GarettNguyen2323 GarettNguyen2323
  • 13-09-2019
  • Engineering
contestada

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.

Respuesta :

valetta valetta
  • 18-09-2019

Answer:

11.125°

Explanation:

Given:

Radius of bend, R = 100 m

Speed around the bend = 50 Km/hr = [tex]\frac{5}{18}\times50[/tex] = 13.89 m/s

Now,

We have the relation

[tex]\tan\theta=\frac{v^2}{gR}[/tex]

where,

θ = angle of banking

g is the acceleration due to gravity

on substituting the respective values, we get

[tex]\tan\theta=\frac{13.89^2}{9.81\times100}[/tex]

or

[tex]\tan\theta=0.1966[/tex]

or

θ = 11.125°

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