# Circular motion – Further Mechanics Paper 3

Candidates should be able to:

• understand the concept of angular speed for a particle moving in a circle, and use the relation $$v = r\omega$$
• understand that the acceleration of a particle moving in a circle with constant speed is directed towards the centre of the circle, and use the formulae $$r\omega^2$$ and $$\frac{v^2}{r}$$. (Proof of the acceleration formulae is not required.)
• solve problems which can be modelled by the motion of a particle moving in a horizontal circle with constant speed
• solve problems which can be modelled by the motion of a particle in a vertical circle without loss of energy. (Including finding a normal contact force or the tension in a string, locating points at which these are zero, and conditions for complete circular motion.)