Rotational Motion & Angular Momentum

Rotational Motion & Angular Momentum

Rotational Motion

Every quantity that we have studied with translational motion has a rotational counterpart

TRANSLATIONAL

ROTATIONAL

Displacement

x Angular Displacement

Velocity

v Angular velocity

acceleration

a Angular acceleration

Mass

m

Inertia

I

Momentum

p Angular Momentum L

Force

F

Torque

Angular Position

s r

Arclength

Radius (from axis of rotation)

Measured in radians ? all angular quantities will be measured in

radians (NOT degrees)

Angular Position

? In translational motion, position is represented by a point, such as x.

? In rotational motion,

position is represented

by an angle, such as ,

p

and a radius, r.

x = 3

x

0

5

linear

p/2

r

0

angular

3p/2

Displacement

? Linear displacement is represented by the vector Dx.

? Angular displacement is represented by D, which is not a vector, but behaves like one for small values.

Dx = 4

0 p/2

x 5

linear

D 60

p

0

angular

3p/2

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