PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 2, Problem 17P
To determine
The difference in minimum theoretical stopping distances with and without aerodynamic resistance considered.
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Situation 3. A road having a radius of 120m and has angle of 9.31 degrees from the horizontal. The center of gravity of the car is located 0.80m above the roadway and the distance between the two front wheels is 1.20m. If the car has a total weight of 15 KN,
a. Compute the normal acceleration and the velocity of the car before overturning.
b. If uk= 0.60, what is the velocity of the car without sliding?
Please answer this with a complete solution and with a Free Body Diagram PLEASE. Thank you.
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.
Knowing that the coefficient friction between tires and the road is 0.8 for the automobile shown, determine the maximum possible acceleration on a level road, assuming four-wheel drives, rear-wheel drives and front-wheel drive.
Chapter 2 Solutions
PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
Ch. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8PCh. 2 - Prob. 9PCh. 2 - Prob. 10P
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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_forwardIn a certain situation it was estimated that 24.9% of the braking force was applied to the rear brakes in order for the car to develop the maximum forces required stop the car. If the total braking force develop was 5565 N and the road is wet (u = 0.6) wheel base of 295 cm and a center of gravity 75 cm above the pavement road and 120 cm behind the front axle. What was the speed of the car in kph?arrow_forwardThe car is traveling at a constant speed through a dip in the road. The radius of curvature of the road at point A, the bottom of the dip is 471m. What speed of the car (kph) would result in an acceleration of magnitude 0.2g when the car is at A? use 3 decimal placesarrow_forward
- A moving car is traveling at 80 kph when the brakes are applied to it. The car stillmoves at a distance of 35 m, before it completely stops. Determine the coefficientof friction between the tires and the road surface.arrow_forwardFind at what maximum speed a vehicle can move round a curve of 50 m radius without slip on a road banked with 1 in 10 slope? Take coefficient of friction between the tyres of the vehicle and the road equal to 0.4 Correct answer is 57.53 kpharrow_forwardFind the angle of banking for a highway curve of 90 m radius for cars traveling at 128 Km/hr, if the coefficient of friction between the tires and the road surface is 0.40. What is the rated speed of the road? (In rated speed, the friction force between the tires and the road is zero)arrow_forward
- A 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_forwardIn traveling a distance of 2.0 km between points A and D, a car is driven at 106 km/h from A to B for t seconds and 47 km/h from C to D also for t seconds. If the brakes are applied for 3.7 seconds between B and C to give the car a uniform deceleration, calculate t and the distance s between A and B.arrow_forwardA 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?arrow_forward
- TOPIC: Equation of Motion (NORMAL AND TANGENTIAL) Fn= Man Ft= Mat A road having a radius of 120m and has an angle of 9.31° from the horizontal. The center of gravity of the car is located 0.80m above the roadway and the distance between the two front wheels is 1.20m. If the car has a total weight of 15KN, Compute the normal acceleration and the velocity of the car before overturning. If uk= 0.60, what is the velocity of the car without sliding? PLEASE ANSWER WITH A COMPLETE AND DETAILED SOLUTIONS. THANK YOUarrow_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_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_forward
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