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Traveling Waves. Lecture 34 Friday. December 5. Exam 4 Average = 88.4. Waves. Sound Water Electromagnetic Traveling versus Standing. Waves on a String. Wave on a string-motion perpendicular to string-pulse. t=1.34 s. t=2.05 s. Speed of a wave on a string. Linear mass density.

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## Traveling Waves

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**Traveling Waves**Lecture 34 Friday. December 5**Waves**• Sound • Water • Electromagnetic • Traveling versus Standing**Waves on a String**• Wave on a string-motion perpendicular to string-pulse t=1.34 s t=2.05 s**Speed of a wave on a string**• Linear mass density**String**• Motion is perpendicular to the string and to the direction the wave is moving. Hence a transverse wave.**Sound**• Pressure wave, air particles move back and forth in the direction of propagation—hence a longitudinal wave. • Speed in air at t=200 C = 343 m/s**Graphing a Wave**• For a fixed x=x0 we can plot the wave versus time: • A “history” graph, motion at a fixed point as a function of time. y(t) t**Snapshot Graph**• For a fixed time, t=t1 y(x) x**Sinusoidal Waves**• Any wave can be written as the sum of sinusoidal waves—Fourier • y depends on x and t • In one period t, wave goes through one oscillation**Wave goes through one oscillation if we change x by one**wavelength ( a wavelength is the period In space.) Putting these together: For a wave moving to the right, plus x-direction**How many waves pass a point in one second?**How long is this train of waves? Thus**Problem 15.13**• The motion detector used in physics lab sends out 40 kHz ultrasonic pulses. A pulse goes out, reflects of the object being measured, and returns to the detector. The lab temperature is 200 C. • A) What is the wavelength? • B) time for a round trip to an object 2.5m away?**Monday**• 15: 4-6 Sound and Light • Problems 15: 1, 4, 7, 13, 15, ,17, 18

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