A certain piano string is supposed to brate at a frequency of 4.30 x 102 Hz. In order to check its frequency, a tuning fork known to vibrate at frequency of 4.30 x 102 Hz is sounded at the same time the piano key is struck, and a beat frequency of beats per second is heard. (a) Find the two possible frequencies at which the string could be vibrating. flower = Hz fhigher = Hz (b) Suppose the piano tuner runs toward the piano, holding the vibrating tuning fork while his assistant plays the note, which is at 424 Hz. At his maximum speed, the piano tuner notices the beat frequency drops from 6 Hz to 3 Hz (without going through a beat frequency of zero). How fast is he moving? Use a speed of sound of 343 m/s. m/s (c) While the piano tuner is running, what beat frequency is observed by the assistant? [Note: Assume all numbers are accurate to two decimal places, necessary for this last calculation.] Hz

A certain piano string is supposed to brate at a frequency of 4.30 x 102 Hz. In order to check its frequency, a tuning fork known to vibrate at frequency of 4.30 x 102 Hz is sounded at the same time the piano key is struck, and a beat frequency of beats per second is heard. (a) Find the two possible frequencies at which the string could be vibrating. flower = Hz fhigher = Hz (b) Suppose the piano tuner runs toward the piano, holding the vibrating tuning fork while his assistant plays the note, which is at 424 Hz. At his maximum speed, the piano tuner notices the beat frequency drops from 6 Hz to 3 Hz (without going through a beat frequency of zero). How fast is he moving? Use a speed of sound of 343 m/s. m/s (c) While the piano tuner is running, what beat frequency is observed by the assistant? [Note: Assume all numbers are accurate to two decimal places, necessary for this last calculation.] Hz

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter14: Superposition And Standing Waves

Section: Chapter Questions

Problem 10OQ

See similar textbooks

Similar questions

What frequency is received by a mouse just before being dispatched by a hawk flying at it at 25.0 m/s and emitting a screech of frequency 3500 Hz? Take the speed of sound to be 331 m/s.
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 7.00 cm, a wave number of k=3.00 m-1, an angular frequency of =2.50 s-1, and a period of 6.00 s, but one has a phase shift of an angle =12 rad. What is the height of the resultant wave at a time t=2.00 s and a position x=0.53 m?
A sound wave of a frequency of 2.00 kHz is produced by a string oscillating in the n=6 mode. The linear mass density of the string is =0.0065 kg/m and the length of the string is 1.50 m. What is the tension in the string?
Two 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)
A nylon guitar string is fixed between two lab posts 2.00 m apart. The string has a linear mass density of =7.20 g/m and is placed under a tension of 160.00 N. The string is placed next to a tube, open at both ends, of length L. The string is plucked and the tube resonates at the n=3 mode. The speed of sound is 343 m/s. What is the length of the tube?
A 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?
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.
A string is fixed at both end. The mass of the string is 0.0090 kg and the length is 3.00 m. The string is under a tension of 200.00 N. The string is driven by a variable frequency source to produce standing waves on the string. Find the wavelengths and frequency of the first four modes of standing waves.
Can you perceive the shift in frequency produced when you pull a tuning fork toward you at 10.0 m/s on a day when the speed of sound is 344 m/s? To answer this question, calculate the factor by which the frequency shifts and see if it is greater than 0.300%.
Two strings are attached between two poles separated by a distance of 2.00 meters as shown in the preceding figure, both strings have a linear density of 1=0.0025 kg/m, the tension in string 1 is 600.00 N and the tension in string 2 is 700.00 N. Transverse wave pulses are generated simultaneously at opposite ends of the strings. How much time passes before the pulses pass one another?
A string with a linear mass density of =0.0062 kg/m is stretched between two posts 1.30 m apart. The tension in the string is 150.00 N. The string oscillates and produces a sound wave. A 1024-Hz tuning fork is struck and the beat frequency between the two sources is 52.83 Hz. What are the possible frequency and wavelength of the wave on the string?
A piano tuner hears a beat every 2.00 s when listening to a 264.0-Hz tuning fork and a single piano string. What are the two possible frequencies of the string?