Cambridge Ex 7.6

1) A car has no tendency to slip when travelling at a speed of v ms^-1. round a section of track of radius 100m which is banked at an angle of 12'. Find the speed of the car.

want v, r=100m ø=12'

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|ø/T

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Tsinø = mv^2/r

Tcosø = mg

tanø = v^2/rg

v^2 = rgtanø

Is this kind of solution grossly oversimplified? How should I be setting out this kind of problem?