Principles of Highway Engineering and Traffic Analysis
6th Edition
ISBN: 9781118879078
Author: Mannering
Publisher: WILEY
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Chapter 2, Problem 23P
To determine
The percentage of the braking force to be allocated to the front to achieve optimal braking.
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A light train made up of two cars is traveling at a speed of (90 + a) km/h where a =7 when the brakes are applied to both cars. Knowing that car A has a mass of 25000 kg and car B has a mass of 20000 kg, and that the braking force is 30 kN on each car, as shown in Figure Q1 (a). Determine the distance travelled by the train before it comes to a stop
In traveling a distance of 3 km between points A and D, a car is driven at 100 km/hr from A to B for t seconds. If the brakes are applied for 4 sec between B and C to give a car uniform deceleration from 100 kmph to 60 kmph and it takes ' t ' seconds to move from C to D with a uniform speed of 60 kmph, determine the value of ' t '.
A 12.52 kN car has a 2.75 m wheelbase, with its center of gravity located 60 cm from the pavement and 115.0 cm behind the front axle. 4 people weighing on average 75 kg loaded the vehicle, shifting the center of gravity 12.0 cm nearer to the rear axle. What is the maximum tractive effort (N) that can be developed if the car is a front wheel drive? Use coefficient of road adhesion = 0.55 .
Chapter 2 Solutions
Principles of Highway Engineering and Traffic Analysis
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- 5) A car is traveling along a straight road with an acceleration of a = 1/4 * s ^ (1/4) (m/s^ 2 ) Determine the velocity when the car travels 2 (m).arrow_forwardA 12.5 kN car has a 4000 mm wheelbase, with its center of gravity located 600 mm from the pavement and 1200 mm behind the front axle. Five people weighing on average 80 kg loaded the vehicle, shifting the center of gravity 125 mm nearer to the rear axle. What is the maximum tractive effort (N) that can be developed if the car is a front wheel drive? Use coefficient of road adhesion= 0.55.arrow_forwardA car weighing 4000 lb is driven down a 5oincline at a speed of 60 mi/h when the brakes are applied, causing a constant total braking force (applied by the road on the tires) of 1500 lb. Determine the distance traveled by the car as it comes to a stop.arrow_forward
- Determine the horsepower produced by a passenger car traveling at a speed of 65 mi/h on a straight road of 5% grade with a smooth pavement. Assume the weight of the car is 4000 lb and the cross-sectional area of the car is 40 f t 2.arrow_forwardA car of mass 1.2 tonnes is traveling along a straight horizontal Road at a speed of 20 m/s when it breaks sharply then skids. Friction brings the car to rest. If the coefficient of friction between the tyres and road is 0.8, calculate the deceleration and the distance travelled by the car before ut comes to rest.arrow_forwardThe pilot of a jet transport brings the engines to full takeoff power before releasing the brakes as the aircraft is standing on the runway. The jet thrust remains constant, and the aircraft has a near-constant acceleration of 0.32g (where g is the gravitational acceleration). If the takeoff speed is 208 km/h, calculate the distance (m) required to takeoff.arrow_forward
- The drag force experienced by a commercial transport (such as a 787) in cruise depends on its surface area (A), its velocity (V ), the speed of sound (a), the density (ρ) and viscosity (µ) of the fluid, and its angle of attack (α). (a) Express the non-dimensional drag as a function of the other non-dimensional groups. (b) Tests on a model 787 are performed at 1/40th scale. Assume that the speed of sound in the wind tunnel is one-half the speed of sound of the full-scale aircraft. To achieve dynamic similarity in the model test, what would the wind tunnel speed need to be in the model compared to the full-scale prototype? What would the kinematic viscosity of the wind tunnel fluid be compared to air?arrow_forwardA 1300 kg car A struck a parked car B with mass 1200 kg, the wheels of car B jams a break and known to slide 2m after the impact. If the coefficient of kinetic friction between car B and the road is 0.80 and the coefficient of restitution is 0.40. a. What is the velocity of B after impact b. What is the velocity of A before impact c. How long does Car slides after impact before it stopsarrow_forwardDetermine the horsepower developed by a passenger car traveling at a speed of 60 mph on an upgrade of 4% with a smooth pavement. The weight of the car is 4500 lb and the cross-sectional area of the car is 45 ft2.arrow_forward
- Estimate the rotational speed of your car wheels when you are traveling at 90 km/h.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_forwardA 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_forward
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