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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

What type of interference would result?

Constructive

Destructive

Partial

No interference

Interfering Sound Waves

+

Greater pressure fluctuations

More & less intense means louder and softer

Greater amplitude

Interfering Sound Waves

+

Greater pressure fluctuations

More & less intense means louder and softer

Amplitude is zero

Phase Chart for Interfering Waves

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

What factors might influence type of interference?

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)

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