Question #e5a6d

1 Answer
Oct 24, 2016

Answer:

#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.