Ch 10: Rotation of Rigid Object about a Fixed Axis
Focus:
Angular Kinematics and Torque
Angular Kinematics:
x
y
θ
R
Arc-length:
θ
R
s
=
s
ω
θ
R
dt
Rd
dt
ds
v
t
=
=
=
Tangential speed:
α
ω
R
dt
Rd
dt
dv
a
t
t
=
=
=
Tangential acceleration:
dt
d
θ
ω
=
ω
R
v
t
=
or
Angular
velocity
dt
d
ω
α
=
α
R
a
t
=
or
Angular
acceleration
ω
α
Note the
signs
of
ω
,
α
here!
Choose sign
consistent
with a,v
t
.
R
a = R
α
v
t
= R
ω
Example:
Rolling
Memorize!

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