(a) A heavy cord is vibrating in its fundamental mode and under a tension of 205 N. When a vibrating tuning fork is placed near the cord, a beat frequency of 4.90 Hz is heard. If the cord is 1.50 m long and has a mass of 0.0150 kg, determine the possible frequencies (in Hz) of the tuning fork. (Round your answers to at least the nearest integer.) lower frequency Hz higher frequency Hz (b) The tension in the cord is now adjusted such that when it vibrates in the fundamental mode, no beats occur when the tuning fork is brought near. Given the two possible tuning fork frequencies found above, determine the two possible tensions (in N) in the cord that will allow this.

(a) A heavy cord is vibrating in its fundamental mode and under a tension of 205 N. When a vibrating tuning fork is placed near the cord, a beat frequency of 4.90 Hz is heard. If the cord is 1.50 m long and has a mass of 0.0150 kg, determine the possible frequencies (in Hz) of the tuning fork. (Round your answers to at least the nearest integer.) lower frequency Hz higher frequency Hz (b) The tension in the cord is now adjusted such that when it vibrates in the fundamental mode, no beats occur when the tuning fork is brought near. Given the two possible tuning fork frequencies found above, determine the two possible tensions (in N) in the cord that will allow this.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A 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.)
(a) A heavy cord is vibrating in its fundamental mode and under a tension of 210 N. When a vibrating tuning fork is placed near the cord, a beat frequency of 4.90 H is heard. If the cord is 1.50m long and has a mass of 0.0150 kg, determine the possible frequencies (in Hz) of the tuning fork. (Round your answers to at least the nearest integer.) lower frequency Hz higher frequency Hz (b) The tension in the cord is now adjusted such that when it vibrates in the fundamental mode, no beats occur when the tuning fork is brought near. Given the two possible tuning fork frequencies found above, determine the two possible tensions (in N) in the cord that will allow this. lower tension higher tension
Two identical piano wires have a fundamental frequency of 555 Hz when kept under the same tension. What fractional increase in the tension of one wire will lead to the occurrence of 7 beats/s when both wires oscillate simultaneously?
A 2.00-m-long wire having a mass of 0.100 kg is fixed at both ends. The tension in the wire is maintained at 20.0 N. (a) What are the frequencies of the first three allowed modes of vibration (standing waves)? (b) If a node is observed at a point 0.400 from one end, in what mode and with what frequency is it vibrating? (c) If this wire can be used to create a sound wave as part of a musical instrument, what is the frequency and wavelength of the sound wave created if the string is oscillating in its fundamental mode?
Transverse waves with a speed of 46.5 m/s are to be produced on a stretched string. A 5.40-m length of string with a total mass of 0.0600 kg is used. (a) What is the required tension in the string? (b) Calculate the wave speed in the string if the tension is 8.00 N. m/s
A stretched string fixed at each end has a mass of 37.0 g and a length of 9.00 m. The tension in the string is 44.0 N. (a) Determine the positions of the nodes and antinodes for the third harmonic. (Enter your answers from smallest to largest distance from one end of the string.)nodes: ?m ? m ? m ? m antinodes: ? m ?m ?m (b) What is the vibration frequency for this harmonic? ?Hz
A steel wire in a piano has a length of 0.900 m and a mass of 3.800 ✕ 10^-3 kg. To what tension must this wire be stretched so that the fundamental vibration corresponds to middle C (fC = 261.6 Hz on the chromatic musical scale)? Needs Complete typed solution with 100 % accuracy.
The frequency of a musical note is 320 Hz. If an organ pipe is open at one end and closed at the other, what length must it have for its fundamental mode to produce this note? ☐ m
An organ pipe (L = 3.5 m) is closed at one end. Compute the wavelengths and frequencies of the first three modes of resonance. Assume the speed of sound is v = 343.00 m/s. fi : Hz f3 Hz f5 = Hz
A string of mass 2.50 kg is under a tension of 200 N. The length of the stretched string is 20.0 m. If the transverse jerk is struck at one end of the string, how long does the disturbance take to reach the other end?
A 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.