11-14-07 Mechanical Waves

11-14-07 Mechanical Waves - periodicity T(=repetition time)...

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Physics 131, Lecture 27 Abhay Deshpande Mechanical Waves
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Mechanical Waves A mechanical wave is a “disturbance” that travels through a medium: particles of the medium undergo displacement from and/or oscillations about their equilibrium position as the wave passes by…. – Mechanical waves are possible only because of the restoring force acting on the particle that make up the medium…. – Examples: Transverse pulse in a stretched rope Longitudinal pulse in a slinky • Water waves are a combination of both – Although the participants in the wave motion move around their equilibrium position, and thus stay “in the same place on average”, the wave travels on and transports energy and momentum form one place to the next – In a uniform medium, the disturbance travels with a characteristic speed v , which is determined by the medium properties (density, mass/length, tension, elastic modulus, temperature,….)
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Periodic Waves A periodic wave is a disturbance that re-occurs with a certain temporal
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Unformatted text preview: periodicity T(=repetition time) and travels as a disturbance through the medium with a spatial periodicity called “wave length” λ (repetition length) – At any given location on the path of the wave the local medium moves with period of motion Period T – The pattern of the disturbance repeats itself along the direction of its motion with repetition length called wavelength: λ – Clearly these relate to the propagation speed as; v= λ / T= λ f Traveling Wave Function y(x,t) • SHM of “waving” particles of the medium is particularly simple, and both the movie of the motion and the shape of the traveling disturbance will be sinusoidal functions. • Denoting the “disturbance” (e.g. the transverse displacement of a string) as y, a function of two variables position x and time t, we eed to find y(x,t): – At a fixed point x=x 1...
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This note was uploaded on 09/26/2008 for the course PHY 131 taught by Professor Rijssenbeek during the Fall '03 term at SUNY Stony Brook.

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11-14-07 Mechanical Waves - periodicity T(=repetition time)...

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