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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