# hw1 - Problem 1 Ocean waves with 18-m wavelength travel a t...

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Problem - 1. Ocean waves with 18-m wavelength travel at 5.3 m/s. What is the time interval between wave crests passing under a boat moored at a fixed location? Solution Wave crests (adjacknt wavefronts) take a time of one period to pass a fixed point, traveling at the wave speed (or phase velocity) for a distance of one wavelength. Thus T = X/v = 18 mI(5.3 m/s) = 3.40 s. Problem 3. An 88.7-MHz FM radio wave propagates at the speed of light. What is its wavelength? Solution From Equation 16-1, X = v/ f = (3x 10' m/s)+ (88.7~10~ Hz) = 3.38 m. .- . - - .- Problem 11. An ocean wave has period 4.1 s and wavelength 10.8 m. Find (a) its wave number and (b) its angular frequency. Solution F'rom Equations 16-3 and 4, (a) k = 2.rr/10.8 m = 0.582 m-', and (b) w = 2~/(4.1 s) = 1.53 s-'. - - Problem 19. Figure 16-30a shows a wave plotted as a function of position at time t = 0, while Fig. 16-30b shows the same wave plotted as a function of time at position x = 0. Find (a) the wavelength, (b) the period, (c) the wave speed, and (d) the direction of propagation. 23. A transverse wave with 3.0-cm amplitude and 75-cm wavelength is propagating on a stretched spring whose mass per unit length is 170 g/m. If

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hw1 - Problem 1 Ocean waves with 18-m wavelength travel a t...

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