Waves. Opening scene from: Billabong Odyssey Wave Properties Wave – A rhythmic disturbance that carries energy through matter or space. Pulse – Single.

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Presentation transcript:

Waves

Opening scene from: Billabong Odyssey

Wave Properties Wave – A rhythmic disturbance that carries energy through matter or space. Pulse – Single ‘bump’ / disturbance that travels through medium. Medium – matter (or lack thereof) through which waves travel.

Transverse Waves Wave that vibrates medium perpendicular to direction of wave motion.

Longitudinal Wave Wave that vibrates medium parallel to direction of wave motion. Sound Molecules resonating in a closed pipe

Water waves are a combination of transverse and longitudinal. Combination Waves

Great Men Who Lived Among Waves Duke Kahanamoku Eddie Aikau

Measuring a Wave Amplitude Period Frequency Wavelength Velocity

Waves at Boundaries Incident Wave Reflected WaveTransmitted Wave Wave Motion Before After

Waves at Boundaries From Low Density to High Density Reflected ‘Inverted’, Transmitted ‘Upright’ Animations courtesy of Dr. Dan Russell, Kettering University

Waves at Boundaries From High Density to Low Density Reflected ‘Upright’, Transmitted ‘Upright’

Superposition of Waves Superposition: When 2 waves cross paths. Principle of Superposition: When 2 waves meet, the new wave formed is the sum of the two incident waves. Interference: the result of wave superposition. Link to Superposition animation Wave Interference Animations

2 waves of same frequency, same direction, different speeds. Varying constructive and destructive interference 2 waves of same frequency, different direction, same speeds. Result is a standing wave (note what’s called the node and anti-node) 2 waves of slightly different frequency, same direction, same speeds. Result is known as ‘beat’ oscillation.

Standing Waves Standing waves occur when 2 waves of identical frequency and speed interfere with one another while travelling in opposite directions. Node: Point on a wave that doesn’t move. Anti-Node: Point on wave that moves the most.

Harmonics 1 st Harmonic (The Fundamental) 2 nd Harmonic 3 rd Harmonic Harmonics: Where frequencies are ‘nice’ multiples of the fundamental frequency.

Harmonic# of Nodes# of AntinodesPattern 1st21 2nd32 3rd43 4th54 5th65 6th76 nthn + 1n-- Harmonics

Mode Diagrams for Circular Membranes Diagram Mode Desig. Rel. Frequency

How the Vortex Gun Works When you throw a rock through the air, the air moves around it.