#1. Why is there a difference in the standing wave criteria for standing waves in a vibrating n). string (L = ) and for standing waves in an open air column (L = ~^)? %3D 2 4
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![#1. Why is there a difference in the standing wave criteria for standing waves in a vibrating
n.
string (L =
2
-) and for standing waves in an open air column (L :
-)?
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- 99.. The standing waves in air in a pipe of length L that is open at both ends have a speed v. The frequencies of the three lowest harmonics are A) v/L, 2v/L, and 3v/L B) v/2L, v/L, and 3v/2L C) 2/2, 2, and 32/2 D) L/v, 2L/v, and 3L/v E) 2/3, 22/3, and 32/31. The figure shows a resonant oscillation pattern on a string of mass 2.500 g and length 0.800 m. The rope is under a tension of 325 N. 8.00 mm Ű pood. 0 -x (m) 0.800 Show Transcribed Text Determine (a) the harmonic number, (b) the speed of the waves on the string, (c) the first three resonant frequencies.3.) Consider a system like the one below. You want to measure the mass density of a cord. Understanding the relationship between wave speed and tension in a string, you decide to hang a 10 kg mass from the end of the string as shown. When you pluck the now tensioned string, you hear a note. You measure the frequency of the note with an app on your phone, finding it to be 130 Hz. What is the mass density of the string? 1 m 10 kg mg
- Can you create a standing wave with a longer wavelength than the wave with the fundamental frequency? Explain.Problem 3) Simple harmonic wave The wave function of a simple harmonic wave as function of position x and time t is given by (₁) 27 y(x,t)=(0.7m) cos -X- m where m = meters and s = seconds. Find the 1. amplitude A 2. wave number k 4x 3. wavelength 4. angular frequency 5. period T Sa0cm- Im - 0.2m 100cm 11. Gaston has a vocal tract that is 20cm long. Nanal carity 1la. What is the wavelength of his first harmonic (j.e. the lowest pitch or frequency that he can make, which is also the longest possible wavelength)? Oral cavity V-340mls 4. =0.8ml %3D 3. 4 (0.2m)=0.8m Vocal folds %3D 11b. What is the frequency of this particular sound? v: Amfm 8=425 Hz = 340mls 0.8 -425 H2 11c. What is the wavelength of his 2nd harmonic? d2=? L- MAm 2270.4m A2=10.2m) = 0,4m %3D
- 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.A stretched string is 2.03 m long and has a mass of 20.3 g. When the string oscillates at 440 Hz, which is the frequency of the standard A pitch, transverse waves with a wavelength of 15.5 cm travel along the string. Calculate the tension T in the string. T = terms of use contact us help careers privacy polícy about us Show All Free-Fall-Phet.docx V VS T.jpeg free fall.png VS T.jpegQuestion7