You have a piece of string with a length of 4.0 m and a total
mass of 0.200 kg. You stretch the
string between two supports with a tension of 5.0 N. You then
excite a traveling wave by shaking
the left end of the string up and down so that:
y(x = 0, t) = (1.0 cm) cos(2π(1.0 Hz)t)
a) What are the wave speed, frequency, wavelength, angular
frequency and wavenumber of the
resulting sinusoidal traveling wave?
b) What is the amplitude of the wave? What is the energy per
wavelength in the wave? c) Sketch
the wave at t = 0, t = 0.25 s, t = 0.50 s, and t = 0.75 s.
You have a piece of string with a length of 4.0 m and a total mass...
A stretched string has a mass per unit length of 4.82 g/cm and a tension of 12.9 N. A sinusoidal wave on this string has an amplitude of 0.150 mm and a frequency of 168 Hz and is traveling in the negative direction of an x axis. If the wave equation is of the form y(x,t) = ym sin(kx + ωt), what are (a) ym, (b) k, and (c) ω, and (d) the correct choice of sign in front of...
A stretched string has a mass per unit length of 3.86 g/cm and a tension of 25.2 N. A sinusoidal wave on this string has an amplitude of 0.137 mm and a frequency of 156 Hz and is traveling in the negative direction of an x axis. If the wave equation is of the form y(x,t) = ym sin(kx + ωt), what are (a) ym, (b) k, and (c) ω, and (d) the correct choice of sign in front of...
A stretched string has a mass per unit length of 3.91 g/cm and a tension of 16.7 N. A sinusoidal wave on this string has an amplitude of 0.126 mm and a frequency of 78.0 Hz and is traveling in the negative direction of an x axis. If the wave equation is of the form y(x,t) = ym sin(kx + ωt), what are (a) ym, (b) k, and (c) ω, and (d) the correct choice of sign in front of...
Wave on a String A string with linear mass density 2.0 g/m is stretched along the positive x-axis under a tension of 20 N. The other end of the string, at x = 0m is tied to a hook that oscillates up and down at a frequency of 100Hz with a maximum displacement from equilibrium of 1.0 mm. At t= 0s, the hook is at it's lowest point. (a) What are the wave speed and the wavelength on the string?...
SELF TESTI 1. A wave is described by the equation y = 4 sin(31-6x) (SI units). a) Is the wave traveling in the +x or -x direction? b) Determine the amplitude, angular frequency, wavenumber, frequency, period, and wavelength (don't forget units). 2. A wave moves along a string in the +x direction with a speed of 8.0 m/s, a frequency of 4.0 Hz, and amplitude of 0.050 m. a) Determine the wavelength. b) Determine the wavenumber. c) Determine the period....
The power versus time for a point on a string (μ = 0.06
kg/m) in which a sinusoidal traveling wave is induced is
shown in the following figure. The wave is modeled with the wave
equation y(x, t) = A sin[(25.43 m−1)x − ωt]. What are
the frequency (in Hz) and amplitude (in m) of the wave?
The power versus time or a point on a string μ 0.06 kg/m n which a sinusoidal traveling wave sind ce s snow...
Wave on a String A string with linear mass density 2.0 g/m is stretched along the positive x-axis under a tension of 20 N. The other end of the string, at x = 0m is tied to a hook that oscillates up and down at a frequency of 100Hz with a maximum displacement from equilibrium of 1.0 mm. At t= 0s, the hook is at it's lowest point. (a) What are the wave speed and the wavelength on the string?...
A transverse wave is traveling along a string of total mass M, length L, and tension T. Which of the following is correct? a. The wavelength of the wave is proportional to L. b. The wave velocity depends on M,L,and T. c. The frequency of the wave is proportional to the wavelength. d. The speed of motion of a point on the string is the same as the velocity of propagation of the wave.
You have a string with a mass of 12.9 g. You stretch the string with a force of 9.19 N, giving it a length of 1.95 m. Then you vibrate the string transversely at precisely the frequency that corresponds to its fourth normal mode, that is, at its fourth harmonic. What is the wavelength of the standing wave you create in the string? What is the frequency? Wavelength? (m) Frequency? (Hz)
You have a string with a mass of 0.0127 kg. You stretch the string with a force of 8.41 N, giving it a length of 1.97 m. Then, you vibrate the string transversely at precisely the frequency that corresponds to its fourth normal mode; that is, at its fourth harmonic. What is the wavelength of the standing wave you create in the string? What is the frequency? wavelength: m frequency: Hz