A propagating wave is described by the wave function (in SI units) y(x, t) = 3 sin(4•x – 2·t) What can be said about the direction of wave propagation and its speed (assume positive x direction is to the right)? O Wave propagates to the right with the speed of 2 m/s O Wave propagates to the left with the speed of 2 m/s O Wave propagates to the left with the speed of 0.5 m/s O Wave propagates to the right with the speed of 0.5 m/s

A propagating wave is described by the wave function (in SI units) y(x, t) = 3 sin(4•x – 2·t) What can be said about the direction of wave propagation and its speed (assume positive x direction is to the right)? O Wave propagates to the right with the speed of 2 m/s O Wave propagates to the left with the speed of 2 m/s O Wave propagates to the left with the speed of 0.5 m/s O Wave propagates to the right with the speed of 0.5 m/s

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter17: Traveling Waves

Section: Chapter Questions

Problem 12PQ: The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0...

See similar textbooks

Similar questions

A sinusoidal wave travels down a taut, horizontal string with a linear mass density of =0.060 kg/m. The magnitude of maximum vertical acceleration of the wave is aymax=0.90 cm/s2 and the amplitude of the wave is 0.40 m. The string is under a tension of FT=600.00 N. The wave moves in the negative x-direction. Write an equation to model the wave.
Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string producing a standing wave. The linear mass density of the string is =0.075 kg/m and the tension in the string is FT=5.00 N. The time interval between instances of total destructive interference is t=0.13 s. What is the wavelength of the waves?
A wave on a string is driven by a string vibrator, which oscillates at a frequency of 100.00 Hz and an amplitude of 1.00 cm. The string vibrator operates at a voltage of 12.00 V and a current of 0.20 A. The power consumed by the string vibrator is P=IV . Assume that the string vibrator is 90% efficient at converting electrical energy into the energy associated with the vibrations of the string. The string is 3.00 m long, and is under a tension of 60.00 N. What is the linear mass density of the string?
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)
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)
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?
Consider what is shown below. A 20.00-kg mass rests on a frictionless ramp inclined at 45° . A string with a linear mass density of =0.025 kg/m is attached to the 20.00-kg mass. The string passes over a frictionless pulley of negligible mass and is attached to a hanging mass (m). The system is in static equilibrium. A wave is induced on the string and travels up the ramp. (a) What is the mass of the hanging mass (m)? (b) At what wave speed does the wave travel up the string?
Equation 16.40 states that at distance r away from a point source with power (Power)avg, the wave intensity is I=(Power)avg4r2 Study Figure 16.25 and prove that at distance r straight in front of a point source with power (Power)avg moving with constant speed vS the wave intensity is I=(Power)avg4r2(vvSv)
The amplitude of a wave is doubled, with no other changes made to the wave. As a result of this doubling, which of the following statements is correct? (a) The speed of the wave changes. (b) The frequency of the wave changes. (c) The maximum transverse speed of an element of the medium changes. (d) Statements (a) through (c) are all true. (e) None of statements (a) through (c) is true.