

Step 1 of 4

A car goes on a banked curved road at an angle ?. The tires and the road don’t have friction between them. The speed required for the car to stay on the road is given. We are going to find the radius of the curve.

The speed of the car v = 22.7 m/s

The angle of inclination of the banked road ? = 33.5°

The acceleration due to gravity g = 9.81 m/s2

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