Question

A horizontal circular curve on a highway is designed for traffic moving at 60 km/h. If the radius of the curve is 150 m, and if cars do not slide down the banked road, what is the correct angle of banking for the road

Answer 1

The value of the correct angle of banking for the road is
`\theta = 67.76` °

Step-by-step explanation:

Given data

Velocity (v) = 60
`(m)/(s)`

Radius = 150 m

The velocity of the car in this case is given by

`v = √(r g \tan \theta)`

`v^(2) = r g \tan \theta`

`\tan \theta = (v^(2) )/(rg)`

Put all the values in above formula we get

`\tan \theta = (60^(2) )/((150)(9.81))`

`\tan \theta =` 2.446

`\theta = 67.76` °

Therefore the value of the correct angle of banking for the road is
`\theta = 67.76` °