4 Figure 16-26 shows three waves thatare separately sent along a string that isstretched under a certain tension alongan x axis. Rank the waves according totheir (a) wavelengths, (b) speeds, and(c) angular frequencies,greatest first.3.

a)The wavelength is the distance between two consecutive troughs or crusts of the wave. From the…

Answered: 4 Figure 16-26 shows three waves that…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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75 (a) What is the fastest transverse wave that can be sent along a steel wire? For safety reasons, the maximum tensile stress to which steel wires should be subjected is 7.00 x 10$ N/m². The den- sity of steel is 7800 kg/m². (b) Does your answer depend on the di- ameter of the wire?
Problem 16.55 - Enhanced - with Video Solution A wave on a string is described by D (2, t) = (4.0cm) x sin [27 (x/ (4.8m) +t/ (0.12s) +1)], where a is in m and t is in s. What is the wave number? Express your answer to two significant figures and Include the approprlate units. You may want to review (Page 420) For help with math skills, you may want to review: µA Substituting Numbers into Mathematical Expressions k = Value Units For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Earthquake waves. Submit Request Answer Part E At t = 0.24s, what is the displacement of the string at z = 2.8m? Express your answer to two significant figures and include the appropriate units. HA D(2.8m, 0.24s) = Value Units Submit Request Answer Provide Feedback MAY.
10 Figure 17-30 shows a stretched string of length L and pipes a, b, c, and d of lengths L, 2L, L/2, and L/2, respectively. The string's tension is adjusted until the speed of waves on the string equals the speed of sound waves in the air. The fundamental mode of oscilla- tion is then set up on the string. In which pipe will the sound pro- duced by the string cause resonance, and what oscillation mode will that sound set up? L.
90 A certain transverse sinu- soidal wave of wavelength 20 cm is moving in the positive direc- t (s) tion of an x axis. The transverse velocity of the particle at x = 0 as a function of time is shown in Fig. 16-49, where the scale of the vertical axis is set by u, = 5.0 cm/s. What are the (a) wave speed, (b) amplitude, and (c) frequency? (d) Sketch the wave between x = 0 andx = 20 cm at t = 2.0 s. Figure 16-49 Problem 90. (s/uɔ) n
In an experiment of standing waves in a stretched string using a Sonometer, the recorded data of different quantities are given below. Measurements: Table 1: Values of Quantities used in the calculation Measured Quantity Value 1. Notch number N 2. Mass used in (kg) 3. Linear density of the string used in (g/m) 1.12 4. Length of the string in (cm) 50 Table 2: Measured values of frequency for different Harmonics Number of Harmonics Measured frequency (Hz) 1 81.9 163.4 3. 244.8 Calculate Tension of the string in (N) : A 31°C duólo claw
M1 M2 .25 A uniform rope of mass m and length L hangs from a ceiling. (a) Show that the speed of a trans- verse wave on the rope is a function of y, the distance from the lower end, and is given by v = Vgy. (b) Show that the time a transverse wave takes to travel the length of the rope is given by t = 2VLIg. (6) Figure 16-36 Problem 24.
95 A continuous traveling wave with amplitude A is incident on a boundary. The continuous reflection, with a smaller amplitude B, travels back through the incoming wave. The resulting interference pattern is displayed in Fig. 16-51. The standing wave ratio is defined to be A + B А - В SWR = The reflection coefficient R is the ratio of the power of the reflected wave to the Amax Amin Anax power of the incoming wave and is thus proportional to the ratio (BIA). What is the SWR for (a) total reflection and (b) no reflection? (c) For SWR = 1.50, what is R expressed as a percentage? Figure 16-51 Problem 95.
3 Figure 16-25a gives a snapshot of a wave traveling in the direc- tion of positive x along a string under tension. Four string elements are indicated by the lettered points. For each of those elements, de- termine whether, at the instant of the snapshot, the element is moving upward or downward or is momentarily at rest. (Hint: Imagine the wave as it moves through the four string elements, as if you were watching a video of the wave as it traveled rightward.) Figure 16-25b gives the displacement of a string element located at, say, x= 0 as a function of time. At the lettered times, is the element moving upward or downward or is it momentarily at rest? AVA (a) (b)
66 Figure 16-44 shows the dis- placement y versus time t of the point on a string at x= 0, as a wave passes through that point. The scale of the y axis is set by y, = 6.0 mm. The wave is given by y(x, t) = ym sin(kx – wt + 4). What is 4? (Caution: A calculator does not always give the proper inverse trig function, so check your answer by substituting it and an assumed value of w into y(x, 1) and then plotting the function.) y (mm) Figure 16-44 Problem 66.
5. Calculate the time displacement for each of the given waves, stating lead or lag. (a) (b) (c) 20 sin 100t+ || cos(7t-0.26) and 5 cos (77) COS ++15 -1) ₁ 1 t+1 eл ел and the function before the shift. and the function before the shift.
90 A certain transverse sinu- soidal wave of wavelength 20 cm is moving in the positive direc- I (s) tion of an x axis. The transverse velocity of the particle at x = 0 as a function of time is shown in Fig. 16-49, where the scale of the vertical axis is set by u, = 5.0 cm/s. What are the (a) wave speed, (b) amplitude, and (c) frequency? (d) Sketch the wave between x = 0 and x = 20 cm at t = 2.0 s. Figure 16-49 Problem 90. u (cm/s)
Suppose you would like to increase the speed of a wave on a string by a factor 2.7. By what multiplicative factor must you increase the tension?

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4 Figure 16-26 shows three waves that are separately sent along a string that is stretched under a certain tension along an x axis. Rank the waves according to their (a) wavelengths, (b) speeds, and (c) angular frequencies,greatest first. 3.