3. In Japan, some road curves are marked with their radius of curvature, in addition to the speed limit of that curve. For instance, a sign will indicate a curve whose speed limit is 88. km/hr and a radius of curvature of 230. m. The coefficient of friction of wet asphalt is 0.40. Set up the "sum of forces" equations that will allow you to calculate the minimum bank angle necessary to keep the car moving at the speed limit on the curve safely on the wet road, then calculate that bank angle. Hint: you may have to solve the equation iteratively.