If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a problem on icy mountain roads). (a) Calculate the ideal speed to take a 100.0 m radius curve banked at 15.0°. (b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 20.0 km/h?
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Q: If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from…
A: Since tana=v^2/rg. a=15' r=110m. Therefore -v=(tana×rg)^0.5. =17m/s
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A: Step 1:Step 2:Step 3:Step 4:
Q: If a car takes a banked curve at less than a given speed, friction is needed to keep it from sliding…
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A: Given: The angle of banking is 13o. The radius of the curvature is 108 m.
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A: Given, the radius of the round road, r =115 m speed, v = 110 kmh
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A: Given Radius r = 84 m Angle θ = 14o
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A: Given:- Friction force = 1800 kg radius = 110 m. Speed = 15 m/s.…
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A: For no skid condition, the friction force will be equal to the centrifugal force, Ff=mv2R
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A: µ = 0.30radius,r=50 mLet V be the max. velocity of car around the turn
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Q: If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from…
A: (a) The ideal speed be calculated as, tanθ=v2rgv=rgtanθ=140 m9.8 m.s-2tan18°=445.79≃21.11…
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- A 4.5kg rock is tied to a 2.15 m piece of string and swung in a vertical circle. Determine the speed required to spin the rock to achieve a minimum tension of 120N.At what maximum speed can a car negotiate a turn on a wet road with coefficient of static friction 0.200 without sliding out of control? The radius of the turn is 27.5 m.If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads). (a) Calculate the ideal speed in (m/s) to take a 85 m radius curve banked at 15°. m/s (b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 20.0 km/h?
- The banked turns at Talladega International Super Speedway are designed so a 1500 kg race car can drive around them at 340 km/h without slowing down. The radii of the turns are 350 m. a) If the force of friction is 3.0 x 104N [towards center], at what angle must the corners be at in order to allow this type of race? (Provide FBD) b) What is the slowest speed a car can travel and still be able to go around a comer without falling to the bottom of the track in km/h? (ignore friction)A circular curve of highway is designed for traffic moving at 75 km/h. Assume the traffic consists of cars without negative lift. (a) If the radius of the curve is 260 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 75 km/h? (a) Number Units (b) Number UnitsThe posted speed limit for a flat (unbanked) curve of radius 45m is 45mph. What is the required coefficient of static friction between the road and car tires for this turn to be negotiated safely?
- b) The maximum speed that a car can turn a curve of 9.00 m radius without skidding is 70.0 mph (miles per hour). If the coefficient of friction between the tires and the road is 0.600, what is the rated speed of the banked curve? On a wet day, the same car begins to skid on the curve when its speed reaches 60.0 mph. What is the coefficient of friction in this case? Please answer with complete solution and fre body diagramA 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 UnitsSee attached