Question #abf84

1 Answer
A08
Oct 22, 2016

#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.

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