Question

64
57.
62.
Pre-Medical : Physics
A circular track of radius 160 m is designed for car
at an average speed of 180 km/hr. What should
be angle of banking of the track (approx)
(g 10 m/s)
(1) 30°
(2) 60°
(3) 45°
(4) 57°
VERTICAL CIRCULAR MOTION
to the angular disnlacement of a simple

Answer 1

Explanation:

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Answer 2

GIVEN: r = 160m

avg. speed = 180km/hr = 180*5/18 = 50 m/s

TO FIND : angle of banking θ

BY USING FORMULA ,

tanθ = $\frac{V^{2}}{rg}$

tanθ = $\frac{50X50}{10X160}$ =$\frac{25}{16}$

θ =  $tan^{-1}$ $[\frac{25}{16}]$

θ = 56° approx.

hence , the correct option is (4) that is 57°