Consider a monochromatic wave on a sting described by an equation Y(x,t) = cos (x - t). Assume everything is expressed in SI units.
a) Which way the wave is moving, left or right?
b)
Suppose the same string is now fixed at two ends and has a length 1 m. 2.6
Find three lowest frequencies of standing wave resonances.
c) Sketch the profile of the string corresponding to the second standing wave
d) What should be the speed of wave on a string in order for the first resonance has a frequency of the standard A-tone (440 Hz).
Consider a monochromatic wave on a sting described by an equation Y(x,t) = cos (x -...
A wave on a string is described by y(x,t)=( 2.0 cm )×cos[2π(x/( 3.6 m )+t/( 0.20 s ))] , where x is in m and t is in s. A)In what direction is this wave traveling? Negative B)What is the wave speed? 18 m/s C)What is the wave frequency? Hz D)What is the wave length? m E)At t = 0.50 s , what is the displacement of the string at x = 0.30 m ? cm
A standing wave is described by y(x, t)-[36.5 sin(4.34x)]cos(235t), where all constants are in appropriate SI units. What are the wave functions for the two traveling waves that make up this standing wave? (Use the following as necessary x and t. Do not enter units in your answers.) 1 (x, t) (travels in the +x direction) y2 (x, t) = (travels in the -x direction)
The wave function for a standing wave on a string is described by y(x, t) = 0.016 sin(4πx) cos (57πt), where y and x are in meters and t is in seconds. Determine the maximum displacement and maximum speed of a point on the string at the following positions. (a) x = 0.10 m ymax = m vmax = m/s (b) x = 0.25 m ymax = m vmax = m/s (c) x = 0.30 m ymax = m vmax = m/s (d) x = 0.50...
The wave function for a standing wave on a string is described by y(x, t) = 0.023 sin(4x) cos (591), where y and x are in meters and t is in seconds. Determine the maximum displacement and maximum speed of a point on the string at the following positions. (a) x = 0.10 m Ymax = Vmax = m/s m (b) x = 0.25 m Vmax = Vmax = m m/s (c) x = 0.30 m Ymax = m Vmax...
The wave function for a standing wave on a string is described by y(x, t) = 0.021 sin(4x) cos (56át), where y and x are in meters and t is in seconds. Determine the maximum displacement and maximum speed of a point on the string at the following positions. (a) x = 0.10 m Ymax = m Vmax = m/s (b) x = 0.25 m Ymax = Vmax = m m/s (c) x = 0.30 m Ymax = Vmax =...
The equation of a transverse wave traveling in a string is given by y= 0.10m cos((0.79 m) x - (13 s) t - 0.89, in which x and y are expressed in meters and t in seconds. Find an equation for another wave which, when added to the first, will result in a standing wave being produced.
(d) A standing wave is described by equation of the form an t+) y Ysin(kx)sin( The wave has a frequency of 11.5 Hz and a wavelength of 1.30 m. At t = 0 the displacement at the antinodes is given by y = Y= 0.125 m. What is the displacement at A/8 when t = 30.0 ms? the point x (d) A standing wave is described by equation of the form an t+) y Ysin(kx)sin( The wave has a frequency...
You are given the wave y(x,t)= - 5 cos ( 3 x + 2t) where all quantities are in SI. This wave propagates to the ___________________ and has angular frequency _________________. left; 3 Hz right; 3 Hz None of the other choices is correct. right; 2 Hz left; 2 Hz
A standing wave is produced by a wave y1 = (2.50 cm)cos (3.07 cm-1)x − (2.33 s-1)t moving to the right and a wave y2 = (2.50 cm)cos (3.07 cm-1)x + (2.33 s-1)t moving to the left. At what location on the positive x axis along the string will the fifth antinode (beyond x = 0) be formed?
A traveling wave is described by the equation y(x,t) (0.17 m) cos(29 x+ 232 t), where x is measured in meter and t in seconds. What is the velocity of this wave in units of m/s? Enter a number with one digit behind the decimal point. Remember that in one dimension the sign of the velocity functions as the direction indicator.