A wave is described by the equation y(x, t) = 35 sin (2 π x – 3 t +1.5), where all numerical values and variables have the appropriate units

Question

A wave is described by the equation y(x, t) = 35 sin (2 π x – 3 t +1.5), where all numerical values and variables have the appropriate units to produce displacement in cm, speed in cm/s, and time in seconds. What is the speed of the wave?

in progress 0
Khoii Minh 3 years 2021-08-17T11:48:31+00:00 1 Answers 103 views 0

Answers ( )

    0
    2021-08-17T11:49:59+00:00

    Answer:

    v = 0.477m/s

    Explanation:

    You have the following wave function:

    y(x,t)=35sin(2\pix-3t+1.5)       (1)

    where y is the vertical displacement of the wave for the position x.

    The general form of a wave function can be written as follow:

    y(x,t)=Asin(kx-\omega t+\phi)         (2)

    by comparing the equation (2) and (1) you have:

    A: amplitude of the wave = 35

    k: wave number = 2π

    w: angular frequency of the wave = 3

    φ: phase of the wave = 1.5

    The speed of the wave is given by the following formula:

    v=\frac{\omega}{k}        

    you replace the values of the parameters in the previous formula:

    v=\frac{3}{2\pi}=0.477\frac{m}{s}

    The speed of the wave is 0.477m/s

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )