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GBK Precalculus Jordan Johnson

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GBK PrecalculusJordan Johnson

- Greetings
- Intro & Lesson: Rotary Motion
- Classwork / Homework
- Announcement: Quiz Friday, 3-1 to 3-7.
- Clean-up

- As an object rotates, there are multiple velocities:
- Angular velocity: the rotation speed in degrees, radians, or revolutions per unit of time.
- Most common example: RPM

- Linear velocity: the distance a point travels (on its arc) per unit of time.

- Angular velocity: the rotation speed in degrees, radians, or revolutions per unit of time.

- Equations:
- The angular velocity ω of an objectis the rate of rotation in radians or degrees () over t units of time:
- The linear velocity v of a point is the arc length a traversed in t units of time:

- If is an angle in radians and ωis in radians per unit of time, then the linear velocity v and arc length a are given by these equations:
- a = r
- v = rω

- Audio CDs have a constant linear velocity of 1.2 m/sec.
- Angular velocity depends on the read head’s position.
- Angular velocity is 495rpm at innermost, 212rpm at outermost.

- Tire/engine rotation
- Gear or sprocket ratios
- Angular velocity of firstgear/sprocket
- linear velocity (rateof chain/tooth motion)
- angular velocity ofsecond gear/sprocket

- For Monday:
- Read Section 3-8 and do:
- Reading Analysis questions
- Q1-Q10
- Problems 1-9 odd, 10, and 11.

- Bonus:
- Find the angular velocity of the spinning staff, and the linear velocity of the light at its end.

- Read Section 3-8 and do:

- Pick up all trash / items.
- Push in chairs (at front and side tables).
- See you tomorrow!