A mobile home exists on the inside of a horizontal curve that obstructs the view of drivers. If the radius of the curve is 1,100 ft and the mobile home is located at 12 ft from the centerline of the inside lane. What is the minimum distance that mobile home needs to be far from the centerline of the inside lane so that a speed limit of 65 mph can be maintained

47 ft

Explanation:

Given parameters include;

The radius of the curve (R) = 1,100 ft

the mobile home is located at 12 ft ; this implies that the distance =  12 ft

Speed (V) = 65 mph  = 104.65 kmph

Let assume that;

f = 0.35

t = 2.5 sec

The  sight distance (SD) =

=

= 195.13  metre

= 195.13 × 3.28084

= 640.19 ft

However, if the length of the horizontal curve is greater than the sight distance ; then

The minimum setback distance (m) from the center of the center line is given as:

m= R - (R - d) cos

m= 1100 - ( 1100- 12) Cos 16.86

m = 58.77 ft

m ≅ 59 ft

∴ the minimum distance  from the centerline of the inside lane = 59 ft - 12 ft

= 47 ft

Thus,  the minimum distance that mobile home needs to be far from the centerline of the inside lane so that a speed limit of 65 mph can be maintained = 47 ft

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