2. Electricity, Sound and Light

3. Chapter Nine: Waves and Sound 9.1 Harmonic Motion 9.2 Waves 9.3 Sound

4. Investigation 9A How do we describe back and forth, or repeating motion? The Motion of a Pendulum

5. 9.1 Harmonic motion A.Harmonic motion is motion that repeats over and over. B.Linear motion gets us from one place to another.

6. 9.1 Harmonic motion One full back-and-forth swing of a child on a swing is one cycle. A pendulum has a cycle like the one below.

7. 9.1 Harmonic motion An oscillator is a physical system that has repeating cycles. Systems that oscillate always move back and forth around a center or equilibrium position. A restoring force is any force that always acts to pull a system back toward equilibrium.

8. 9.1 Harmonic motion If a pendulum is pulled forward, gravity creates a restoring force that pulls it back, toward equilibrium. If the pendulum is moved backward, gravity pulls it forward, back to equilibrium again.

9. 9.1 Harmonic motion According to the first law, an object in motion tends to stay in motion. Inertia causes the pendulum to overshoot its equilibrium position every time.

10. 9.1 Harmonic motion Harmonic motion can be fast or slow, but speed constantly changes during its cycle. We use period and frequency to describe how quickly cycles repeat themselves. The time for one cycle to occur is called a period. The frequency is the number of complete cycles per second. Frequency and period are inversely related. One cycle per second is called a hertz, abbreviated (Hz).

12. 9.1 Amplitude Amplitude describes the “size” of a cycle. The amplitude is the maximum distance the oscillator moves away from its equilibrium position.

13. 9.1 Amplitude A pendulum with an amplitude of 20 degrees swings 20 degrees away from the center in either direction. Friction slows a pendulum down, just as it slows all motion. We use the word damping to describe the gradual loss of amplitude.

14. 9.1 Amplitude A good way to find the amplitude of a water wave is to measure the distance between the highest and lowest points on the wave. The amplitude is half this distance.

15. 9.1 Graphs of harmonic motion A graph is a good way to show harmonic motion because you can quickly recognize cycles. Graphs of linear motion do not show cycles.

18. 9.1 Natural frequency and resonance The natural frequency is the frequency (or period) at which a system naturally oscillates. Every system that oscillates has a natural frequency.

19. 9.1 Natural frequency and resonance You can get a swing moving by pushing it at the right time every cycle. A force that is repeated over and over is called a periodic force.

20. 9.1 Natural frequency and resonance Resonance happens when a periodic force has the same frequency as the natural frequency. When this happens, each push adds to the next one and the amplitude of the motion grows. The big amplitude of a swing is an example of resonance.