Chapter 10 - Rotation Rotational Variables Torque Moment of Inertia Rotational Energy Chapter 10 - Rotation “To know that we know what we know, and to know that we do not know what we do not know, that is true knowledge.” -Nicolas Copernicus David J. Starling Penn State Hazleton PHYS 211
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Chapter 10 - Rotation - Pennsylvania State University 10 - Rotation Rotational Variables Torque Moment of Inertia Rotational Energy Rotational Variables We want to describe the rotation
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Chapter 10 - Rotation
Rotational Variables
Torque
Moment of Inertia
Rotational Energy
Chapter 10 - Rotation
“To know that we know whatwe know, and to know that wedo not know what we do notknow, that is true knowledge.”
-Nicolas Copernicus
David J. StarlingPenn State Hazleton
PHYS 211
Chapter 10 - Rotation
Rotational Variables
Torque
Moment of Inertia
Rotational Energy
Rotational Variables
We want to describe the rotation of a rigid bodyabout a fixed axis.
The object does not deform, and the axis stays put.
Chapter 10 - Rotation
Rotational Variables
Torque
Moment of Inertia
Rotational Energy
Rotational Variables
We want to describe the rotation of a rigid bodyabout a fixed axis.
The object does not deform, and the axis stays put.
Chapter 10 - Rotation
Rotational Variables
Torque
Moment of Inertia
Rotational Energy
Rotational Variables
The kinematic and dynamic variables we have
used so far have their rotational counterparts:
How far has the rigid body rotated?
θ =sr
and θ ↔ x
[note: 1 revolution = 360◦ = 2π radians]
Chapter 10 - Rotation
Rotational Variables
Torque
Moment of Inertia
Rotational Energy
Rotational Variables
The kinematic and dynamic variables we have
used so far have their rotational counterparts:
How far has the rigid body rotated?
θ =sr
and θ ↔ x
[note: 1 revolution = 360◦ = 2π radians]
Chapter 10 - Rotation
Rotational Variables
Torque
Moment of Inertia
Rotational Energy
Rotational Variables
The kinematic and dynamic variables we have
used so far have their rotational counterparts:
How far has the rigid body rotated?
θ =sr
and θ ↔ x
[note: 1 revolution = 360◦ = 2π radians]
Chapter 10 - Rotation
Rotational Variables
Torque
Moment of Inertia
Rotational Energy
Rotational Variables
If θ is like position, then ∆θ is like displacement.
This is the reference line of a rigid body.
∆θ = θ2 − θ1
[note: counterclockwise is positive]
Chapter 10 - Rotation
Rotational Variables
Torque
Moment of Inertia
Rotational Energy
Rotational Variables
If θ is like position, then ∆θ is like displacement.
This is the reference line of a rigid body.
∆θ = θ2 − θ1
[note: counterclockwise is positive]
Chapter 10 - Rotation
Rotational Variables
Torque
Moment of Inertia
Rotational Energy
Rotational Variables
If θ is like position, then ∆θ is like displacement.
This is the reference line of a rigid body.
∆θ = θ2 − θ1
[note: counterclockwise is positive]
Chapter 10 - Rotation
Rotational Variables
Torque
Moment of Inertia
Rotational Energy
Rotational Variables
Angular velocity ω is like linear velocity, except
x→ θ.
ωavg =∆θ
∆tand ω =
dθdt
Chapter 10 - Rotation
Rotational Variables
Torque
Moment of Inertia
Rotational Energy
Rotational Variables
Angular velocity ω is like linear velocity, except
x→ θ.
ωavg =∆θ
∆tand ω =
dθdt
Chapter 10 - Rotation
Rotational Variables
Torque
Moment of Inertia
Rotational Energy
Rotational Variables
Angular acceleration α is like linear acceleration,
except v→ ω.
αavg =∆ω
∆tand α =
dωdt
Chapter 10 - Rotation
Rotational Variables
Torque
Moment of Inertia
Rotational Energy
Rotational Variables
Angular acceleration α is like linear acceleration,