Need help with all parts pls a. Write down an equation, D(x, t), for a transverse standing wave on a stringof length L = 0.20 m that is fixed at each end, given that the antinodes areat maximum displacement at t = 0. The standing wave has wavelength 2= 0.20 m and frequency f= 400 Hz. The maximum displacement of anantinode is 0.040 m.%3Db. What is the period T of this wave?c. Draw a sketch of the standing wave at the following times t = 0, t= T/4, t= T/2.d. What are the values of x for all antinodes?e. What are the values of x for all nodes?f. Write down the equation for the two traveling waves that make up thisstanding wave.g. What is the speed of these travelling waves?

"Since you have asked multiple question, we will solve the first question for you. If you want any…

a. Write down an equation, D(x, t), for a transverse standing wave on a string of length L = 0.20 m that is fixed at each end, given that the antinodes are at maximum displacement at t = 0. The standing wave has wavelength 2 = 0.20 m and frequency f= 400 Hz. The maximum displacement of an antinode is 0.040 m.

a. Write down an equation, D(x, t), for a transverse standing wave on a string of length L = 0.20 m that is fixed at each end, given that the antinodes are at maximum displacement at t = 0. The standing wave has wavelength 2 = 0.20 m and frequency f= 400 Hz. The maximum displacement of an antinode is 0.040 m.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter18: Superposition And Standing Waves

Section: Chapter Questions

Problem 29PQ

See similar textbooks

Similar questions

A sound wave is modeled with the wave function P=1.20Pasin(kx6.28104s1t) and the sound wave travels in air at a speed of v=343.00 m/s. (a) What is the wave number of the sound wave? (b) What is the value for P(3.00 m, 20.00 s)?
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?
(a) What is the speed of sound in a medium where a 100-kHz frequency produces a 5.96-cm wavelength? (b) Which substance in Table 17.1 is this likely to be?
(a) Find the length of an organ pipe closed at one end that produces a fundamental frequency of 256 Hz when air temperature is 18.0°C. (b) What is its fundamental frequency at 25.0°C?
A string, fixed on both ends, is 5.00 m long and has a mass of 0.15 kg. The tension if the string is 90 N. The string is vibrating to produce a standing wave at the fundamental frequency of the string. (a) What is the speed of the waves on the string? (b) What is the wavelength of the standing wave produced? (c) What is the period of the standing wave?
Consider two wave functions, y1(x,t)=0.40msin(m1xs1t) and y2(x,t)=0.40msin(m1xs1t+3) . (a) Using a spreadsheet, plot the two wave functions and the wave that results from the superposition of the two wave functions as a function of position (0.00x6.00m) for the time t=0.00 s. (b) What are the wavelength and amplitude of the two original waves? (c) What are the wavelength and amplitude of the resulting wave?
A 4.0-m-long pipe, open at one end and closed at one end, is in a room where the temperature is T=22C . A speaker capable of producing variable frequencies is placed at the open end and is used to cause the tube to resonate. (a) What is the wavelength and the frequency of the fundamental frequency? (b) What is the frequency and wavelength of the first overtone?
Consider two waves y1(x,t) and y2(x,t) that are identical except for a phase shift propagating in the same medium. (a)What is the phase shift, in radians, if the amplitude of the resulting wave is 1.75 times the amplitude of the individual waves? (b) What is the phase shift in degrees? (c) What is the phase shift as a percentage of the individual wavelength?
An airplane moves at Mach 1.2 and produces a shock wave. (a) What is the speed of the plane in meters per second? (b) What is the angle that the shock wave moves?
(a) What is the fundamental frequency of a 0.672-mlong tube, open at both ends, on a day when the speed of sound is 344 m/s? (b) What is the frequency of its second harmonic?
A copper wire has a density of =8920 kg/m3, a radius of 1.20 mm, and a length L. The wire is held under a tension of 10.00 N. Transverse waves are sent down the wire. (a) What is the linear mass density of the wire? (b) What is the speed of the waves through the wire?
A wave traveling on a Slinky® that is stretched to 4 m takes 2.4 s to travel the length of the Slinky and back again. (a) What is the speed of the wave? (b) Using the same Slinky stretched to the same length, a standing wave is created which consists of three antinodes and four nodes. At what frequency must the Slinky be oscillating?