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ЖД└└мммм┘Tutorial E2001 Questions:
1 A car skids under heavy braking for 25 metres and stops.
Test skids from 30 mph reveal a braking distance of 12 metres.
The tyre marks show a deviation 10 metres from their commencement.
(a) What was the deceleration rate of the car ? (7.48 ms-2)
(b) What was the coefficient of friction between the road surface and the
tyre ? (0.762)
(c) What was the initial speed of the car ? (43.3 mph)
(d) For how long a period of time was the skidding ? (2.59 sec)
(e) What was the speed of the car at the point where the tyre marks
deviated ? (33.5 mph)
2 The Searle equations for pedestrian throw give a minimum impact speed and a maximum impact speed. From an impact speed of 25 ms-1, what is the minimum throw distance and what is the maximum throw distance according to the Searle equations ?
Assume that the coefficient of friction between the pedestrian and the ground is 0.8.
(minimum distance is 39.1 metres, maximum distance is 65.3 metres)
3 A hump backed bridge is surveyed. The highest point on the bridge lies in the centre of the bridge and is 2.5 metres above a datum level. At points lying 10 metres on either side of the highest point, the road surface is 1.0 metres above the datum level.
At what speed will a car start to become airborne as it passes over this bridge ?
(Assume a rigid suspension. Assume that the vertical profile is a circular arc. Hint: the car will take off when the vertical centripetal force equals the weight of the car). (Radius = 34.1 metres, 40.9 mph)
4 A car has a wheelbase of 2.4 metres. It is being driven on a road whose horizontal radius of curvature is 40 metres. The steering ratio is 6 to 1. Through what angle is the steering wheel turned from its straight ahead position ? (Neglect any side slip). (20.6 degrees)
5 Mr Bugthorpe drank 6 pints of lager with an alcohol strength of 5 percent v/v.
Mr Bugthorpe weighs 80 kilograms and his Widmark Factor is 0.70. Estimate his maximum blood alcohol level from this amount of drink. How long will he have to wait before this maximum blood alcohol level is below 80 mg/100 ml of blood ?
(Assume that the specific gravity of alcohol is 0.85, 1 pint = 568 ml, Rate of elimination = 100 mg/kg of body weight per hour)
(259 mg/100ml, 12.5 hours)
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