Q-2. A transverse sinusoidal wave is moving along a string in the positive direction of an x axis with a speed of 80 m/s. At t = 0, the string particle at x = 0 has a transverse displacement of 4.0 cm from its equilibrium position and is not moving. The maximum transverse speed of the string particle at x = 0 is 16 m/s. (a) What is the frequency of the wave? (b) What is the wavelength of the wave? If y(x,t) = y௠ sin(kx ± ωt + ∅) is the form of the wave equation, what are (c) ym

Q-2. A transverse sinusoidal wave is moving along a string in the positive direction of an x axis with a speed of 80 m/s. At t = 0, the string particle at x = 0 has a transverse displacement of 4.0 cm from its equilibrium position and is not moving. The maximum transverse speed of the string particle at x = 0 is 16 m/s. (a) What is the frequency of the wave? (b) What is the wavelength of the wave? If y(x,t) = y௠ sin(kx ± ωt + ∅) is the form of the wave equation, what are (c) ym

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 95P: Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes...

See similar textbooks

Similar questions

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 ?
The period of oscillation T of a water surface wave isassumed to be a function of density ρ , wavelength l , depth h , gravity g , and surface tension Y . Rewrite this relationshipin dimensionless form. What results if Y is negligible?Hint: Take l , ρ , and g as repeating variables.
Use dimensional analysis to find how the speed vvv of a wave on a string of circular cross section depends on the tension in the string, T, the radius of the string, R, and its mass per volume, ρ (rho). Express your answer in terms of the variables T, R, and ρ(rho).
Let us assume we are using SI units (kg, m, s). Consider the harmonic travelling wave 17 y(x, t) = = 12 cos(3x - 12πt). Assume the above harmonic wave is a solution of the motion of a string with tension T = 1 Newton. What is the string's density?p= kg/m What is its kinetic energy density? What is its kinetic energy over one wavelength? Ek What is its potential energy density? What is its potential energy over one wavelength? Ey = J/m J/m
A 125 cm length of string has mass 2.00 g and tension 7.00 N. (a) What is the wave speed for this string? (b) What is the lowest resonant frequency of this string?
A sinusoidal transverse wave has a wavelength of 2.8 m. It takes 0.1 s for an element of the string at a position xx to move from the maximum position of yymax = 0.03 m to the equilibrium position yy = 0. What is the period of the wave, TT, and the wave speed, vv?
A sinusoidal wave traveling in the negative x direction (to the left) has an amplitude of 20.0 cm, a wavelength of 35.0 cm, and a frequency of 12.0 Hz. The transverse position of an element of the medium at t = 0, x = 0 is y = 23.00 cm, and the element has a positive velocity here. We wish to findan expression for the wave function describing this wave. (a) Sketch the wave at t = 0. (b) Find the angular wave number k from the wavelength. (c) Find the period T from the frequency. Find (d) the angular frequency ω and (e) the wave speed υ. (f) From the information about t = 0, find the phase constant φ. (g) Write an expression for the wave function y(x, t).
A string of mass 3 g and length 1 m can carry a wave of 20 mW power. The amplitude of the wave is 2.25 mm. What is the tension applied to the string if it oscillates with a period of 40 ms.
On a real string of linear density μ, some of the energy of the wave dissipates as the wave travels down the string. Such a situation can be described by a wave function y (x, t) whose amplitude A(x) depends on the position x, by y (x, t) = A(x) sin(kx – wot), where A(x) = (Age¯b¾, for constant values AQ and b. Derive an expression for the average power P(x) transported by the wave as a function of x, where x > 0. P(x) =
In a swimming pool there are 4 waves with amplitude of 4A, 3A, 3A and 2A and the phase constants are 0, п/2, п and зπ/2. Calculate the resulting amplitude as a function of of A, the phase constant of the resulting wave, and the wave function.
A harmonic (sinusoidal) wave has a wavenumber of 1.163 m-1 and a period of 5.71 μs. What is the wave speed (phase velocity) in km/s?
The wavefunction of a mechanical wave on a string is described by y(xt) = 0.012sin(ux-100tt+2Tt/3). where x andy are in meters and tis in seconds. The transverse velocity of an element on the string at the left end (x- 0), at time t - 0 is: