angular velocity – Learn Physics

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Read and takes notes on Section 7.1; pages 189-192. Turn in your notes for credit.

Work on all odd-numbered problems on page 218-219, numbers 1-13. Show all your work, and show both the SAE (inches, miles, etc.) and metric values when presented with SAE values (OK to use your phone for conversions).

Complete all problems for homework.

Remember you can check the answers to the odd-numbered problem in the back of the book, or the scanned versions here.

In our next unit we will be studying rotational motion. So far, the motion we have been studying is translational–where object move from one place to another. In rotational motion, things go around in circles, but the system doesn’t move from one place to another.

Comparing translational and rotational motion.

Translational concept	Equation and symbol	Rotational Concept	Equation and symbol
Displacement	∆x	Angular displacement	∆Φ
Velocity	V=∆x/∆t	Angular velocity	ω = ∆Φ/∆t
Acceleration	a=∆v/∆t	Angular acceleration	α = ∆Ω/∆t
Mass	M	Moment of inertia	I = m ∙ r²
Force	F=m ∙ a	Torque	τ = r ∙ f = I ∙ α
Work	W=F ∙ d ∙ cos(θ)	Work	$W=\tau \phi$
Power	P=F ∙ v	Power	P = τ ∙ ω
Kinetic energy	$K=\frac{1}{2}mv^{2}$	Kinetic energy	$K=\frac{1}{2}I\omega ^{2}$

Greek letters used above

You need to be able to use the name for these Greek letters

Φ phi (lower case)
ω omega (lower case)
α alpha (lower case)
Ι iota (upper case)
τ tau (lower case)

Tag: angular velocity

3/9 AP: Practice with angular speed and acceleration

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3/6 AP: Introduction to angular motion

Comparing translational and rotational motion.

Greek letters used above