
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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The middle C string on a piano has a fundamental frequency of 262 Hz, and the string for the first A above middle C has a fundamental frequency of 440 Hz.
(A) Calculate the frequencies of the next two harmonics of the C string.
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- When a string that is 2m long is connected between two supports and vibrated at 176 Hz it is observed to produce 8 antinodes. If the tension on the string is 77.5 N what would the total mass of the string be?arrow_forwardA steel wire with mass 21.7 g and length 1.30 m is strung on a bass so that the distance from the nut to the bridge is 1.10 m. (a) Compute the linear density of the string.(b) What velocity wave on the string will produce the desired fundamental frequency of the E1 string, 41.2 Hz?(c) Calculate the tension required to obtain the proper frequency.(d) Calculate the wavelength of the string's vibration.(e) What is the wavelength of the sound produced in air? (Assume the speed of sound in air is 343 m/s.)arrow_forwardA string is clamped at both ends and driven at the right frequency to form a standing wave in the fundamental harmonic. If the wave has a wavelength of 50cm, how long is the string? 50 cm 100 cm or 25 cm ?arrow_forward
- A 2 meter string produces a standing wave with 4 nodes and 3 antinodes. (a) What is the wavelength of this harmonic? (b) What is the frequency of this harmonic if the speed of the wave is 45 m/s? (c) What is the wavelength and frequency of the first harmonic?arrow_forwardTension is maintained in a string as in the figure below. The observed wave speed is v = 15.0 m/s when the suspended mass is m = 3.00 kg. (You may assume that the length of the vertical portion of the string is negligible compared to the length of the string.) (a) What is the mass per unit length of the string? kg/m (b) What is the wave speed when the suspended mass is m = 2.30 kg? m/sarrow_forwardA 1.6 m long string fixed at both ends vibrates at resonant frequency of 780 Hz and 1040 Hz, with no other resonant frequency between these values. The tension in the string is 1200 N. (a) Calculate the fundamental frequency of the string. (b) Calculate the mass of the string.arrow_forward
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