Linear & Angular Velocity

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# Linear & Angular Velocity - PowerPoint PPT Presentation

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.

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## Linear & Angular Velocity

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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?