Principles of Highway Engineering and Traffic Analysi (NEW!!)
6th Edition
ISBN: 9781119305026
Author: Fred L. Mannering, Scott S. Washburn
Publisher: WILEY
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Chapter 2, Problem 40P
To determine
The travelling speed of the car when it reaches the tree.
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A 11120 N car is designed with a 310 cm wheelbase. The center of gravity is located 60 cm above the pavement and 105 cm behind the front axle. If the coefficient of road adhesion is 0.6, what is the maximum tractive effort that can be developed if the car is (a) front-wheel drive and (b) rear-wheel drive?
From the previous question, how far back from the front axle would the center of gravity have to be to ensure that the maximum tractive effort developed for front- and rear-wheel drive options is equal?
A 11120 N car is designed with a 310 cm wheelbase. The center of gravity is located 60 cm above the pavement and 105 cm behind the front axle. If the coefficient of road adhesion is 0.6, what is the maximum tractive effort that can be developed if the car is (a) front-wheel drive and (b) rear-wheel drive?
A motorist travelling at 100 km/hr on a highway needs to take the next exit, which
has a speed limit of 50 km/hr. The section of the roadway before the ramp entry has
a downgrade of 3% and coefficient of friction (f) is 0.35. In order to enter the ramp
at the maximum allowable speed limit, determine the braking distance (expressed in
m) from the exit ramp.
Chapter 2 Solutions
Principles of Highway Engineering and Traffic Analysi (NEW!!)
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Ch. 2 - Prob. 11PCh. 2 - Prob. 12PCh. 2 - Prob. 13PCh. 2 - Prob. 14PCh. 2 - Prob. 15PCh. 2 - Prob. 16PCh. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - Prob. 31PCh. 2 - Prob. 32PCh. 2 - Prob. 33PCh. 2 - Prob. 34PCh. 2 - Prob. 35PCh. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - Prob. 39PCh. 2 - Prob. 40P
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- A vehicle weighing a 50 kN is moving at a constant speed around a circular curve. Neglecting the friction between the tires and the pavement and the centrifugal ratio (the ratio of the centrifugal force experience by the vehicle on the curve to its own weight) is 0.30. The degree of the curve is 5 degrees.a. Calculate the centrifugal force.b. Calculate the maximum speed the vehicle could move around the curve (in kph)c. If the skid resistance is 0.15, calculate the maximum super elevation that can be provided for the speed calculated from b.arrow_forwardTwo cars are traveling on level terrain at 60 mi/h on a road with a coefficient of adhesion of 0.8. The driver of car 1 has a 2.5-s perception/reaction time and the driver of car 2 has a 2.0-s perception/reaction time. Both cars are side by side and the drivers are able to stop their respective cars in the same amount of distance after first seeing a roadway obstacle (perception/reaction plus vehicle stopping distance). If the braking efficiency of car 2 is 0.75, determine the braking efficiency of car 1. (Assume minimum theoretical stopping distance and ignore aerodynamic resistance.)arrow_forwardcompute the braking distance for a car moving at an initial velocity of 80 kph and a final velocity of 60 kph. slope of roadway is +6% the coefficient of friction between road pavement and tries is 0.17, and the perception time is 3/4 seconds.arrow_forward
- A vehicle is moving down at a speed of 80 kph along an inclined surface (G = 2%). If the coefficient of friction is 0.33, compute the braking distance in meters. Round off to two decimal places.arrow_forwardIf the car in Example 2.9 had CD = 0.45 and area = 25 ft2, what is the difference in minimum theoretical stopping distances with and without aerodynamic resistance considered (all other factors the same as in Example 2.9)? Example 2.9 EFFECTS OF GRADE ON THEORETICAL MINIMUM STOPPING DISTANCE A car is traveling at 80 mi/h and has a braking efficiency of 80%. The brakes are applied to miss an object that is 150 ft from the point of brake application, and the coefficient of road adhesion is 0.85. Ignoring aerodynamic resistance and assuming the theoretical minimum stopping distance, estimate how fast the car will be going when it strikes the object if (a) the surface is level and (b) the surface is on a 5% upgrade.arrow_forwardA student tying to test the braking ability of his car determined that he needed 10 m more to stop his car when driving downhill on a particular road than when driving uphill at 90 km/h. Assuming that the coefficient of friction between the tyres and the pavement is 0.30. Determine: The braking distance downhill. The percentage grade of the highway at that section of the road.arrow_forward
- A vehicle moving at a speed at a speed of 90 kph along an incline surface having aslope of 5%. If the coefficient of friction is 0.20, determine the braking distance.arrow_forwardA level test track has a coefficient of road adhesion of 0.80, and a car being tested has a coefficient of rolling friction that is approximated as 0.018 for all speeds. The vehicle is tested unloaded and achieves the theoretical minimum stop in 180 ft (from brake application). The initial speed was 60 mi/h. Ignoring aerodynamic resistance, what is the unloaded braking efficiency?arrow_forwardA race car with a 106-inch wheelbase has its weight evenly distributed between front and rear axles. At 150 mi/h, on a race track with = 1.0, the optimal brake force has 67.32% of the braking force on the front brakes. A new racing tire generates = 1.2. At 150 mi/h, what percentage of the braking force should now be allocated to the front to achieve optimal braking?arrow_forward
- A 12.5 kN car has a 2250 mm wheelbase, with its center of gravity located 550 mm from the pavement and 1150 mm behind the front axle. 3 people weighing on average 95 kg loaded the vehicle, shifting the center of gravity 115 mm nearer to the rear axle. What is the maximum tractive effort (N) that can be developed if the car is a rear wheel drive? Use coefficient of road adhesion= 0.46.arrow_forwardA 3500-lb vehicle (CD = 0.38, A_f= 26 ft^2, p =0.002378 slugs/ft^3) is driven on a surface with a coefficient of adhesion of 0.5, and the coefficient of rolling friction is approximated as 0.015 for all speeds. Assuming minimum theoretical stopping distances, if the vehicle comes to a stop 260 ft after brake application on a level surface and has a braking efficiency of 0.82, what was its initial speed (a) if aerodynamic resistance is considered and (b) if aerodynamic resistance is ignored?arrow_forwardA 15.6-kN vehicle (Cd = 0.40, Af = 2.4 m2, rho = 1.2256 kg/m3) is driven on a surface with a coefficient of adhesion of 0.5, and the coefficient of rolling friction is approximated as 0.015 for all speeds. Assuming minimum theoretical stopping distances, if the vehicle comes to a stop 76 m after brake application on a level surface and has a braking efficiency of 0.78, what was its initial speed (a) if aerodynamic resistance is considered and (b) if aerodynamic resistance is ignored?arrow_forward
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