PPT-Standing Waves, Beats, and Group Velocity

Group velocity the speed of information Groupvelocity dispersion Superposition again Standing waves the sum of two oppositely traveling waves Beats the sum of two different frequencies 1. Sections 9.3 and 9.4. Key Terms. Beat. Beat Frequency. Resonant Frequency. Resonance. Beats. The when tapping your toes “to the beat”, you are actually experiencing the rhythm of the music.. An acoustical . Section 9.2. Key Terms. Media Boundary. Free-end Reflection. Fixed-end Reflection. Transmission. Standing Wave. Node. Antinode. Fundamental Frequency/First Harmonic. Harmonics. Overtone. Media Boundaries. Introduction to Physics II. . Class 3 – . Outline:. Ch. 21, sections . 21.1-21.4. The . Principle of Superposition . Standing . Waves . Nodes . and Antinodes . Musical . Instruments. Class 3 – . 5. : . Superposition of waves. Chapter . 5. : . Superposition of waves. Superposition principle. applies to . any. linear system. At a given place and time, the net response caused by two or more stimuli is the sum of the responses which would have been caused by each stimulus individually.. Beats. Oscillation of . Frequency. . From Pain. 2A. 0. Different amplitudes. Velocity of the envelope .  Group Velocity . Dispersive Medium. Non-dispersive Medium. Normal dispersion. Anomalous dispersion. Physics of Music, Spring . 2016. Key terms. Bernoulli’s Equation. Pressure vs. velocity. Compression vs. rarefaction. Open . vs. Closed Tubes. Node . vs. anti-node. Even and Odd . harmonics. Kundt’s. Acoustical Beat. Periodic change in sound intensity caused by interference between two nearly identical sound waves. They occur when the frequency of the 2 waves is nearly identical. You hear beats as a change in loudness, from soft to loud. Key Terms. Beat. Beat Frequency. Resonant Frequency. Resonance. Beats. The when tapping your toes “to the beat”, you are actually experiencing the rhythm of the music.. An acoustical . beat. is the periodic change in sound intensity caused by the interference between two nearly identical sound waves.. 1-d and 2-d waves. Wavefront. :. The actual 2-d wave . that we see moving. Ray:. The “vector”, drawn perpendicular to the . wavefront. , that shows the direction in which the wave is propagating (. for . two identical waves traveling in opposite directions.. .  Snapshots . of the blue and the green waves and their red sum shows a wave that appears to not be traveling..  Because . the resultant red wave is not traveling it is called a . Looking back, it may seem odd that two decades passed between the 1905. discovery of the particle properties of waves and the 1924 speculation that particles might show wave behavior. It is one thing, however, to suggest a revolutionary concept to explain otherwise mysterious data and quite another to suggest an equally revolutionary concept without a strong experimental mandate. The latter is just what Louis de Broglie did in 1924 when he proposed that moving objects have wave as well as particle characteristics. So different was the scientific climate at the time from that around the turn of the century that de Broglie’s ideas soon received respectful attention, whereas the earlier quantum theory of light of Planck and Einstein had been largely ignored despite its striking empirical support. The existence of de Broglie waves was experimentally demonstrated by 1927, and the duality principle they represent provided the starting point for Schrödinger’s successful development of quantum mechanics in the previous year. Michael Fowler, . UVa. Today’s Topics. Dimensions. Wave types: transverse and longitudinal. Wave velocity using dimensions. Harmonic waves. Dimensions. There are three fundamental units in mechanics: those of mass, length and time. . ?. Why does your debit card have a black strip on . the back?. SLC today. E&M Quiz. 10 questions. 3 MC, 6 written, 1 drawing. Scientists. Electromagnetic Induction, Electromotive force. Magnetic field lines. 18-1 Mechanical waves. In this chapter, we consider only . mechanical waves. , such as . sound waves. , . water waves. , and . the waves transmitting in a guitar’s strings.. . . Elastic mediums.