Railroad tracks follow a circular curve of radius 500.0 m and are banked at an angle of 5.0°. For trains of what speed are these tracks designed?
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- The Texas Motor Speedway is an oval racing track with curves of radius 229 m that are banked at an angle of 24.0°. The size of the track allows for race cars to achieve speeds in excess of 400 km/h. An unintended consequence of the banked curves and high speeds is that race car drivers experience excessive G forces, especially in the "vertical" direction (with respect to their body position), causing dizziness and loss of consciousness. (a) A daring driver, pushing his car to the limit, experiences 4.67g of centripetal acceleration during one banking maneuver. What is the speed of his car during the maneuver? (Give your answer in km/h.) km/h (b) If the driver is seated so that during the banking maneuver his upper body is aligned with the direction normal to the banked curve, what is the magnitude of the component of the centripetal acceleration along the driver's upper body? (Give your answer in terms of g.) a deleteA car of mass 500 kg is traveling on a circular banked roadway that is inclined at an angle of 0 = 20° with a radius of 100 m. What is the only speed at which the car can sliding navigate the bank without up or down the incline?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 circular curve of highway is designed for traffic moving at 91 km/h. Assume the traffic consists of cars without negative lift. (a) If the radius of the curve is 150 m, what is the correct angle of banking of the road? (b) If the curve were not banked, what would be the minimum coefficient of friction between tires and road that would keep traffic from skidding out of the turn when traveling at 91 km/h? (a) Number i Units (b) Number UnitsAn engineer wants to design an oval racetrack such that 3.20 × 10³ lb racecars can round the exactly 1000 ft radius turns at 1.00 x 102 mi/h without the aid of friction. She estimates that the cars will round the turns at a maximum of 175 mi/h. Find the banking angle necessary for the race cars to navigate the turns at 1.00 × 10² mi/h without the aid of friction. 0 = What additional radial force F, is necessary to prevent a race car from drifting on the curve at 175 mi/h? This banking and radius are very close to the actual turn data at Daytona International Speedway, where 3.20 × 10³ lb stock cars travel around the turns at about 175 mi/h. 0 Fr= N