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WAVES

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What do these things have in common?

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Think about what characteristics make these things similar and write them down.

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Characteristics of a Wave Amplitude, A - the maximum displacement of wave

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Characteristics of a Wave Period, T -the time it takes to complete one cycle in seconds

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Characteristics of a Wave Frequency, f -number of cycles/vibrations per unit of time. Unit is Hz - Hertz High f Low f

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Characteristic of a Wave Wavelength, λ, length of a wave measured in meters.

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Relationship between period and frequency- it’s complicated… f = 1 / T frequency = 1 / Period or T = 1 / f Period = 1 / frequency

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Types of Waves Longitudinal Particles in the wave move parallel to the motion of the wave. Transverse Particles in the wave move perpendicular to the motion of the wave.

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Characteristics of Wave Types Longitudinal Compression, rarefraction (stretching), wavelengths λ Transverse Crests, troughs, wavelengths λ

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Draw Wave Label Crests Troughs Wavelengths Period Amplitude Transverse

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Draw Wave Label Compression Rarefractions Wavelengths Period Amplitude Longitudinal

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Speed of Wave Speed = distance / time Speed = amount of distance a wave travels / time it takes the wave to cover that distance

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Example Mac and Tosh are resting on top of the water near the end of the pool when Mac creates a surface wave. The wave travels the length of the pool and back in 25 seconds. The pool is 25 meters long. Determine the speed of the wave.

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Example The period of a wave is 0.0300 seconds. It travels at a velocity of 10.0 m/s. Determine the frequency and the wavelength of the wave.

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STANDING WAVES A standing wave is a traverse wave that does not travel. For this to happen, both ends of the waves need to be attached to something.

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Standing wave

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http://www.acs.psu.edu/drussell/Demos/Standi ngWaves/StandingWaves.html

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Nodes and antinodes Nodes- places of no displacement on a wave Antinodes – midway between nodes and a place where displacement is at a maximum

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How many nodes/antinodes? 5 nodes 4 antinodes

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How many nodes/antinodes? Nodes? Antinodes?

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Interference Interference is when waves add or subtract and interact with each other

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Types of Interference CONSTRUCTIVE Adding up of waves DESTRUCTIVE Subtracting waves

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What kind of interference?

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Superposition Principle- the addition of waves http://www.sciencejoywagon.com/physicszone/ 09waves/ http://www.feilding.net/sfuad/musi3012- 01/html/lectures/004_sound_III.htm

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Vibrations and Waves Chapter 11.

Vibrations and Waves Chapter 11.

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