Rotational dynamics (AQA A-Level Physics): Flashcards

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Mathematics of circular motion
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Angular velocity formula (ω)

ω=ΔθΔt\omega = \frac{\Delta\theta}{\Delta t}

Units of angular velocity

rad s⁻¹ (radians per second)

Definition of a radian

Angle when arc length equals the radius

Radians in a full circle

2π2\pi radians

Period of rotation formula (T)

T=2πωT = \frac{2\pi}{\omega}

Tangential velocity formula (v)

v=rωv = r\omega

How tangential velocity changes with radius

Increases with distance from centre

Angular acceleration formula (α)

α=ΔωΔt\alpha = \frac{\Delta\omega}{\Delta t}

Units of angular acceleration

rad s⁻² (radians per second squared)

Tangential acceleration formula (a)

a=rαa = r\alpha

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