Two waves are traveling in the same medium and described by the following wave functions:andY1 = 0.01 m sin(0.3nx – 20t)Y2 = 0.01 m sin(0.3nx – 20t)where x and y are measured in centimeters and t is in seconds. Find the maximum transverse velocityof the element of the medium located at x = 2.3 cm.

Given, wave functions: y1=0.01 msin0.3πx-20t y2=0.01 msin0.3πx-20t Comparing with general wave…

Two waves are traveling in the same medium and described by the following wave functions: Y2 = 0.01 m sin(0.3nx – 20t) Y1 = 0.01 m sin(0.3nx – 20t) and where x and y are measured in centimeters and t is in seconds. Find the maximum transverse velocity of the element of the medium located at x = 2.3 cm.

Two waves are traveling in the same medium and described by the following wave functions: Y2 = 0.01 m sin(0.3nx – 20t) Y1 = 0.01 m sin(0.3nx – 20t) and where x and y are measured in centimeters and t is in seconds. Find the maximum transverse velocity of the element of the medium located at x = 2.3 cm.

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Wave Motion

Section: Chapter Questions

Problem 16.5P: A wave is described by y = 0.020 0 sin (kx - t), where k = 2.11 rad/m, = 3.62 rad/s, x and y are in...

See similar textbooks

Similar questions

A wave is described by y = 0.020 0 sin (kx - t), where k = 2.11 rad/m, = 3.62 rad/s, x and y are in meters, and t is in seconds. Determine (a) (he amplitude, (b) the wavelength, (c) the frequency, and (d) the speed of the wave.
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.
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)
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?
How many times a minute does a boat bob up and down on ocean waves that have a wavelength of 40.0 m and a propagation speed of 5.00 m/s?
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 6.00 cm, a wavelength of 4.3 m, and a period of 6.00 s, but one has a phase shift of an angle =0.50 rad. What is the height of the resultant wave at a time t=3.15 s and a position x=0.45 m ?
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?
The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0 sin (1.5x 45t), where x and y are in meters and the time t is in seconds. a. In what direction is the wave propagating? be. N What are the b. amplitude, c. wavelength, d. frequency, and e. propagation speed of the wave?
Porpoises emit sound waves that they use for navigation. If the wavelength of the sound wave emitted is 4.5 cm, and the speed of sound in the water is v=1530 m/s, what is the period of the sound?
Rank the waves represented by the following functions from the largest to the smallest according to (i) their amplitudes, (ii) their wavelengths, (iii) their frequencies, (iv) their periods, and (v) their speeds. If the values of a quantity are equal for two waves, show them as having equal rank. For all functions, x and y are in meters and t is in seconds. (a) y = 4 sin (3x 15t) (b) y = 6 cos (3x + 15t 2) (c) y = 8 sin (2x + 15t) (d) y = 8 cos (4x + 20t) (e) y = 7 sin (6x + 24t)
The area of a typical eardrum is about 5.00 X 10-5 m2. (a) (Calculate the average sound power incident on an eardrum at the threshold of pain, which corresponds to an intensity of 1.00 W/m2. (b) How much energy is transferred to the eardrum exposed to this sound lor 1.00 mill?
A harmonic transverse wave function is given by y(x, t) = (0.850 m) sin (15.3x + 10.4t) where all values are in the appropriate SI units. a. What are the propagation speed and direction of the waves travel? b. What are the waves period and wavelength? c. What is the amplitude? d. If the amplitude is doubled, what happens to the speed of the wave?