Question

Question #e5a6d

Answer 1

`22.4^@`, 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=((45xx1609.344)/3600)^2/(100xx9.81)=0.4125`
`=>theta=tan^-1 0.4125`
`=>theta=22.4^@`, rounded to one decimal place.