PRINCIPLES OF HIGHWAY ENGINEERING+TRAFF
7th Edition
ISBN: 9781119688372
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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Compute the braking distance of a car traveling at 50 kph in a horizontal surface and then brought to rest after the application of the brakes if the average skid resistance is 0.55
Situation 03. 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,
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?
If 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.
Chapter 2 Solutions
PRINCIPLES OF HIGHWAY ENGINEERING+TRAFF
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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- 35. Determine the minimum speed of a car at the point the brakes are immediately applied to avoid a collision based upon a yaw mark chord measuring 70.4 feet and a middle ordinate measuring 6 feet. The drag factor C² M of the road surface is 1.4 (Use-Mand S=√15fr ) A. 34.2 MPH B. 9.9 MPH C. 16.4 MPH D. 47.2 MPHarrow_forwardA 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_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_forward
- 1. In traveling a distance of 3km between points A and a car is driven at 100kph from A to B for t seconds and at 60kph from C to D also for t seconds. If brakes are applied for 4 seconds between B and C to give the car a uniform deceleration, calculate the t and the distance between A and B. 1/arrow_forwardQuestion 3: A) A driver is traveling at an average speed of 40 kph when a person is crossing the road. If the perception reaction time of the driver is 2 sec., and the acceleration rate (a) is 5 m/sec". calculate: knowing that f,= (a/g) 1. The safe S.S.D. on a level road. 2. The safe S.S.D. on a 3% uphill road. 3. The safe S.S.D. on a 2% downhill road. B) Show how to derive a formula for determining the stopping sight distance that required for the driver to avoid obstruction before and after applying the brake of the vehicle while traveling a long a roadway.( with the aid of sketch)arrow_forwardWhen a car is travelling at 60kph, after the brakes suddenly applied, the car will still travel 30m before it stops. What is the coefficient of friction between the tires and the road surface? O 0.42 O 0.47 O 0.52 O 0.36arrow_forward
- If speed of the vehicle, v = 60 kmph, design friction coefficient 0.36 and driver reaction time is 2,5 second, then the stopping distance is: =arrow_forwardcompute the braking distance (in meters). if a vehicle is moving down at a speed of 83 kph along an inclined surface (G = 2%). and the coefficient of friction is 0.33.arrow_forwardA vehicle 3,223mm long from center to center of wheels has center of gravity located 576mm from the road surface and 1,151mm away from the rear axle. The vehicle is travelling at a constant speed of 65 kph on a pavement that is poorly constructed and dry. Determine the percentage of braking force that should be allocated to the front brakes. mu= 0.8arrow_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_forwardA car starts from rest, and accelerates at a uniform rate to a velocity of 40 m/s in 15 secs. If the car is moving in a circular track with a diameter equal to 1.5 mi, and assuming constant tangential acceleration, 1. Determine the car's tangential acceleration at the instant when the velocity is 40 m/s. 2. Determine the car's normal acceleration at the instant when the velocity is 40 m/s. 1 3. What was the car's acceleration?arrow_forwardKnowing 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.arrow_forward
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