Question

A car goes around a curve on a road that is banked at an angle of 35.0 ∘. 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 23.0 m/s. What is the radius of the curve?

Answer 1

The radius of curve is 77.09 meters.

Step-by-step explanation:

Speed of the car, v = 23 m/s

A car goes around a curve on a road that is banked at an angle of 35 degrees. The angle of banking is given by the formula as :

`\tan\theta=(v^2)/(rg)\\\\r=(v^2)/(g\tan\theta)\\\\r=((23)^2)/(9.8* \tan(35))\\\\r=77.09\ m`

So, the radius of curve is 77.09 meters.