A curve in a road froms an arc of radius `800m` If the road is `19.6m` wide and outer edge is `1m` higher than the inner edge calculate the speed for which it is banked.

Answer

`20ms^(-1)`.

Explanation

`r = 800 m, b = 19.6 m h = 1 m, upsilon =` ?
`tan theta = (upsilon^(2))/(rg) = (h)/sqrt(b^(2) -h^(2))`
`upsilon = [ (hrg)/(b^(2) -h^(2))]^(1//2) =[(1 xx 800 xx 9.8)/(sqrt(19.6^(2) -1^(2)))]^(1//2)`
`20m//s` .