phy2048 lecture30

phy2048 lecture30 - Chapter 16: Waves--I 161 What Is...

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Unformatted text preview: Chapter 16: Waves--I 161 What Is Physics? 162 Type of Waves 163 Transverse and Longitudinal Waves 164 Wavelength and Frequency 165 The Speed of a Traveling Wave 166 Wave Speed on a Stretched String 167 Energy and Power of a Wave Traveling Along a String 168 The Wave Equation 169 The Principle of Superposition for Waves 1610 Interference of Waves 1611 Phasor 1612 Standing Waves 1613 Standing Waves and Resonance Chapter 16 Homework 1, 7, 8, 14, 17, 20, 32, 42, 43, 47, 50, 58 Types of Waves Three Main Types Mechanical waves Electromagnetic waves Matter waves Traveling Waves Transverse wave disturbance wave Longitudinal wave disturbance // wave Math Description of Traveling Wave y ( x , t ) = y m sin(k x - t ) Phase difference Transverse displacement/speed 2 Period T = 2 Wavelength = k Speed of Traveling Wave Traveling in +x direction y ( x, t ) = y m sin( kx - t ) kx - t = constant dx v= = dt k Traveling in x direction y ( x, t ) = y m sin( kx + t ) kx + t = constant dx v= =- dt k t=0 T/4 Wave Speed v = = = f k T T Wave Speed on a String v = T - tension T/2 3T/4 - linear density T Examples Sample Problem 16-2. y(x,t) = 0.00327sin(72.1x 2.72t) (all in SI units) Find (a) amplitude, (b) wavelength, period, frequency (c) velocity of the wave, and (d) displacement y at x = 22.5 cm and t = 18.9 s. Sample Problem 16-3. Simultaneously, on each string a pulse is sent from the rigid support end, toward the knot. Which pulse reaches the knot first? L1 = 3.0 m 1 = 1.410-4 kg/ m L2 = 2.0 m 2 = 2.810-4 kg/ m T1 = 400 N ...
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phy2048 lecture30 - Chapter 16: Waves--I 161 What Is...

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