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PHYS 1155 (38)
Tom Kelley (38)
Chapter 15

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PHYS 1155
Tom Kelley

Chapter 15: Mechanical Waves Transverse Wave: displacements of the medium are perpendicular to the direction of the wave Longitudinal Wave: The motion of the particles of the medium are in the same direction as the wave -In Longitudinal Waves crests and troughs are areas where pressure and density are greater or less than the equilibrium values *Wave speed (v) is determined by the medium* -Waves of all frequencies propagate with the same velocity in the same medium -Physical quantities that determine the speed of transverse waves are tension (F) and mass per unit length (linear mass density) ( ) - Increasing tension (F), increases restoring forces thus increases the wave speed -Increasing mass, decreases speed Simple Harmonic Motion (sinusoidal waves)-follow a sin or cosine function motion -Every particle in the medium undergoes simple harmonic motion with the same frequency Angular frequency where the Period The wave speed for a periodic wave Wave Function Wave starts at x=0 and travels to some x to the right in amount of time x/v For a sinusoidal wave traveling in the (+) x-direction or given that and , For a sinusoidal wave traveling in the (-) x-direction or Also for a periodic wave, -If you look at the wave at a constant point in time t, If you graphed this wave for the specific point in time n, in an x-y plot, the graph shows y (the height of the wave) versus x (the horizontal distance along the wave. -If you look at a single point along the wave x, the wave equation simplifies to If you graphed this function, the graph shows how a particle in the medium moves with time, and shows y (vertical oscillations of the particle) vs t (time). Is called a phase, which in an angular quantity measured in radians. It’s value for any x and t determines what part of the sinusoidal wave is occurring -Wave, or phase, speed is the speed we have to move along with the wave to keep alongside a given point - . Transverse Velocity (v ) y Transverse points move along the y-direction not propagation direction - Velocity of any particle i
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