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 wave on a string is described by y(x,t)=( 2.0 cm )×cos[2π(x/( 3.6 m )+t/( 0.20...
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?
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 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
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 =...
A wave on a string is described by D(x,t)=(2.4cm)× sin[2π(x/(3.6m)+t/(0.18s)+1)], where x is in m and t is in s. -What is the frequency? -At t=0.45s, what is the displacement of the string at x=0.30m? D( 0.30m, 0.45t)= ?
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 traveling wave is described by the function y(x,t) = 2 cos(3pi*t − 4pi*x), where y is in cm, x is in meters, and t is in seconds. a. In what direction is the wave traveling? b. What is the speed of the wave? c. What is the transverse acceleration of the wave at y = 0 and t = 1 second? d. Write an expression for the second harmonic of this wave (i.e., same speed, but twice the frequency).
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...