Explore BrainMass

Explore BrainMass

    traveling wave equation obtain much information about the wave.

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    One end of a long wire under tension is moved up and down sending a wave along it. Assume the wire lies along an x axis with the moving end at the origin. The equation giving displacement y, in meters, of points on the wave is:
    (1) y= (.06 m) sin (5 x - 25 t)
    a. From given constants, calculate the value and units of the quantities called for below:
    angular frequency w, period T, wave number k, wavelength L,
    wave speed c, partial derivative dy/dx at t= .17 sec, and the partial derivative dy/dt at x= 2.2 m.
    b. Find the displacement of a point which is 2.0 m from the origin, at time t=.17 sec. .
    c. For a point which is at x1= 2.4 m from the origin, write y(x1, t) with numbers and units for constants, for the SHM of that point, and find the maximum velocity of that point.

    © BrainMass Inc. brainmass.com December 24, 2021, 4:59 pm ad1c9bdddf

    Solution Preview

    Physics statements:
    A. The general equation for a traveling wave is given by:
    (2) y= Y sin (k x - w t)
    B. In the general equation, (2), some auxiliary relationships are:
    (3) k= 2 Pi / L
    (4) w= 2 Pi / T
    (5) dy/dt is the "particle velocity", or the velocity of any point on the wave,
    (6) dy/dx is the slope of the sine wave as a function of x at ...

    Solution Summary

    The expert examines traveling wave equations obtaining information about the waves. The displacement of a point of origins are determined.