Given angular frequency of wave
w= 1.19
2*3.14/T= 1.19
T= 5.277 second
======
Commemt in case any doubt.. good luck
Question 1 2.5 pts For a function y (8.76cm) cos((1.19/s) * t), please determine the period...
A- For a wave function y = (3.99cm) cos((3.73/s) * t), please determine the angular frequency (in units of Hz). B- Frequency and angular frequency are two connected but different quantities. Given the frequency 97 Hz, what is the angular frequency (Hz)?
What is the fundamental period of the function s(t)=cos(2π10t)+cos(2π20t) in seconds (if t is measures in seconds) ?
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).
Question 1 5 pts Determine the Laplace transform of the given function f(t) = teu cos 4t OF(s) = (8-4)2-16 [18-4)2+16) None of them OF(8) (8-4)2-16 [(-4)2+4)* (8-4)2-4 [(8-4)2 +16] OF(s) Question 2 5 pts The general solution for the differential equation with x as the independent variable to y(4) - y" – 9y' +11y +6y=is_(Hint: y(x) = e(1- 2) is a solution.] 32 + Cle2 Oy(x) = cze(1+x2)x + cze(1-12x + c3 e3x + c4e-2x y(x) = cjell-v2)x +...
he wave function of a traveling wave on a thin rope is y(x,t)= 2.45 mm cos[( 7.06 m−1 )x+( 745 rad/s )t]. You measure the rope to have a length of 1.32 m and a mass of 3.34 g . Determine the amplitude. Determine the frequency. Determine the wavelength. Determine the wave speed. Determine the tension in the rope. Determine the average power transmitted by the wave
The function y(x, t) = (18.0 cm) cos(TX-27mt), with x in meters and t in seconds, describes a wave on a taut string, what is the transverse speed for a point on the string at an instant when that point has the displacement y = +15.0 cm?
The function y(x, t) = (15.0 cm) cos(pi x ? 12 pi t), with x in meters and t in seconds, describes a wave on a taut string. What is the transverse speed for a point on the string at an instant when that point has the displacement y = 12.0 cm?
Consider the following wave function: y(x, t) = cos(kx - omega t). a. Show that the above function is an eigenfunction of the operator partialdifferential^2/partialdifferential x^2[...] and determine its eigenvalue. b. Show that the above function is a solution of the wave equation expressed as partialdifferential^2 y(x, t)/partialdifferential x^2 = 1/v^2 partialdifferential^2 y(x, t)/partialdifferential t^2, given the wave velocity is v = omega/k (where omega = 2 pi V and k = 2pi/lambda).
(6 pts) The figure below shows a plot of a wave on a string [i.e. y(x,t)] as a function of time at location x = 0m. The wave is moving to the left at 20 m/s, write an equation for the wave. Fill the values of all numerical constants. Only x (in meters) and t (in seconds) and sin or cos should remain as symbols in your result. FNA 1.0 05 05 01 015 t(sec)
Please solve the whole question
Question 1 (a) Determine if the following functions represent traveling waves? (b) Could either represent a harmonic wave? (c) If possible, determine the velocity of the wave (speed and direction) wavelength, angular frequency and the phase of the wave:() y(xt)-A(x -1) and, (I) E(x,t) = E, cos k(x-ct). (20 pts)