The speed limit of a car over a roadways bridge in the form of a vertical arc is 9.8 ms-1. Calculate the diameter of the arc.

For the vertical arc:weight of the car must be balanced by the centrefugal forcemg = mv2rwhere r is the radius of the arcr = v2g = 9.8×9.89.8 = 9.8diameter = 2r = 2×9.8 = 19.6 m

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