A string is stretched taut and tied between two fixed ends 0.22 m apart. The string is made to vibrate and the frequency adjusted until a standing wave forms. The wave below forms at 110 Hz. a) How many nodes and antinodes does this wave have? There are nodes and antinodes. b) How many wavelengths of the wave are on the string? Enter fraction or decimal. There are wavelengths. c) If the string is 0.22 m long, what is the wavelength of the wave? m d) If the wave forms at 110 Hz, what is the speed of the wave? V = m/s e) What is the period of the wave? T = S

A string is stretched taut and tied between two fixed ends 0.22 m apart. The string is made to vibrate and the frequency adjusted until a standing wave forms. The wave below forms at 110 Hz. a) How many nodes and antinodes does this wave have? There are nodes and antinodes. b) How many wavelengths of the wave are on the string? Enter fraction or decimal. There are wavelengths. c) If the string is 0.22 m long, what is the wavelength of the wave? m d) If the wave forms at 110 Hz, what is the speed of the wave? V = m/s e) What is the period of the wave? T = S

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter17: Sound

Section: Chapter Questions

Problem 131AP: Consider the following figure. The length of the string between the string vibrator and the pulley...

See similar textbooks

Similar questions

Two sinusoidal waves, which are identical except for a phase shift, travel along in the same direction. The wave equation of the resultant wave is yR(x,t)=0.35cmsin(6.28m1x1.57s1t+4) . What are the period, wavelength, amplitude, and phase shift of the individual waves?
A string of a constant linear mass density is held taut by two students, each holding one end. The tension in the string is constant. The students each send waves down the string by wiggling the string. (a) Is it possible for the waves to have different wave speeds? (b) Is it possible for the waves to have different frequencies? (c) Is it possible for the waves to have different wavelengths?
Check Your Understanding The wave equation 2y(x,t)x2=1v22y(x,t)t2 works for any wave of the form y(x,t)=f(xvt) . In the previous section, we stated that a cosine function could also be used to model a simple harmonic mechanical wave. Check if the wave y(x,t)=0.50mcos(0.20m1x4.00s1t+10) is a solution to the wave equation. Any disturbance that complies with the wave equation can propagate as a wave moving along the x-axis with a wave speed v. It works equally well for waves on a string, sound waves, and electromagnetic waves. This equation is extremely useful. For example, it can be used to show that electromagnetic waves move at the speed of light.
A string is fixed at both ends to supports 3.50 m apart and has a linear mass density of =0.005 kg/m. The string is under a tension of 90.00 N. A standing wave is produced on the string with six nodes and five antinodes. What are the wave speed, wavelength, frequency, and period of the standing wave?
Sine waves are sent down a 1.5-m-long string fixed at both ends. The waves reflect back in the opposite direction. The amplitude of the wave is 4.00 cm. The propagation velocity of the waves is 175 m/s. The n=6 resonance mode of the string is produced. Write an equation for the resulting standing wave.
The wave function that models a standing wave is given as yr(x,t)=6.00cmsin(3.00m1x+1.20rad)cos(6.00s1t+1.20rad) . What are two wave functions that interfere to form this wave function? Plot the two wave functions and the sum of the sum of the two wave functions at t=1.00 s to verify your answer.
Give one example of a transverse wave and one example of a longitudinal wave, being careful to note the relative directions of the disturbance and wave propagation in each.
The distance between two successive peaks of a sinusoidal wave traveling along a string is 2 in. If the frequency of this wave is 4 Hz. what is the speed of the wave? (a) 4 m/s (b) 1 m/s (c) 8 m/s (d) 2 m/s (e) impossible to answer from the information given
Consider the following figure. The length of the string between the string vibrator and the pulley is L=1.00 m. The linear density of the string is =0.006 kg/m. The string vibrator can oscillate at any frequency. The hanging mass is 2.00 kg. (a)What are the wavelength and frequency of n=6 mode? (b) The string oscillates the air around the string. What is the wavelength of the sound if the speed of the sound is vs=343.00 m/s?
Transverse waves are sent along a 5.00-m-long string with a speed of 30.00 m/s. The string is under a tension of 10.00 N. What is the mass of the string?
A string on the violin has a length of 23.00 cm and a mass of 0.900 grams. The tension in the string 850.00 N. The temperature in the room is TC=24.00C . The string is plucked and oscillates in the n=9 mode. (a) What is the speed of the wave on the string? (b) What is the wavelength of the sounding wave produced? (c) What is the frequency of the oscillating string? (d) What is the frequency of the sound produced? (e) What is the wavelength of the sound produced?
Consider two waves defined by the wave functions y1(x,t)=0.20msin(26.00mx24.00st) and y2(x,t)=0.20mcos(26.00mx24.00st) . What are the similarities and differences between the two waves? frequency, (d) wave speed, (e) phase shift, (f) wavelength, and (g) period of the wave.