1 / 12

Linear & Angular Velocity

Linear & Angular Velocity. Things that turn have both a linear velocity and an angular velocity. Things that Turn - Examples. tire on a car or bike. buckets on a waterwheel. teeth on a gear. can on a kitchen cabinet lazy susan. propeller on an airplane.

haley-frost
Download Presentation

Linear & Angular Velocity

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Linear & Angular Velocity Things that turn have both a linear velocity and an angular velocity.

  2. Things that Turn - Examples tire on a car or bike buckets on a waterwheel teeth on a gear can on a kitchen cabinet lazy susan propeller on an airplane horse on a Merry-Go-Round fins on a fan or a windmill earth on its axis

  3. Linear & Angular Velocity - Examples film on a projector or tape on a videotape turntable in a microwave oven blade on a lawnmower Earth around the sun seat on a Ferris wheel rope around a pulley a record on an old record player drum/barrel in a clothes dryer

  4. Linear & Angular Velocity Definition: Linear Velocity is distance/time: Ex. 55 mph, 6 ft/sec, 27 cm/min, 4.5 m/sec Definition: Angular Velocity is turn/time: The most common unit is RPM. Ex. 6 rev/min, 360°/day, 2π rad/hour

  5. Definition of Linear Velocity: Linear & Angular Velocity Deriving a formula which relates the two velocities: Recall Arc Length Formula Recognize Definition of Angular Velocity:

  6. Rotational/Angular Velocity • Rotational velocity = Change in angle time

  7. Rotational/Angular Velocity • Objects moving in a circle also have a rotational or angular velocity, which is the rate angular position changes. • Rotational velocity is measured in degrees/second, rotations/minute (rpm), etc. • Common symbol, w (Greek letter omega)

  8. Rotational/Angular Velocity • Objects moving in a circle also have a rotational or angular velocity, which is the rate angular position changes. • Rotational velocity is measured in degrees/second, rotations/minute (rpm), etc. • Common symbol, w (Greek letter omega)

  9. Linear/Tangential Velocity • Objects moving in a circle still have a linear velocity = distance/time. • This is often called tangential velocity, since the direction of the linear velocity is tangent to the circle. v

  10. Circular Motion Terms • The point or line that is the center of the circle is the axis of rotation. • If the axis of rotation is inside the object, the object is rotating (spinning). • If the axis of rotation is outside the object, the object is revolving.

  11. Linear & Angular Velocity Find the angular velocity in R.P.M. of a microwave turntable if it turns through an angle of 36° each second.

  12. Linear & Angular Velocity The cable lifting a garage door turns around a pulley at a rate of 20 cm per second. How long will it take to lift the door 2.2 meters?

More Related