Use a Calculator to Find the Function Value $R$ , When Designing a Road Is

question 288

Multiple Choice

Use a calculator to find the function value. Give your answer rounded to seven decimal places, if necessary.
-A formula used by an engineer to determine the safe radius of a curve, $R$ , when designing a road is: $\mathrm { R } = \frac { \mathrm { V } ^ { 2 } } { \mathrm {~g} ( \mathrm { f } + \tan \alpha ) }$ , where $\alpha$ is the superelevation of the road and $\mathrm { V }$ is the velocity (in feet per second) for which the curve is designed. If $\mathrm { V } = 72 \mathrm { ft }$ per sec, $\mathrm { f } = 0.1 , \mathrm {~g} = 30$ , and $\alpha = 1.8 ^ { \circ }$ , find $\mathrm { R }$ . Round to the nearest foot.

• A) \(R = 1315 \mathrm { ft }\)
• B) \(\mathrm { R } = 1312 \mathrm { ft }\)
• C) \(\mathrm { R } = 1318 \mathrm { ft }\)
• D) \(\mathrm { R } = 1325 \mathrm { ft }\)

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