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# Physics chapter 2

### Circular Motion

TermDefinition
angle at the centre of a circle (rads) (θ) = arc length(s) / radius of arc(r)
rotational frequency (Hz) no. of turns in a given time (revs per min - rpm) =1/T
angular speed (w) (rads-1) angle turned through in one sec =2πf or 2π/T =linear speed(v) / radius
linear speed (v) (m.s-1) distance covered per unit time =radius(r) x angular speed(w)
centripetal acceleration(m.s-2) acceleration in a circle, directed towards the middle =radius(r) x angular speed(w)^2 =linear speed(v)^2 / radius(r)
centripetal force(N) is the resultant force =mass x velocity^2 / radius =mass x radius x angular speed(w)^2
centripetal force -increases with mass -increases with square of speed -decreases as radius increases
period (T) seconds for one revolution =1/f
linear displacement(s) (metres) distance traveled along circle =angular displacement(θ) x radius
angular displacement(θ) (rads) angle traveled through =2π x t / period(T) =angular speed(w) x t