Does the angle of banking depend on the mass of the vehicle

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer See Answer See Answer done loading Question:REFLECT The banking angle depends on the speed as well as the radius, but not on the mass of the vehicle. (Mass does not appear in the equation.) That's why it's possible to construct banked curves that work for both cars and trucks, provided that the vehicles do not drive too fast. Highway designers assume friction will be available under good driving REFLECT The banking angle depends on the speed as well as the radius, but not on the mass of the vehicle. (Mass does not appear in the equation.) That's why it's possible to construct banked curves that work for both cars and trucks, provided that the vehicles do not drive too fast. Highway designers assume friction will be available under good driving conditions and bank curves at angles smaller than ß. Practice Problem: What is the ideal speed for a car to travel along a curve banked at an angle of ß = 8.5° if the curve has a radius of 70 m? Answer: 10 m/s. Video Tutor Solution EXAMPLE 6.4 Rounding a banked curve Now we will look at the related example of a banked curve. In this case it is the normal force man provides the needed radial acceleration. This allows the vehicle to negotiate the curve without having so that at a certain solely on friction. An engineer proposes to rebuild the curve in Example 6.3, banking it so that, aface speed, no f...

Expression for angle of banking: i. The angle made by the surface of road with horizontal surface of road is called angle of banking. It is given by angle θ. ii. Consider a vehicle of mass m moving with speed v on a banked road banked at an angle θ as shown in the figure. iii. Let F be the frictional force between tyres of the vehicle and road surface. The forces acting on the vehicle are a. Weight mg acting vertically downward. b. Normal reaction N in upward direction through C.G. The frictional force between tyres of vehicle and road surface can be resolved into, Fcosθ - along horizontal direction Fsinθ- along vertically downward direction. iv. The normal reaction N can be resolved into two components: a. Ncosθalong vertical direction b. Nsinθalong horizontal direction. v. The component Ncosθbalances the weight mg of vehicle and component Fsinθof frictional force. \(\therefore\) Ncosθ= mg + Fsinθ \(\therefore\) Ncosθ-Fsinθ= mg ….(1) vi. The horizontal component Nsinθalong with the component Fcosθ of frictional force provides necessary centripetal force \(\cfrac\)......(7) x. Comparing equation (6) and (7) it is concluded that maximum safe speed of vehicle on a banked road is greater than that of curved horizontal road/level road. xi.If μ s = 0, then equation (7) becomes, At this speed, the frictional force is not needed to provide necessary centripetal force. There will be a little wear and tear of tyres, if vehicle is driven at this speed on banked road. v o is called a...