can someone help me solve this physics problem regarding circular motion, and gravity?

Q: At the instant shown, the 1200 kg car is travelling in a circular path of radius R = 110 m on a 'banked' track of theta = 12 deg. If the COF between track surface and tires is zero, determine the constant speed in m/s necessary to keep the car travelling on the circular path radius R = 110 m.

A: In the absence of friction,

tanΘ = v² / gr, so

v² = grtanΘ = 9.8m/s² * 110m * tan12º = 229 m²/s²

v = 15.1 m/s

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A car is moving around a banked curve at a constant speed.

http://www.batesville.k12.in.us/physics/phynet/mec...

http://hyperphysics.phy-astr.gsu.edu/hbase/mechani...

If you go to either of the websites above, you will see how the following equation is derived.

v = √(r * g * tan θ)

v = √(110 * 9.8 * tan 12)

This is approximately 15.14 m/s. You can check this answer at the second website.