5. a) Show that the maximum speed of a vehicle that is moving on a banked track which makes an angle 0 to the horizontal direction is given by the equation below. [gR(tan 0 + µ,)1/2 1- Hs tan 0 where us is the coefficient of static friction between the wheel and the surface of the banked track.
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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 car weighing 11.1 kN and traveling at 13.7 m/s without negative lift attempts to round an unbanked curve with a radius of 62.0 m. (a) What magnitude of the frictional force on the tires is required to keep the car on its circular path? (b) If the coefficient of static friction between the tires and the road is 0.35, is the attempt at taking the curve successful or not ("yes" or "no")? (a) Number Units (b)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.A banked circular highway curve is designed for traffic moving at 60 km/h. The radius of the curve is 200 m. Traffic is moving along the highway at 40 km/h on a rainy day. What is the minimum coefficient of friction between tires and road that will allow cars to take the turn without sliding off the road? (Assume the cars do not have negative lift.)
- A 3500-pound automobile is negotiating a circular interchange of radius r = 500 feet at s = 45 miles per hour (see figure). Assuming the roadway is level, find the force between the tires and the road such that the car stays on the circular path and does not skid. (Use F = ma, where m = 3500/32. Round your answer to the nearest integer.) Find the angle at which the roadway should be banked so that no lateral frictional force is exerted on the tires of the automobile. (Round your answer to one decimal place.)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 upside-down screw jack shown in Fig. often used as a foot leveler on refrigerators and other heavy appliances. Suppose the weight carried by a single foot screw is 800 N and the screw has a mean radius of 3 mm is and a lead of 1 mm. The coefficient of friction is 0.3 be- tween the screw and the refrigerator frame, and friction be- tween the screw head and the floor may be ignored. De- termine the minimum moment necessary to raise and the minimum moment to lower the corner of the refrigerator.
- Problem 1. What is the maximum speed with which a 2,000-kg car can round a turn of radius 75.0 m on a flat (horizontal) road if the coefficient of static friction between the tires and the road is 0.600? What angle should the turn be banked to keep the car on the bank at this speed if the coefficient of static friction is changed to 0 (an iey curve)?question 5A 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 Units
- Problem 9: Circular turns of radius r in a race track are often banked at an angle 0 to allow the cars to achieve higher speeds around the turns. Assume friction is not present, and use the coordinate system specified. F,See attachedA commercial airliner weighing 4x105 N (90,000 lbs) makes a 10º banked turn in a horizontal circle of radius R, traveling at 89.4 m/s (200 mph). Assume the lift force L is perpendicular to its wings. c) Find the lift force in pounds.