6. The displacement (D) of a wave on a string is shown for a given location...
1. The left figure is a history graph that shows the displacement D of a traveling wave at a given position as a function of time. The right figure is a snapshot graph that shows the displacement of the same wave as a function of position. D (cm) D (cm) -1 -2 2/3 4 67 8 -2 (a) Determine the period T, the frequency f, and the angular frequency o for this wave. (b) Determine the wavelength 2, wavenumber K,...
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...
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 + 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 shown...
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...
13. I The displacement of a wave traveling in the positive x-direction is D(x, t) (3.5 cm) sin(2.7x 1241), where x is in m and t is in s. What are the (a) frequency, (b) wavelength, and (c) speed of this wave? 13. I The displacement of a wave traveling in the positive x-direction is D(x, t) (3.5 cm) sin(2.7x 1241), where x is in m and t is in s. What are the (a) frequency, (b) wavelength, and (c)...
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...
A wave on a string can be described by ?(?, ?) = (5.0 ??) cos (??/3 + 2??/3), where x is in m and t in s. i. Draw the snapshot graph of the wave at t = 0 s. ii. Draw the history graph at x = 0. iii. In what direction is the wave travelling? iv. What is the speed, frequency, and wavelength of the wave? v. At t = 1.5 s, what is the displacement of the...
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
The above figure shows height vs. displacement plot for a string which has a wave traveling to in the positive x direction at time t=2.9 sec with a velocity of 30 m/sec. 1) What is the amplitude of this wave? 2) What is the wavelength of this wave? 3) What is the frequency of this wave? 4) What is the vertical (y) velocity of a piece of string at the point labeled 1? (Ans cm/ sec) 5) What is the...
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?...