Linear waves, Physics 210 Chp. 16 calculus homework help

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Physics 210 Chp. 16: Linear Waves Name ____________________________________ Six different waves are described by the following functions. (Distances are in meters, times in seconds) y1 = 5 sin (10 x – 2 t) y4 = 5 sin (10 x – 2 t + π) y2 = 5 sin (–10 x + 2 t) y5 = 8 sin (10 x – 2 t) y3 = 5 sin (10 x + 2 t) y6 = 5 sin (12 x – 2.4 t) (1) Waves y1 through y5 all have the same frequency, wavelength, and wave speed. Calculate their: wavelength λ = __________ frequency f = __________ wave speed v = __________ (2) For wave y6, give its: wavelength λ = __________ frequency f = __________ wave speed v = __________ (3) If y1 and y3 are superimposed, the result will be: (underline one) { constructive interference, destructive interference, standing waves, beats } (4) If y1 and y4 are superimposed, the result will be: (underline one) { constructive interference, destructive interference, standing waves, beats } (5) If y1 and y2 are superimposed, the result will be: (underline one) { constructive interference, destructive interference, standing waves, beats } (6) If y1 and y5 are superimposed, the result will be: (underline one) { constructive interference, destructive interference, standing waves, beats } (7) When waves y1 and y6 are superimposed, beats will be heard. What is the “beat” frequency? (i.e., how many amplitude maxima will be heard per second?)
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Physics 210
Chp. 16: Linear Waves

Name ____________________________________

Six different waves are described by the following functions. (Distances are in meters, times in seconds)
y1 = 5 sin (10 x – 2 t)
y4 = 5 sin (10 x – 2 t + π) y2 = 5 sin...


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