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Solve the Problem RR , When Designing a Road Is R=V2 g(f+tanα)\mathrm { R } = \frac { \mathrm { V } ^ { 2 } } { \mathrm {~g} ( \mathrm { f } + \tan \alpha ) }

question 187

Multiple Choice

Solve the problem.
-A formula used by an engineer to determine the safe radius of a curve, RR , when designing a road is:
R=V2 g(f+tanα) \mathrm { R } = \frac { \mathrm { V } ^ { 2 } } { \mathrm {~g} ( \mathrm { f } + \tan \alpha ) } , where α\alpha is the superelevation of the road and V\mathrm { V } is the velocity (in feet per second) for which the curve is designed. If V=81ft\mathrm { V } = 81 \mathrm { ft } per sec, f=0.1, g=30\mathrm { f } = 0.1 , \mathrm {~g} = 30 , and α=1.1\alpha = 1.1 ^ { \circ } , find R\mathrm { R } . Round to the nearest foot.

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