Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 22, Problem 33SP
Show that the fundamental frequency of a taut string on a musical instrument is given by
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The A string on a violin has a fundamental frequency of 430Hz. The length of the vibrating portion of the string is 35cm and has a mass of 0.35 g. Under what tension must the string be placed to obtain the desired frequency?
The A string of a violin has a linear density of 0.60 g/m and an effective length of 330 mm. (a) Find the tension
required for its fundamental frequency to be 440 Hz. (b) If the string is under this tension, how far from one end
should it be pressed against the fingerboard in order to have it vibrate at a fundamental frequency of 495 Hz, which
corresponds to the note B?
An instrument has a lowest frequency of 40 Hz. The string has mass per unit length of 0.015 kg/m. Calculate the tension in the string.
Chapter 22 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 22 - Prob. 19SPCh. 22 - Prob. 20SPCh. 22 - Prob. 21SPCh. 22 - 22. A string has its tension doubled; all else...Ch. 22 - 23. A string has its total mass doubled; all else...Ch. 22 - 24. A string has both its total mass and length...Ch. 22 - 25. A transverse wave is set up on a taut string....Ch. 22 - 26. A light cord 10.0 m long has a mass of 50.0 g....Ch. 22 - 27. When driven by a 120-Hz vibrator, a string has...Ch. 22 - Prob. 28SP
Ch. 22 - 29. A copper wire 2.4 mm in diameter is 3.0 m long...Ch. 22 - 30. An explosion under the ocean creates a...Ch. 22 - Prob. 31SPCh. 22 - 22.32 [I] Someone bangs on the end of a long gold...Ch. 22 - 33. Show that the fundamental frequency of a taut...Ch. 22 - Prob. 34SPCh. 22 - 22.35 [II] A string resonates in three segments at...Ch. 22 - Prob. 36SPCh. 22 - Prob. 37SPCh. 22 - 22.38 [II] Steel and silver wires of the same...Ch. 22 - Prob. 39SPCh. 22 - 22.40 [II] (a) At what point should a stretched...Ch. 22 - 22.41 [II] What must be the length of an iron rod...Ch. 22 - 22.42 [II] A rod 120 cm long is clamped at the...Ch. 22 - 22.43 [II] A metal bar 6.0 m long, clamped at its...Ch. 22 - 22.44 [II] Determine the length of the shortest...Ch. 22 - 22.45 [II] A long, narrow pipe closed at one end...Ch. 22 - 22.46 [II] An organ pipe closed at one end is 61.0...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A sound wave in air has a pressure amplitude equal to 4.00 103 Pa. Calculate the displacement amplitude of the wave at a frequency of 10.0 kHz.arrow_forwardA string with a linear mass density of 0.0075 kg/m and a length of 6.00 m is set into the n=4 mode of resonance by driving with a frequency of 100.00 Hz. What is the tension in the string?arrow_forwardA pipe is observed to have a fundamental frequency of 345 Hz. Assume the pipe is filled with air (v = 343 m/s). What is the length of the pipe if the pipe is a. closed at one end and b. open at both ends?arrow_forward
- A cable with a linear density of =0.2 kg/m is hung from telephone poles. The tension in the cable is 500.00 N. The distance between poles is 20 meters. The wind blows across the line, causing the cable resonate. A standing waves pattern is produced that has 4.5 wavelengths between the two poles. The air temperature is T=20C . What are the frequency and wavelength of the hum?arrow_forwardA string has a mass of 150 g and a length of 3.4 m. One end of the string is fixed to a lab stand and the other is attached to a spring with a spring constant of ks=100 N/m. The free end of the spring is attached to another lab pole. The tension in the string is maintained by the spring. The lab poles are separated by a distance that stretches the spring 2.00 cm. The string is plucked and a pulse travels along the string. What is the propagation speed of the pulse?arrow_forwardTwo sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)arrow_forward
- A taut rope has a mass of 0.180 kg and a length of 3.60 m. What power must be supplied to the rope so as to generate sinusoidal waves having an amplitude of 0.100 m and a wavelength of 0.500 m and traveling with a speed of 30.0 m/s?arrow_forwardThe overall length of a piccolo is 32.0 cm. The resonating air column is open at both ends. (a) Find the frequency of the lowest note a piccolo can sound. (b) Opening holes in the side of a piccolo effectively shortens the length of the resonant column. Assume the highest note a piccolo can sound is 4 000 Hz. Find the distance between adjacent anti-nodes for this mode of vibration.arrow_forwardThe A string on a violin has a fundamental frequency of 440 Hz . The length of the vibrating portion is 35 cm , and it has a mass of 0.40 g Under what tension must the string be placed?arrow_forward
- a string mass on a violin has a fundamental frequency of 440 hz. The length of the vibrating portion is 32 cm and it has a mass of 0.35 g. Under what tension must the string be placed?arrow_forwardThe A string on a violin has a fundamental frequency of 440 Hz . The length of the vibrating portion is 29 cm , and it has a mass of 0.31 g Under what tension must the string be placed? Express your answer using two significant figures.arrow_forwardThe A string on a violin has a fundamental frequency of 440 Hz . The length of the vibrating portion is 28 cm , and it has a mass of 0.37 g . Under what tension must the string be placed?Express your answer using two significant figures.arrow_forward
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