Part A A pipe closed at both ends can have standing waves inside of it, but you normally don't hear them because little of the sound can get out. But you can hear them if you are inside the pipe, such as someone singing in the shower. The wavelengths of standing waves in a pipe of length L that is closed at both ends are A, = 2L/n and the frequencies are given by fn = nv/2L = nfi, where n = 1, 2, 3, ... Modeling it as a pipe, find the frequency of the fundamental for a shower 2.35 m tall. Express your answer in hertz. να ΑΣφ fi = Hz O You have already submitted this answer. Enter a new answer.
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- A guitar string is vibrating in its fundam ental mode, with nodes at each end. The length of the segment of the string that is free to vibrate is 0.389 m. The maximum transverse acceleration of a point at the middle of the segment is 8200 m/s? and the maximum transverse velocity is 3.10 m/s. Part A What is the amplitude of this standing wave? Express your answer in meters. Πνα ΑΣφ A = m Submit Request Answer Part B What is the wave speed for the transverse traveling waves on this string? Express your answer in meters per second. v = m/s Submit Request AnswerIn a pond two Water Skeeterbugs are taping their antennae on the water surface simultaneously and in sync. They create identical continuous waves with wavelength of 0.87 meters. A leaf is also floating on the pond and 0.45 meters away from the first Water Skeeterbug and 2.4075 m away from the second one.a. What is the path length difference from both sources of waves to the leaf? (in meters) b. What is the path length difference in terms of wavelengths? (in λ)c. Is the leaf sitting on a line of destructive or constructive interference? Explain.uniform TEM plane wave propagating in a medium has H = -6 e- cos(2n x 10't - Bz) âg + 2e"sin (2m x 10't – Bz)â, A/m. If the medium is characterized by 4=20, e=1, o=3 S/m. a. Is the medium a good or a poor conductor? Determine a and B. b. What is the characteristic impedance, n? c. Determine the E field.
- A string of length L=1.68 m is attached at both ends. The string is parallel to an x-axis and extends from x=0 to x=L. The speed of waves on this string is v= 285.6m/s. For 3. standing waves: a. What is the wavelength of the fundamental mode (n=1 mode), 4 ? b. Whatis the frequency of the fifth harmonic, f;? c. Draw the envelopes of the string displacement wave function for the first three harmonics and label each node with the letter 'N' and antinode with letter 'A'. Please make three separate drawings. d. For the third harmonic, n=3 , what are the three x values where the transverse speed of the string is a maximum, X, Xm2, X3 compared to other xlocations? e. For this string oscillating in the third harmonic (n=3), with a maximum deviation from equilibrium of 2y. = 0.280 cm at points x= xml,X =Xm2,X= X3 , what is the maximum (positive) transverse speed of the string (speed perpendicular to the direction of the string), Max(u,(xmt)) ?R The figure above shows a transmitter and a receiver of sound waves contained in a single instrument. It is used to measure the speed u of a target object (idealized as a flat plate) that is moving directly toward the unit, by analyzing the waves reflected from the target. Show that the frequency f. of the reflected waves at the receiver is related to their source frequency f, by V + u f, f, V -u where v is the speed of the waves. In great many practical situations, u << v. In that case, show that the equation above becomes: f,-f, 2u f. V IS In medical diagnosis using ultrasound it is said " For every mm per second that a structure in the body moves, the incident ultrasound wave is shifted by approximately 1.30 Hz per MHz". What speed of the ultrasound waves in the tissue do you deduce from this statement?Part A Two steel guitar strings have the same length. String A has a diameter of 0.60 mm and is under 430.0 N of tension. String B has a diameter of 1.5 mm and is under a tension of 850.0 N . You may want to review (Pages 461 - 463) . Find the ratio of the wave speeds, vA/VB, in these two strings. Express your answer using two significant figures. Hνα ΑΣφ VA/VB = Submit Request Answer
- A string of mass 8 grams is stretched to a length of 0.3 meters and fastened at both end so that it can freely vibrate. The tension on the string is 1400 Newtons. What is the linear density of the string? kg/m At what speed would a wave propagate on this string? m/s What is the wavelength of the first harmonic (also called the fundamental frequency) of standing wave created by the vibrating string? m What is the fundamental frequency of the vibrating string? HzZ Your answer is partially correct. Try again. Two sinusoidal waves with the same amplitude of 9.02 mm and the same wavelength travel together along a string that is stretched along an x axis. Their resultant wave is shown twice in the figure, as valley A travels in the negative direction of the x axis by distance d = 58.0 cm in 11.0 ms. The tick marks along the axis are separated by 10 cm, and height H is 8.1 mm. Let the equation for one wave be of the form y(x, t) = ym sin(kx + wt + P1), where p1 = 0 and you must choose the correct sign in front of w. For the equation for the other wave, what are (a) ym, (b) k, (c) w, (d) P2, and (e) the sign in front of w? (a) Number 4.00 UnitsT mm (b) Number UnitsTrad/m or m^-1 15.7 (c) Number 926.76 UnitsT rad/s or s^-1 (d) Number UnitsT rad 2.7 (e)A sound wave enters the thin tube at P and exits at Q. Assume r = 0.41m and the wavelength is 1.86m. What is the smallest length d that results in destructive interference at Q?
- Problem 1: The figure below shows four identical point sources of sound that are uniformly spaced on an x-axis. Sq d- d S3 d S4 P The sources emit sound at the same wavelength X and same amplitude A, and they emit in phase. A point P is shown on the x axis. Assume that as the sound waves travel to P, the decrease in their amplitude is negligible. What multiple of A is the amplitude of the net wave at P if distance d in the figure is (a) X/4, (b) A/2, and (c) X?D, mm 1 0 00000000 The figure shows two waves traveling in the positive-x direction. The amplitude of the resultant wave is O 1.0 mm. O zero. O 1.8 mm. O 1.4 mm. O 2.0 mm.The softest sound a human ear can hear is at 0 dB (Io = 10-12 W/m2). Sounds above 130 dB cause pain. A particular student's eardrum has an area of A = 51 mm^2. a. What is the most power, in watts, the ear can receive before the listener feels pain? b. What is the smallest power, in watts, the ear can detect?