Question

7. A highway curve with a radius of R metres is banked so that cars moving at v m/s around the curve do not have to rely on friction when taking the turn. IWPS 7. No.4] 7.1 Show (from first principles) that the angle, 6, at which, the road should be banked is given by: 0 arctan 7.2 A particular banked highway curve with a radius of 200 m is designed for traffic moving at 60 km/h. On a rainy day, traffic is travelling cautiously, moving at only 40 km/h. Determine the minimum coefficient of friction required between the tyres and the wet tar to prevent the cars sliding off the road in the turrn 7.3 On the same turn, under the same conditions (with the same coefficient of friction), what is the maximum speed (in km/h) at which a car could take the corner without skidding? 8. While at the V&A Waterfront, you decide to ride the Cape Wheel. You estimate the radius of the big wheel to be 20 m, and you use your watch to find that each revolution takes 50 s. Determine: IWPS 7.No. 5 8.1 your tangential speed 8.2 the magnitude of your acceleration; 8.3 the ratio of your apparent weight to your true weight at the top of the ride; 8.4 the ratio of your apparent weight to your true weight at the bottom of the ride.

Answer 1

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