Question

Question #abf84

Answer 1

`24.6^@`, rounded to one decimal place.

Explanation:

If banking angle is `theta` then we have the following expression connecting various variables
`tan theta=v^2/(rg)`
where `v` is the velocity of the vehicle, `r` is the radius of curvature and `g` is the acceleration due to gravity equal to `9.81ms^-2`.

Inserting given values after converting speed to SI units, we get
`tan theta=((108xx10^3)/3600)^2/(200xx9.81)=(30)^2/(200xx9.81)`
`=>tan theta=0.4587`
`=>theta=tan^-1 0.4587`
`=>theta=24.6^@`, rounded to one decimal place.