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Presentation Transcript

Agenda

- Review Simple Harmonic Wave model
- Graphing practice (briefly)

- Introduce total phase
- Phase chart representation

- Introduce interference
- Phase chart representation
- Causes of interference types

The Total Phase

- Making sense of the wave equation:
- Using Total Phase Charts:

Total Phase

- Which of the following includes only points with a total phase of exactly/2?
A) All

B) ABC

C) ADG

D) AEH

E) ACF

Total Phase

- Which of the following includes only points with a total phase equivalent to /2?
A) All

B) ABC

C) ADG

D) AEH

E) ACF

Fixed Phase Constant

- Which of the following lists only points with a fixed phase constant of exactly to/2?
A) All (The wave paramaters apply at all peaks. They share the same amplitude, equilibrium, wavelength, period, and fixed phase constant)

B) ABC (These were all at t=0 s for different positions)

C) ADG (These were all at x=0 m for different times)

D) AEH (These were all at peaks--quite likely the same peak that had traveled, and thus =/2)

E) ACF (These were all at peaks, though at least A and C were different peaks. at each is equivalent to /2)

The Total Phase

- Making sense of the wave equation:
- Using Total Phase Charts:

Interference: When Waves Meet

- Phenomena:
- Interfering pulses on the wave machine
- Interfering block-wave

- Using Total Phase
- Equivalent total phase: Constructive
- Total phase separated by half-cycle: Destructive

A vibrating object acts as the source of the wave. As a speaker moves through a cycle, it fixes the period and frequency.

- A = Amplitude, controlled by what starts the wave
- T = Period, how long to get back to where it started
= Wavelength, repeat distance in space

T = where f is the frequency

Velocity v =

Interfering Sound Waves speaker moves through a cycle, it fixes the period and frequency.

What type of interference would result?

Constructive

Destructive

Partial

No interference

Interfering Sound Waves speaker moves through a cycle, it fixes the period and frequency.

+

Greater pressure fluctuations

More & less intense means louder and softer

Greater amplitude

Interfering Sound Waves speaker moves through a cycle, it fixes the period and frequency.

+

Greater pressure fluctuations

More & less intense means louder and softer

Amplitude is zero

Phase Chart for Interfering Waves speaker moves through a cycle, it fixes the period and frequency.

- Same rough format, but add difference (most important part!)

What factors might influence type of interference? speaker moves through a cycle, it fixes the period and frequency.

Anything that helps determine total phase!!!

What is responsible for the destructive interference in this case?

x=0

x=/2

x

None of the above

What is responsible for the destructive interference in this case?

x=0

x=/2

x

None of the above

(and other terms like =0)

Interference for differing frequencies: Beats. case?

1

2

3

4

5

What type of interference occurs at each point?

Wavefront Representation case?

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