PHYS 101 Lecture Notes - Lecture 19: Angular Velocity, Angular Acceleration, Circular Motion

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PHYS 101: Physics for the Life Sciences Lecture 19:
Non-Uniform Rotational Motion
Angular Displacement -
(θfθi)
k ̂
¿Δθ
(radians)
Angular Velocity -
d θ
dt =ω
(radians/second)
Angular Acceleration -
d ω
dt =α
(radians/second2)
Case 1:
Consider a wheel rotating counterclockwise and speeding up.
Angular Velocity is positive and its getting more positive.
Angular Acceleration points out of the page (positive angular acceleration).
ω=positive
α=positive
Case 2:
Consider a wheel rotating counterclockwise and slowing down.
Angular Velocity is positive and its getting less positive.
Angular Acceleration points out of the page (negative angular acceleration).
ω=positive
α=negative
Case 3:
Consider a wheel rotating clockwise and speeding up.
Angular Velocity is negative and its getting more negative.
Angular Acceleration points out of the page (negative angular acceleration).
ω=negaitive
α=negative
Case 4:
Consider a wheel rotating clockwise and slowing down.
Angular Velocity is negative and its getting less negative.
Angular Acceleration points out of the page (positive angular acceleration).
ω=negaitive
α=positive
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