Question

46. Figure 14.36 shows a simple harmonic wave at time-0 and later at -2.6s. Write a mathematical description of this wave. -0s 05 052 0.5 15 -2.6 FIGURE 14.36 Problem 46 54. A wire is under 32.8-N tension, carrying a wave described by -1.75 sin(0.211x-466r), where x and y are in centimeters and t is in seconds. What are (a) the wave amplitude, (b) the wavelength, (c) the wave period, (d) the wave speed, and (e) the power carried by the wave?

Answer 1

Ang From the graph the amplitude of the WaveA-5cm The wave travels 2cm n 2-6 . Hence 'the Wave speed v- 2 cm 2-6人 cn 13 The wave length of the wave λ-8cm Hence the angular frequency ω:vk e wwaVe (3 3 26-3 y(x,t):AGs(kx-ut) eguation Hence the wave 2大 8 2 6 iave uallon -1-75cm) Sin (o-21 x 466t) SY aj The wave amplitude A=1.75 cm The Have number k=o-2nc㎡, hence λ:the wavelength 2K- k ‘.211 λニ29.3cm The waVe peried T- 8 y66 4) The wavespeed (Vs λ-29. 3cm-2207-y crn_ 22-1 m -S

VE T (wave , 'Speed. The power carried-L μω2A2V 2. -L (mass v2 /density T32of the wire T-32.8IV -212 32-8 x 466 x (1-7S Xo 2 X 2 2