Calculate the angle of banking on a bend of 100m radius so that vehicles can travel round the bend at 50km/hr without side thrust on the tyres.

Question

asked Mar 1, 2020 138k views

1 Answer

Carloss Medranoo · Answer 1 · 2020-03-04T18:29:39+0000

Answer:

11.125°

Step-by-step explanation:

Given:

Radius of bend, R = 100 m

Speed around the bend = 50 Km/hr =
(5)/(18)*50 = 13.89 m/s

Now,

We have the relation

$\tan\theta=(v^2)/(gR)$

where,

θ = angle of banking

g is the acceleration due to gravity

on substituting the respective values, we get

$\tan\theta=(13.89^2)/(9.81*100)$

or

$\tan\theta=0.1966$

or

θ = 11.125°