What is the speed of a wave described by
y ( x , t ) = A cos ( k x − ω t )
if A = 0.13 m, k = 5.13 m − 1 , and ω = 130 s − 1 ?
A wave has frequency 1866 Hz and speed 350 m/s. What is the wave number, k , of this wave in m − 1 ? Report results to the nearest tenth. We were unable to transcribe this imageWe were unable to transcribe this image
a) By direct substitution determine which of the following functions satisfy the wave equation. 1. g(x, t) = Acos(kx − t) where A, k, are positive constants. 2. h(x, t) = Ae where A, k, are positive constants. 3. p(x, t) = Asinh(kx − t) where A, k, are positive constants. 4. q(x, t) = Ae where A, a, are positive constants. 5. An arbitrary function: f(x, t) = f(kx−t) where k and are positive constants. (Hint: Be careful with...
A wave has frequency 1915 Hz and speed 334 m/s. What is the wave number, k, of this wave in m−1? Report results to the nearest tenth. We were unable to transcribe this imagem-l In
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...
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 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 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...
Suppose we have a wave with k= 18.9 m−1 and speed 399 m/s. What is the wavelength in meters of this wave? Record your answer to 3 decimal places. We were unable to transcribe this imagem-l In
A transverse wave is described by y(x, t)-(6.50 mm) cos 2π y(r,t) (6.50 mm) cos 2T 28.0cm 0,0360 28.0cm0.0360s Calculate the speed of propagation of this wave in m/s. Sample submission: 1.23
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).