Kinematics of Circular Motion 2 (AQA A-Level Further Maths): Flashcards

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Kinematics of Circular Motion 2
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Formula for linear speed in circular motion

v=romegav = romega

Formula for centripetal acceleration

a=romega2=v2ra = romega^2 = \frac{v^2}{r}

Direction of centripetal acceleration

Towards the centre

Formula for centripetal force

F=mrω2=mv2rF = mr\omega^2 = \frac{mv^2}{r}

Direction of centripetal force

Towards the centre

What centripetal force represents

Resultant force required to maintain circular motion

Formula for time period in circular motion

T=2πωT = \frac{2\pi}{\omega}

Why acceleration exists at constant speed in circular motion

Velocity changes direction continuously

Vector form of centripetal acceleration

a=ω2r\mathbf{a} = -\omega^2\mathbf{r}

Meaning of 'centripetal'

Centre-seeking

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