Curve A is banked at 11.2 °, and curve B is banked at an angle of 15.2 °. A car can travel around curve A without relying on friction at a speed of 14.5 m/s. At what speed can this car travel around curve B without relying on friction?

Question

Curve A is banked at 11.2 °, and curve B is banked at an angle of 15.2 °. A car can travel around curve A without relying on friction at a speed of 14.5 m/s. At what speed can this car travel around curve B without relying on friction?
Do I need to find radius in order to solve for this one, I'm kinda lost please advice.

S · Answer

I was able to solve this problem
at firs, use the equation V=sqrt(R g tan theta)
since you have two angles you will need to separate the equation into 2
Va= sqrt(r g tan a theta)
Vb= sqrt (r g tan b theta)
then solve for Vb
Vb/Va= sqrt(r g tanb )/ sqrt(r g tan a theta)

r and g will cross out
therefore, Vb= sqrt( tan b theta)/ sqrt(tan a theta)* Va
So the answer should be:
Vb= sqrt tan 15.2/ sqrt tan 11.2* 14.5
vb= 16.99 m/s or 17 m/s