Railway tracks are banked on curves
Necessary centripetal force may be obtained from the horizontal component of the weight of the train.
Curves on some test tracks and race courses, such as the Daytona International Speedway in Florida, are very steeply banked. This banking, with the aid of tire friction and very stable car configurations, allows the curves to be taken at very high speed. If the speed of the car is 46.1 m/s at which a 56.4 m radius curve banked at angle theta degrees(the road is frictionless), what is the angle theta? Use g = 9.8 m/s2
Why are curves in roadways often banked?
Two banked curves have the same radius. Curve A is banked at 10.9 °, and curve B is banked at an angle of 18.8 °. A car can travel around curve A without relying on friction at a speed of 17.1 m/s. At what speed can this car travel around curve B without relying on friction?
Banked curves are designed so that the radial component of the normal force on the car rounding the curve provides the centripetal force required to execute uniform clrcular motion and safely negotlate the curve. A car rounds a banked curve with banking angle θ-27.1° and radius of curvature 157 m. (a) It the coefficient of static friction between the car's tires and the road is -0.316, what is the range ot speeds for which the car can safely negotiate the turn...
Two railway cars are on a straight railroad track. The first, with mass 8000 kg, moves slowly at a velocity of 0.05 m/s to the right in the direction of the second car of mass 15000 kg, which is stationary. (a) What is the total momentum (relative to the ground) of both cars together? kg m/s They collide and stick to each other. What is the total momentum right after the collision? For the short times involved, you can take...
Please help with this Statistical Analysis problem. Thank you so much! Railway track allocation. Refer to the Journal of Trans- portation Engineering (May, 2013) investigation of the as- signment of tracks to trains at a busy railroad station, Exercise 2.8 (p. 28). Ideally, engineers will assign trains to tracks in order to minimize waiting time and bottlenecks. Assume there are 10 tracks at the railroad station and the trains will be randomly assigned to a track. Suppose that in a...
highway curves are often banked, so the normal force provides the centripetal force and cars don’t have to rely on friction. After having responded to an emergency call in the middle of a snowstorm, an ambulance is speeding back towards the hospital along a slippery curved road. Your job is to inform the ambulance driver of the maximum speed at which he can travel around this curve without slipping up the bank. You are told that the curve has a...
QUESTION 2 A railway company is building a railway line to connect two cities at an initial cost of SR 110,189,487.A major rehabilitation will be needed every 11 years and costs SR 13,271,740 . What will be the capitalized cost at an interest rate 10 compounded annually.
3. An 8500 kg railway car moves right at 4.5 m/s, and a 9800 kg railway car moves left ats cars collide and stick together. What is the final velocity of the system? .9 m/s. The
You are driving a massive truck and become stuck at a railway crossing. Your truck completely blocks the railway tracks, which extend in a straight line in both directions. You hear a train approaching when it toots its horn. (a) Let /1 be the intensity of the sound you hear from the horn initially, and 12-70 dB the sound when the train is at half the original distance. ) Calculate the intensity of the horn, 11, in dB. i) Calculate...