Chapter 16

Question 1

The phase constant

Answer 1

𝑥(𝑡)=𝐴 cos⁡(𝜔𝑡+𝜙)

Question 2

Phase constant for y-𝜃

Answer 2

𝑦(𝜃)=𝐴 cos⁡〖(𝜃)〗

Question 3

Phase constant for y-𝜃

Answer 3

𝑦(𝑥)=𝐴 cos⁡〖(𝜃+𝜙)〗

Question 4

Phase constant for x-t if 𝜙=0

Answer 4

𝑥(𝑡)=𝐴 cos⁡〖(𝜔𝑡)〗

Question 5

Phase constant x-t if 𝜙>0

Answer 5

Question 6

𝒙(𝒕) means x-t

Answer 6

“x-position as a function of time”

Question 7

𝒙(𝒕) means (x-t graph)

Answer 7

“x-position as a function of time”

Question 8

𝒚(𝒙) means
(x-t graph)

Answer 8

“y-position as a function of 𝒙-position”

Question 9

𝒚[𝒎] on a graph axis, means (x-t graph)

Answer 9

y-position measured in meters

Question 10

Wave motion – snapshot (photograph) when?

Answer 10

We take a snapshot (a photograph) and we get a graph of 𝑦-POSITION versus 𝑥-POSITION.

Question 11

If 𝜆 meters is the distance for one cycle, write the mathematical expression for this graph

Answer 11

Question 12

𝑘 the spring constant equation

(remember is different then for wave number)

Answer 12

Question 13

𝑘 the wave number equation

(remember it is different then spring constant)

Answer 13

Question 14

𝑘 the wave number equation

(remember it is different then spring constant)

Answer 14

Question 15

Waves – snapshot general equation

Answer 15

𝑦(𝑥)=𝐴 cos⁡〖(𝑘𝑥)〗= 𝐴 cos⁡(2𝜋/𝜆 𝑥)

Question 16

What is the equation using this graph? and the wavelenght?

Answer 16

𝑦(𝑥)=2 cos⁡〖(2𝑥)〗

𝝀=𝝅 𝒎

Question 17

Tranverse Wave Motion: The relationship between particle and wave

Answer 17

Question 18

Wave Speed

Answer 18

Question 19

The General Wave Equation

Answer 19

𝑦(𝑥,𝑡)=𝐴sin(𝑘𝑥±ω𝑡+𝜙)

Question 20

Do you remember, for a mass-spring system, we had two expressions (equations) for the angular frequency, 𝝎

Answer 20

Question 21

, the speed of a wave can be written in terms of properties of the wave, and properties of the medium/material

Answer 21

Question 22

Linear mass density:

Answer 22

Question 23

Centripetal acceleration to the centre of the circle

Answer 23

Question 24

The power of a wave on a rope/wire/string:

Answer 24

Question 25

The power of a wave on a rope/wire/string:

Answer 25

Question 26

Definition of intensity:

Answer 26

Question 27

Definition of intensity:

Answer 27

Question 28

Surface area of a sphere

Answer 28

Question 29

Surface area of a sphere

Answer 29

two interfering waves of the same frequency, wavelength and amplitude

Question 30

Summation of the displacement of two waves, y1 and y2 that propagate in opposite directions

Answer 30

Question 31

Resultant wave equation

Answer 31

𝐲^′ (𝐱,𝐭)=𝐲_𝟏 (𝒙,𝒕)+𝒚_𝟐 (𝒙,𝒕)

Question 32

Resultant wave equation

Answer 32

𝐲^′ (𝐱,𝐭)=𝐲_𝟏 (𝒙,𝒕)+𝒚_𝟐 (𝒙,𝒕)

Question 33

What can you think of this term as?

Answer 33

as the amplitude of the snapshot

Question 34

What is the red underlined mean?

Answer 34

Effective Amplitude of sin⁡(𝑘𝑥)

Question 35

Standing waves: Resonance

Answer 35

Question 36

How did they get here?

Answer 36