Question

a highway curve has a radius of 300 m. at what angle should it be banked for a traffic speed of 100 km/h

Answer 1

The angle at which it should be banked for a traffic speed of 100 km/h is

14.57°.

How do find the angle of Banking of road?

• Banking of roads is the practice of raising the outer borders of curving roads over the inner edge in order to give vehicles the necessary centripetal force to make a turn safely.
• Skidding can be prevented by banking.
• The banking of roadways aids in preventing toppling or overturning.

To find the angle of banking following formula can be used,

$tan \alpha = v^{2} /rg$

Given v = 100km/h or

          = 100  x 1000 / 3600

          = 27.7 m/s

Hence,

$tan \alpha = (27.7)^{2} / 300 * 9.81$

$tan\alpha = 0.26$

$\alpha = tan^{-1} 0.26$

$\alpha = 14.57$°

Hence, the angle of banking of the road will be 14.57°

To learn more about Banking of the road refer to:

https://brainly.com/question/20385799

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