What is the bank angle θ necessary to allow the car below to take a 100 m radius turn at a speed of 29 m/s if there is no friction? Use g = 10 N/kg. Enter units in degrees.
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What is the bank angle θ necessary to allow the car below to take a 100 m radius turn at a speed of 29 m/s if there is no friction? Use g = 10 N/kg. Enter units in degrees.
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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?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 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. What is the maximum safe speed that a car can travel around the curve without skidding?
- A car on a highway turns a corner. It starts skidding at 15 m/s. The coefficient of skid friction is 0.5. The turn radius is _____ meter.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 road with a radius of 75.0 m is banked so that a car can navigate the curve at a speed of 16.8 m/s without any friction. When a car is going 36.8 m/s on this curve, what minimum coefficient of static friction is needed if the car is to navigate the curve without slipping?
- An 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= NA gear of radius 12 cm is used to turn a gear of radius 7 cm. If the larger gear turns through 400°, through what angle does the smaller gear turn?