Question

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.

Answer 1

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°