2 Which of the following expressions accurately describes how these two distinct waves will combine? We call this interaction the principle of superposition. Y₁ x y2 = sin((πx - 2πt) × (+2πt)) = sin + n²xt - 4n²¹1²) 000 y₁ x y2 = sin (πx - 2πt) × sin (+2πt) Y₁ + y2 = sin(x - 2nt +2 +2nt) Y₁ + y2 = sin(x - 2πt) + sin(+2πt) (22. = = sin (³72) Based on the equations for these two waves, please identify the following properties of these waves. Note; since the equations above are given without units, the answers b will be without units. Reviewing equations 1 and 2 may help you answer these questions. Some answers may be used multiple times.

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Chapter1: Units, Trigonometry. And Vectors
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In this lab, you will need to be able to describe how multiple waves interact with each other. This does not add too much mathematical complexity to the wave equation (B
and 2) it allows us to develop a closer approximation of real-life situations as well (e.g. interacting ripple patterns in a pond, music, atomic physics, etc.). Here you will explor
superposition of two waves, y₁ and y2, where
у1 х уг
Which of the following expressions accurately describes how these two distinct waves will combine? We call this interaction the principle of superposition.
2
= sin
(txt
2
πα
=
sin ((T2 − 27t) × ( +2nt))
2
+2ất)
πα
31 X 2 = sin (Tử – 2nt) × sin (
πX
Y₁ + y₂ = sin (™x - 2πt + ₂ + 2πt)
31+32
The amplitude of y1 is
=
sin (Tæ — 27t) +sin (T2+27t)
The amplitude of y2 is
The wavelength of y1 is
Screenshot
The wavelength of y2 is
The frequency of y1 is
Based on the equations for these two waves, please identify the following properties of these waves. Note; since the equations above are given without units, the answers b
will be without units. Reviewing equations 1 and 2 may help you answer these questions. Some answers may be used multiple times.
The frequency of y2 is
The wave velocity of y1 is
=
Y1 =
The wave velocity of y2 is
sin (³77)
sin(x - 2πt) and Y2 =
sin(+2πt)
+ π²xt - 4π²1²)
Transcribed Image Text:1 2 In this lab, you will need to be able to describe how multiple waves interact with each other. This does not add too much mathematical complexity to the wave equation (B and 2) it allows us to develop a closer approximation of real-life situations as well (e.g. interacting ripple patterns in a pond, music, atomic physics, etc.). Here you will explor superposition of two waves, y₁ and y2, where у1 х уг Which of the following expressions accurately describes how these two distinct waves will combine? We call this interaction the principle of superposition. 2 = sin (txt 2 πα = sin ((T2 − 27t) × ( +2nt)) 2 +2ất) πα 31 X 2 = sin (Tử – 2nt) × sin ( πX Y₁ + y₂ = sin (™x - 2πt + ₂ + 2πt) 31+32 The amplitude of y1 is = sin (Tæ — 27t) +sin (T2+27t) The amplitude of y2 is The wavelength of y1 is Screenshot The wavelength of y2 is The frequency of y1 is Based on the equations for these two waves, please identify the following properties of these waves. Note; since the equations above are given without units, the answers b will be without units. Reviewing equations 1 and 2 may help you answer these questions. Some answers may be used multiple times. The frequency of y2 is The wave velocity of y1 is = Y1 = The wave velocity of y2 is sin (³77) sin(x - 2πt) and Y2 = sin(+2πt) + π²xt - 4π²1²)
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