(a) Write the expression for y as a function of x and t in SI units...
Write the expression for y as a function of x and t for a sinusoidal wave along a rope in the negative x direction with the following characteristics: A = 8.00 cm: lambda = 80.0 cm: f= 3.00 Hz and y(0, t) = 0 at t = 0. Write the expression for y as a function of x and t for the wave in part (a) assuming y(x, 0) = 0 at x = 10.0 cm.
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 wave function for a traveling wave on a taut string is (in SI units) y(x,t) = 0.360 sin 14πt − 2πx + π 4 (a) What are the speed and direction of travel of the wave? speed m/s direction (b) What is the vertical position of an element of the string at t = 0, x = 0.200 m? m (c) What is the wavelength of the wave? m (d) What is the frequency of the wave? Hz (e)...
the wave function for a traveling wave on a taut string is (in si units) y(x,t) = 0.360 sin (15pi -2pix + pi/4) Assignment #20 - PHYS 2213, Fal x + → C webassion.net/web/Student/Assignment-Responses/submit?dep=22560947&ta Jx 082 If you know the number of waves that come past every second (the frequency) and the length Need Help? 2. 2/6 points Previous Answers SerPSE 10 16.2.OP.007.MI. The wave function for a traveling wave on a taut string is (in SI units) x(xt) -...
A transverse harmonic wave travels on a rope according to the following expression: y(x, t) = A cos(kx − ωt − φ) The mass density of the rope is μ = 0.113 kg/m. x and y are measured in meters and t in seconds. Using the graphs at of y vs t at x=0 and y vs x at t=0 shown below, answer the following questions: (a) What is the value for the wave number, k, for the expression y(x,t)?...
A propagating wave is described by the wave function (in SI units) y(x, t) = 3 sin(4.x + 2.t) What can be said about the direction of wave propagation and its speed (assume positive x direction is to the right)? o Wave propagates to the left with the speed of 0.5 m/s o Wave propagates to the right with the speed of 0.5 m/s o Wave propagates to the left with the speed of 2 m/s o Wave propagates to...
Let's consider a function described in terms of its displacement y(x,t) at t 0 by: where a, b and e are positive constants a) Write an expression for this wave profile, having a speed in the negative x-direction, as a function of position and time (b) Sketch the profile of the wave at t-0 s and t 2 s if v1 m/s (c) Determine if the following functions describe a travelling wave: (i) vr,t) (ar+ bt c), where a, b...
4. Travelling Waves and Their Characteristics A sinusoidal rope wave travels along the positive x - direction. You are also told that the speed of the wave is 20 cm/s, its frequency is 40 Hz, and that the wave is subject to the following initial conditions: at x = 0 and t = 0: y = +5 cm, and, at x = 0 and t = 0:09 = +10 cm/s (this is the transverse velocity of a point on the...
A standing wave is described by y(x, t)-[36.5 sin(4.34x)]cos(235t), where all constants are in appropriate SI units. What are the wave functions for the two traveling waves that make up this standing wave? (Use the following as necessary x and t. Do not enter units in your answers.) 1 (x, t) (travels in the +x direction) y2 (x, t) = (travels in the -x direction)
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