The displacement of a standing wave on a string is given byD= 4.0 sin(0.54z) cos(53t). where z and D are incentimeters and t is in seconds.Part AWhat is the distance (cm) between nodes?Express your answer using two significant figures.d=Ο ΑΣΦSubmitRequest AnswerPart B?cmGive the amplitude of each of the component waves.Express your answers using two significant figures. Enter your answers numerically separated by a comma.A1. A₂ =ΟΙ ΑΣΦSubmitRequest AnswerPart C?cmGive the frequency of each of the component waves.Express your answers using two significant figures. Enter your answers numerically separated by a comma.

D = 4.0 sin(0.54x) cos(54t)Part A - Finding distance between nodes:For a standing wave, the distance…

Answered: The displacement of a standing wave on…

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 38P: Porpoises emit sound waves that they use for navigation. If the wavelength of the sound wave emitted...

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The amplitude of a sound wave is measured in terms of its maximum gauge pressure. By what factor does the amplitude of a sound wave increase if the sound intensity level goes up by 40.0 dB?
Wind gusts create ripples on the ocean that have a wavelength at 5.00 cm and propagate at 2.00m/s. What is their frequency?
(a) Seismographs measure the arrival times of earthquakes with a precision of 0.100 s. To get the distance to the epicenter of the quake, geologists compare the arrival times of S- and P-waves, which travel at different speeds. If S- and P-waves travel at 4.00 and 7.20 km/s, respectively, in the region considered, how precisely can the distance to the source of the earthquake be determined? (b) Seismic waves from underground detonations of nuclear bombs can be used to locate the test site and detect violations of test bans. Discuss whether your answer to (a) implies a serious limit to such detection. (Note also that the uncertainty is greater if there is an uncertainty in the propagation speeds of the S- and P-waves.)
The energy of a ripple on a pond is proportional to the amplitude squared. If the amplitude of the ripple is 0.1 cm at a distance from the source of 6.00 meters, what was the amplitude at a distance of 2.00 meters from the source?
A pulse moving along the x axis can be modeled as the wave function y(x,t)=4.00me( x+( 2.00m/s )t 1.00m)2 . (a)What are the direction and propagation speed of the pulse? (b) How far has the wave moved in 3.00 s? (c) Plot the pulse using a spreadsheet at time t=0.00 s and t=3.00 s to verify your answer in part (b).
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?
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 tuning fork vibrates producing sound at a frequency of 512 Hz. The speed of sound of sound in air is v=343.00 m/s if the air is at a temperature of 20.00°C . What is the wavelength of the sound?
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?
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.
A sound wave traveling in air has a pressure amplitude of 0.5 Pa. What is the intensity of the wave?
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?

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