(4). a) How fast should a 1,150 kg car move to make a circular turn of radius 48m on a flat concrete road, if the coefficient of friction between the tires and the road is 0.56? Purpose is to avoid skidding. (b) How fast should a 1,150 kg car move to make a circular turn of radius 56 m on a banked road elevated 9° with respect to the horizontal.

how fast can you drive around a circle with a diameter of 30 meters when the static coefficient of friction is 0.15. assume the circle in question is perfect (no bumps or hills)

Engineering a highway curve. If a car goes through a curve too fast, the car tends to slide out of the curve. For a banked curve with friction, a frictional force acts on a fast car to oppose the tendency to slide out of the curve; the force is directed down the bank (in the direction water would drain). Consider a circular curve of radius R = 180 m and bank angle 8, where the coefficient of static friction between tires and pavement is µs. A car (without negative lift) is driven around the curve as shown in Figure (a). Find an expression for the car speed Vmax that puts the car on the verge of sliding out, in terms of R, 0, and us. Evaluate Vmax for a bank angle of = 10° and for (a) μ = 0.51 (dry pavement) and (b) µs = 0.050 (wet or icy pavement). (Now you can see why accidents occur in highway curves when icy conditions are not obvious to drivers, who tend to drive at normal speeds.) (a) Number i 36.5 (a) Units R m/s^2 EN FN 8 FNr Car