Concept explainers
GO The following two waves are sent in opposite directions on a horizontal string so as to creating a standing wave in a vertical plane:
y1(x, t) = (6.00 mm) sin(4.00πx − 400πt)
y2(x, t) = (6.00 mm) sin(4.00πx + 400πt),
with x in meters and t in seconds. An antinode is located at point A. In the time interval that point takes to move from maximum upward displacement to minimum downward displacement, how far does each wave move along the siring?
Want to see the full answer?
Check out a sample textbook solutionChapter 16 Solutions
Fundamentals of Physics
Additional Science Textbook Solutions
Introductory Chemistry (6th Edition)
Principles of Anatomy and Physiology
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
The Cosmic Perspective (8th Edition)
Living By Chemistry: First Edition Textbook
College Physics: A Strategic Approach (3rd Edition)
- 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?arrow_forwardAt t = 0, a transverse pulse in a wire is described by the function y=6.00x2+3.00 where xand y are in meters. If the pulse is traveling in the positive x direction with a speed of 4.50 m/s, write the function y(x, t) that describes this pulse.arrow_forwardA flute has a length of 58.0 cm. If the speed of sound in air is 343 m/s, what is the fundamental frequency of the flute, assuming it is a tube closed at one end and open at the other? (a) 148 Hz (b) 296 Hz (c) 444 Hz (d) 591 Hz (e) none of those answersarrow_forward
- 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)arrow_forwardTwo 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?arrow_forwardThe speed of a transverse wave on a string is 300.00 m/s, its wavelength is 0.50 m, and the amplitude is 20.00 cm. How much time is required for a particle on the string to move through a distance of 5.00 km?arrow_forward
- 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.arrow_forwardA 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?arrow_forwardA pipe is observed to have a fundamental frequency of 345 Hz. Assume the pipe is filled with air (v = 343 m/s). What is the length of the pipe if the pipe is a. closed at one end and b. open at both ends?arrow_forward
- two harmonic waves are described by y1 = (6.00cm)sin(pi (2.00x/m + 3.00t/s)) y2 = (6.00cm)sin(pi (2.00x/m - 3.00t/s)) What is the magnitude of the displacement (in cm) of this wave at x=3 cm and t=5 sec ? answer: 2.25arrow_forwardThe displacement of a wave traveling in the negative y-direction is D(y, t) = (5.30 cm ) sin(6.30 y + 63.0 t), where %3D y is in m and t is in s.arrow_forwardThe following two waves are sent in opposite directions on a horizontal string so as to create a standing wave in a vertical plane: Y₁(x, t) = (9.20 mm) sin(6.80лx - 650лt) Y₂(x, t) = (9.20 mm) sin(6.80лx + 650лt), with x in meters and t in seconds. An antinode is located at point A. In the time interval that point takes to move from maximum upward displacement to maximum downward displacement, how far does each wave move along the string? Number i Units <arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning