1
CHAPTER 9
ROTATION
• Angular velocity and angular acceleration
o
equations of rotational motion
• Torque and Moment of Inertia
o
Newton’s 2nd Law for rotation
• Determination of the Moment of Inertia
• Rotational kinetic energy
o
power
• Rolling objects (with no slip)
Angular velocity and angular acceleration
The arc length moved by the i
th
element in a rotating
rigid, non-deformable disk is:
ds
r d
i
i
=
θ
where
d
θ
is in radians.
The
angular velocity
of the
rotating disk is defined as:
ω
θ
=
d
dt
,
and so the
linear velocity
of the i
th
element (in the
direction of the tangent) is:
v
ds
dt
r
i
i
i
=
=
ω
.
θ
i
r
r
i
ds
i
d
θ

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*