Chapter 9 Circular Motion.

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Presentation transcript:

Chapter 9 Circular Motion

Rotation and Revolution

The axis of rotation is internal. The center of the circular motion (called the “axis”) is within the object (it is “internal”). The axis of rotation is internal.

The axis of rotation is external. Revolution The center of the circular motion (called the “axis”) is outside, away from the object (it is “external”). The axis of rotation is external.

Example: Rotation Revolution Steering Wheel You on a Ferris Wheel Minute Hand on a Clock “Revolving” Door Car on a Race Track

Does the Moon Revolve or Rotate?

Tangential Velocity

Look at the fan blade. How fast is it going? Notice the mark on one blade.

We need to calculate: Rotational Speed (ω) Tangential Speed (v) They are related to each other by the radius.

A digital strobe light can help us determine the rotational speed.

Measuring Rotational Speed If the flash rate (FPM) equals the rotational speed (RPM) the blade appear to stand still! Read out tells flashes per minute (FPM)

Demonstration

Calculating Tangential Speed from Rotational Speed Consider one trip around for the marked spot. For all constant speed motion, velocity = distance/time In this case, the distance is one circumference and the time is one period. Therefore

Example: If the radius is 20 cm and the RPM=1000, find tangential speed.

Fix the radius units: r =20 cm = 0.20 m Example: If the radius is 20 cm and the RPM=1000, find tangential speed. Fix the radius units: r =20 cm = 0.20 m Determine the period: T = 60sec/1000rev = 0.06 sec/rev

Example: If the radius is 20 cm and the RPM=1000, find tangential speed. Fix the radius units: r =20 cm = 0.20 m Determine the period: T = 60sec/1000rev = 0.06 sec/rev

Find: (Solutions given in class) Practice Example: A girl runs around a circular track that has a diameter of 50-m. She runs 5 laps in 7.5 minutes. Find: (Solutions given in class) Rotational speed (rev/s) Period (s/rev) c) Tangential speed (m/s)

Assignment 9a