Gbk precalculus jordan johnson
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GBK Precalculus Jordan Johnson. Today’s agenda. Greetings Intro & Lesson: Rotary Motion Classwork / Homework Announcement : Quiz Friday, 3-1 to 3-7. Clean-up. A DVD:. Rotary Motion. As an object rotates, there are multiple velocities:

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GBK Precalculus Jordan Johnson

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Gbk precalculus jordan johnson

GBK PrecalculusJordan Johnson


Today s agenda

Today’s agenda

  • Greetings

  • Intro & Lesson: Rotary Motion

  • Classwork / Homework

  • Announcement: Quiz Friday, 3-1 to 3-7.

  • Clean-up


A dvd

A DVD:


Rotary motion

Rotary Motion

  • 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.


Rotary motion1

Rotary Motion

  • 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:


Conversions linear velocity angular velocity

Conversions:Linear Velocity  Angular Velocity

  • 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


Linear angular velocity

Linear & Angular Velocity

  • 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.


Other applications

Other Applications

  • Tire/engine rotation

  • Gear or sprocket ratios

    • Angular velocity of firstgear/sprocket

    •  linear velocity (rateof chain/tooth motion)

    •  angular velocity ofsecond gear/sprocket


Classwork hw

Classwork / HW:

  • 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.


Clean up reminders

Clean-up / Reminders

  • Pick up all trash / items.

  • Push in chairs (at front and side tables).

  • See you tomorrow!


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