Circular Motion 1 (AQA A-Level Further Maths): Flashcards

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Kinematics of Circular Motion
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Unit of angular displacement θ\theta

Radians

Formula for arc length ss in terms of rr and θ\theta

s=rθs = r\theta

One complete revolution in radians

2π2\pi radians

Formula: linear velocity vv and angular velocity ω\omega

v=rωv = r\omega

Definition of angular velocity ω\omega

ω=dθdt\omega = \frac{d\theta}{dt}

Formula for time period TT using ω\omega

T=2πωT = \frac{2\pi}{\omega}

Centripetal acceleration formula using ω\omega and vv

a=rω2a = r\omega^2 or a=v2ra = \frac{v^2}{r}

Direction of centripetal acceleration

Towards the centre of the circle

Centripetal force formula

F=mrω2F = mr\omega^2 or F=mv2rF = m\frac{v^2}{r}

Is centripetal force a new type of force?

No, it's the resultant force directed towards the centre

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