13. I The displacement of a wave traveling in the positive x-direction is D(x, t) (3.5 cm) sin(2....
The displacement of a wave traveling in the positive x-direction is y(x, t) = (3.5 cm)cos(2.7x - 122t), where x is in m and t is in s. (a) What is the frequency of this wave? Hz (b) What is the wavelength of this wave? m (c) What is the speed of this wave? m/s
A traveling wave is described by the equation: TT y(x, t) = (0.35 cm) sin ( 3173 107t + 4 Find: a. the wavelength of the wave; b. the period of the wave; c. the speed and direction of travel of the wave; Now consider the particle at x = 10 cm. d. Find the vertical displacement of the particle t = 0. e. Find the maximum transverse speed and acceleration of the particle. If the oscillator that is generating...
The sinusoidal wave shown in the figure below is traveling in the positive x-direction and has a frequency of 20.6 Hz. (a) Find the amplitude. cm? (b) Find the wavelength. cm? (c) Find the period. s? (d) Find the speed of the wave. m/s?
A wave on a string is described by D(x,t)=(3.6cm)× sin[2π(x/(8.4m)+t/(0.16s)+1)], where x is in m and t is in s. A)In what direction is this wave traveling? B) What is the wave speed? C)What is the frequency? D)What is the wave number? E) At t=0.24s, what is the displacement of the string at x=9.1m?
A sinusoidal wave is traveling on a string with speed 28.0 cm/s. The displacement of the particles of the string at x = 8.3 cm is found to vary with time according to the equation y = (1.3 cm) sin[1.6 - (5.4 s-1)t]. The linear density of the string is 6.4 g/cm. What are (a) the frequency and (b) the wavelength of the wave? If the wave equation is of the form y(x,t) = ym sin(kx - ωt), what are...
The equation of a transverse wave traveling along a very long string is given by y = 6.1 sin(0.018πx + 3.1πt), where x and y are expressed in centimeters and t is in seconds. Determine the following values. (a) the amplitude cm (b) the wavelength cm (c) the frequency Hz (d) the speed cm/s (e) the direction of propagation of the wave +x−x +y−y (f) the maximum transverse speed of a particle in the string cm/s (g) the transverse displacement at...
(1) A wave is traveling in the positive-y direction with wavelength λ f Hz. At t is 6m 12 m and frequency 0, there is no displacement of the medium at the origin, but its amplitude a) Write the equation for the displacement of this wave as a function of position and (b) Draw a quantitatively accurate history graph (at y 3m) and snapshot graph (at t 2s) (c) What is the speed of the wave?
3) A sinusoidal wave traveling in the +x direction has a wavelength of 20 cm, a period of 10 s. has an amplitude of 3 cm and has no displacement from equilibrium at x and t-0. a) Write an equation describing this wave. b) What is the speed of the wave? c) What is the transverse speed of the wave at x = 0 when t-5s?
The displacement of a transverse traveling wave on a string under tension is described by: D(x, t) = (2.0 cm) .sin((12.57 rad/m)x + (638 rad/s)t + /2] The linear density of the string is 5.00 g/m. 1. What is the tension in the string? 2. What is the maximal speed of a point on the string? String 2 3. The original string (String 1) is tied to a second string with String 1 a linear density of 12 g/m, as...
A transverse sinusoidal wave is moving along a string in the positive direction of an x axis with a speed of 87 m/s. At t=0, the string particle at x = has a transverse displacement of 4.2 cm from its equilibrium position and is not moving. The maximum transverse speed of the string particle at x = is 17 m/s. (a) What is the frequency of the wave? (b) What is the wavelength of the wave? If the wave equation...