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An unbanked circular highway curve on the level ground makes a turn of 90 ° . The highway carries traffic at 108 km h - 1 , and the centripetal force on a vehicle is not to exceed 1 1 0 of its weight. What is the approximate minimum length of the curve, in km?

Options

  1. A1 . 41   km
  2. B1   km
  3. C0 . 6   km
  4. DNone of these

Correct answer

A. 1 . 41   km

Step-by-step solution

m v 2 R = m g 1 0 R = 1 0 v 2 g = 108 × 5 1 8 2 = 9 0 0   m , Length π R 2 = 1.413 km

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