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fomenos
3 years ago
6

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)=Asin(kx−ωt). a. Find the speed of propagation vp of this wave.b. Find the y velocity vy(x,t) of a point on the string as a function of x and t.
Physics
1 answer:
Effectus [21]3 years ago
8 0

Answer with Explanation:

We are given that  the mathematical form of wave

y(x,t)=Asin(kx-\omega t)

a.We have to find the speed of propagation of this wave

In given mathematical form

k=Wave number

\omega=Angular frequency

A=Amplitude

We know that

Speed of propagation of the wave=v_p=\frac{\omega}{k}

b.Differentiate w.r.r t

v_y(x,t)=-A\omega cos(kx-\omega t)

The velocity v_y(x,t) of a point on the string as  a function of x and t is given  by

v_y(x,t)=-A\omega cos(kx-\omega t)

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Answer:

Explanation:

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