Waves Opening scene from Billabong Odyssey Wave Properties
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
Combination Waves Water waves are a combination of transverse and longitudinal.
Great Men Who Lived Among Waves Eddie Aikau Duke Kahanamoku
Measuring a Wave • Amplitude • Period • Frequency • Wavelength • Velocity
Waves at Boundaries Incident Wave Motion Before After Wave Motion Reflected Wave Motion Transmitted Wave
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. Wave Interference Animations • Link to Superposition animation
• 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: Where frequencies are ‘nice’ multiples of the fundamental frequency. 1 st Harmonic (The Fundamental) 2 nd Harmonic 3 rd Harmonic
Harmonics Harmonic # of Nodes # of Antinodes Pattern 1 st 2 1 2 nd 3 2 3 rd 4 3 4 th 5 4 5 th 6 5 6 th 7 6 nth n + 1 n --
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. http: //amasci. com/wing/smring. html
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