Concept explainers
A continuous sinusoidal longitudinal wave is sent along a very long coiled spring from an attached oscillating source. The wave travels in the negative direction of an x axis; the source frequency is 25 Hz; at any instant the distance between successive points of maximum expansion in the spring is 24 cm; the maximum longitudinal displacement of a spring particle is 0.30 cm; and the particle at x = 0 has zero displacement at time t = 0. If the wave is written in the form s(x, t) = sm cos(kx ± ωt), what are (a) sm, (b) k, (c) ω, (d) the wave speed, and (e) the correct choice of sign in front of ω?
Want to see the full answer?
Check out a sample textbook solutionChapter 17 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
Additional Science Textbook Solutions
Modern Physics
Conceptual Physical Science (6th Edition)
College Physics
Conceptual Physics (12th Edition)
The Cosmic Perspective Fundamentals (2nd Edition)
University Physics with Modern Physics (14th Edition)
- 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_forwardThe 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_forwardA string with a mass of 0.30 kg has a length of 4.00 m. If the tension in the string is 50.00 N, and a sinusoidal wave with an amplitude of 2.00 cm is induced on the string, what must the frequency be for an average power of 100.00 W?arrow_forward
- 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?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_forwardThe wave function for a pulse on a rope is given by y(x,t)=0.43(x13.6t)2+1 where all constants are in the appropriate SI units. Sketch the wave profile for a. the incident pulse, b. the reflected pulse if the end is free, and c. the reflected pulse if the end is fixed.arrow_forward
- 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?arrow_forwardA steel wire of length 30.0 m and a copper wire of length 20.0 m, both with 1.00-mm diameters, are connected end to end and stretched to a tension of 150 N. During what time interval will a transverse wave travel the entire length of the two wires?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_forward
- The 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(d)v = 2ghmax A wave traveling on a string has the following wave function, y(x, t) = Asin(kx + wt + p). At time t = 0, the point x 0 has a displacement of y(0,0) = 0, and is moving in the negative y -direction. Which of the following is true about the phase constant and the wave speed direction? (a) o = "/2, and the wave is moving in the negative x-direction. (b)y = "2, and the wave is moving in the positive x-direction. (c) o = n and the wave is moving in the negative x-direction. (d)g = n and the wave is moving in the positive x-direction. 11) %3D %3D %3D %3D Y (90) = Aswyz) =0 or %3D Ao las(4)arrow_forwardTransverse waves on a string have wave speed 8.00 m/s, amplitude 0.0700m, and wavelength 0.320 m. The waves travel in the −x-direction, and at t =0 the x = 0 end of the string has its maximum upward displacement.(d) How much time must elapse from the instant in part (c) until the particle at x = 0.360 m next has maximum upward displacement?for reference here is the "part c": (c) Find the transverse displacement of a particle at x = 0.360 m at time t = 0.150 s.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- 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