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A transportation engineer uses the formula, R = 1600/15+127e, to determine the minimum radius of curvature (R) in meters, for a roadway with a 40 km/hr design speed and a maximum superelevation rate (e). What is the maximum superelevation rate recommended if the radius of curvature is 350 meters? Answer as a decimal, rounded to two decimal places.

Respuesta :

Answer:

The value is  [tex]    e  =  1.92 [/tex]

Step-by-step explanation:

From the question we are told that

   The formula for radius of curvature is [tex]R = \frac{1600}{15} +127e[/tex]

   The design speed of the roadway is  [tex]v =  40 \ km/hr[/tex]

    The value of radius of curvature considered R =  350 m

From the equation given e is the superelevation rate

Now making the subject of the formula

        [tex]    e  =  \frac{R}{127}  - \frac{1600}{1905} [/tex]

At R= 350

         [tex]    e  =  \frac{350 }{127}  - \frac{1600}{1905} [/tex]

          [tex]    e  =  1.92 [/tex]

Here, we are required to determine the maximum superelevation rate, e (rounded to 2 decimal places) recommended if the radius of curvature, R is 350 meters.

The answer is e = 1.92 (rounded to 2 decimal places).

First, from the information given, the minimum radius of curvature, R is related to the maximum superelevation rate, e by the formular;

R = (1600/15) + (127e)

Therefore, to evaluate the value of e for R = 350, we have;

350 - (1600/15) = 127e.

350 - (1600/15) = 127e.350 - 106.667 = 127e

Therefore, 243.333 = 127e.

Therefore, e = 1.9160meters

As a result, The maximum superelevation rate, e recommended if the radius of curvature, R is 350 meters is:

  • e = 1.92 (rounded to 2 decimal places).

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