A curve of radius 78m is banked for a design speed of 85kph. If the coefficient of static friction is 0.30, what is the maximum speed can a car safely make a curve in terms of kilometer per hour?
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- Two banked curves have the same radius. Curve A is banked at 13.9 °, and curve B is banked at an angle of 18.1 °. A car can travel around curve A without relying on friction at a speed of 13.7 m/s. At what speed can this car travel around curve B without relying on friction?How large must the coefficient of static friction be between the tires and the road if a car is to round a level curve of radius 85m at a speed of 26.4 m/s? Assume that the tires are not slipping , but about to break free. (Answer =0.84)A curve in a stretch of highway has radius 512 m. The road is unbanked. The coefficient of static friction between the tires and road is 0.700. When the car enters the curve at a speed greater than the maximum safe speed (speed at which the car won’t skid), which of the following statements are correct?
- In 1959, Daytona Speed was added to the NASCAR racing circuit and introduced 31° banked curves for racing. This allowed stock cars to reach much higher speeds (around 200 mph) during a race. Today the steepest banked curves are found at Talladega Motor Speed Way at 33° with a turn radius of 1100 ft. The flattest track in NASCAR is Hew Hampshire Motor Speed Way with banked curves of 7° with a turn radius of 410 ft. a) Assuming no friction, what are the max speeds (in mph) without slipping toward the outer edge of the track at the Talladega and NH Motor Speedways? b) With friction (assume μs of 1.1 between the tires and the track)?A car negotiates an unbanked 81.7 m radius curve at 17.4 m/s. What would the minimum coefficient of friction be needed to negotiate the curve?A highway curve of a radius of 400 m is designed for traffic moving at a speed of 91.0 km/hr. What is the correct banking angle of the road?
- A 0.2-kg ball is attached to a rope and is swung in a horizontal surface that has negligible friction. The circular path is moves in has a radius of 0.6 m. If the ball makes 150 revolutions per minute, the tension force of the string is:The peripheral speed of the tooth of a 10-in.-diameter circular saw blade is 150 ft/s when the power to the saw is turned off. The speed of the tooth decreases at a constant rate, and the blade comes to rest in 9 s. Determine the time at which the total (or resultant) acceleration of the tooth is 130 ft/s?.A truck with mass 215 slugs rounds a curve of radius 53.0 ft with speed of 62.5 ft/s. (a) What centripetal force is exerted on the truck while rounding the curve? (b) How does the centripetal force change when the velocity is doubled? (c) What is the new force?
- On a typical road, the force of friction during a turn can be up to 195,000 N. If a car has a mass of 1050kg and makes a turn with a radius of 20.0m, how fast can it be going?A speed skater goes around a turn that has a radius of 31 m. The skater has a speed of 12 m/s and experiences a centripetal force of 450 N. What is the mass of the skater? Number i Units <A car is trying to make a turn on a banked curve on a very icy day and the frictional force between the tires and road is zero. The curve has a radius of 50 m and the car is moving at 12 m/s. What angle should the curve be banked at for this to happen safely?