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Find the y velocity vy (x, t) of a point on the string as a function of x and t. Express the y velocity in terms of w, A, k, x, and t.

Find the y velocity vy (x, t) of a point on the string as a function of x and t. Express the y velocity in terms of w, A, k, x, and t.

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Problem 35
Part B Find the y velocity vy (x, t) of a point on the string as a function of x and t. Express the y velocity in terms of w, A, k, x, and t. • View Available Hint(s) ΑΣφ Vy (x, t) %3D
Transcribed Image Text:Part B Find the y velocity vy (x, t) of a point on the string as a function of x and t. Express the y velocity in terms of w, A, k, x, and t. • View Available Hint(s) ΑΣφ Vy (x, t) %3D
Wave motion is characterized by two velocities: the velocity with which the wave moves in the medium (e.g., air or a string) and the velocity of the medium (the air or the string itself). Consider a transverse wave traveling in a string. The mathematical form of the wave is y(x, t) = A sin(kæ – wt) Part A Find the speed of propagation Vp of this wave. Express the velocity of propagation in terms of some or all of the variables A, k, and w. • View Available Hint(s) ΑΣφ ? Vp
Transcribed Image Text:Wave motion is characterized by two velocities: the velocity with which the wave moves in the medium (e.g., air or a string) and the velocity of the medium (the air or the string itself). Consider a transverse wave traveling in a string. The mathematical form of the wave is y(x, t) = A sin(kæ – wt) Part A Find the speed of propagation Vp of this wave. Express the velocity of propagation in terms of some or all of the variables A, k, and w. • View Available Hint(s) ΑΣφ ? Vp
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