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Rotational Kinematics and Dynamics. AP Physics Lecture Notes. Angular Kinematics. s. radian (rad). q. r. Angular Kinematics. Angular Kinematics. Angular Displacement. Angular Kinematics. Average angular Speed. Instantaneous angular Speed. Angular Kinematics.

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Rotational Kinematics

and Dynamics

AP Physics

Lecture Notes



s

radian (rad)

q

r

Angular Kinematics


Angular Kinematics

Angular Displacement


Angular Kinematics

Average angular Speed

Instantaneous angular Speed


Angular Kinematics

Average angular Acceleration

Instantaneous angular Acceleration


Angular Kinematics

Quantity Linear Angular

Displacement x q

Velocity v w

Acceleration a a


Linear Equations

Angular Equations

Displacement x q

Angular Kinematics

Velocity v w

Acceleration a  a


Angular Kinematics

Angular and Linear Relationships


m1

r

m2

v

Moment of

Inertia

v

Rotational Energy

Rotational

Kinetic Energy


Moment of Inertia

Calculating moment of inertia


Example

I = ?

L = 1.5 m

m = 2.5 kg

D

L

Parallel-axis Theorem


F

q

q

r sin(q)

r

Torque


F

a

Newton’s 2nd law

for rotation

Newton’s 2nd Law for Rotation

r

m


Rotational Energy

F

q

ds

dq

r


Rotational

Work-Energy

Theorem

Rotational Energy



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