Moment of inertia (AQA A-Level Physics): Flashcards

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Moment of inertia
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Formula for torque (TT) given force FF and distance ss

T=FsT = Fs

Unit of torque

Newton metre (N m)

What moment of inertia (II) measures

Resistance to rotational acceleration about an axis

Moment of inertia for particle mass mm at distance rr

I=mr2I = mr^2

Unit of moment of inertia

kg m²

Rotational form of Newton's second law

T=mr2αT = mr^2\alpha

Moment of inertia for hoop about central axis

I=mr2I = mr^2

Moment of inertia for solid disc about central axis

I=12mr2I = \frac{1}{2}mr^2

Moment of inertia for solid sphere about diameter

I=25mr2I = \frac{2}{5}mr^2

How moments of inertia combine for common axis

They add together: Itotal=I1+I2+...I_{\text{total}} = I_1 + I_2 + ...

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