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In this lesson, we will learn how to use amplitude, wave number, angular frequency, and phase shift to model the motion of a longitudinal wave.

Q1:

Consider a graph of a compression wave. Shown are snapshots of the wave function for (blue) and (red).

What is the wavelength of the compression wave?

What is the maximum displacement of the compression wave?

What is the velocity of the compression wave?

What is the period of the compression wave?

Q2:

Consider a sound wave modeled with the equation π ( π₯ , π‘ ) = 4 . 0 0 ( 3 . 6 6 π₯ β 1 2 5 6 π‘ ) n m c o s , where π₯ is measured in meters and π‘ is measured in seconds.

What is the maximum displacement of the sound wave?

What is the wavelength?

What is the frequency of the sound wave?

What is the speed of the sound wave?

Q3:

A sound wave is modeled with the wave function Ξ π = 1 . 2 0 οΉ π π₯ β 6 . 2 8 Γ 1 0 π‘ ο P a s i n 4 and the sound wave travels in air at a speed of π£ = 3 4 3 . 0 0 / m s .

What is the wave number of the sound wave?

What is the value for Ξ π ( 3 . 0 0 , 2 0 . 0 0 ) m s ?

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