Learning Object Harmonic Waves
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The document describes harmonic waves and provides an example involving echolocation in bats. It defines harmonic waves using the equation D(x) = A sin(kx) and discusses key terms like amplitude, wavelength, wave number, and speed. For the bat example, it calculates that the speed of the sound wave is 75,000 m/s, the wave number is 0.84 rad/m, and the equation for the travelling wave is D(x, t) = 0.9sin(4.19x- 0.000126t). It also sketches the function.
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This Learning Objective gives a broad look at the basics of Harmonic Waves. Definitions, equations and examples of basic clicker questions are provided as well as the answers and the solutions as to how these questions are properly done.
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This document discusses harmonic waves in physics. It defines a harmonic wave as one generated by a source undergoing simple harmonic motion. The document contains diagrams of harmonic waves with different wavelengths and wave numbers. It provides the equation for the transverse displacement of a harmonic wave on a spring and discusses how this equation can be modified to describe traveling harmonic waves by replacing x with x-vt or x+vt, where v is the wave speed. An example question is given to identify which equation does not describe a traveling harmonic wave.
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Spectroscopy introduction
Spectroscopy uses electromagnetic radiation to probe molecular structures and can be used for quantitative analysis. It examines properties like wavelength, frequency, and wave number. Different types of energy associated with molecules include translational, rotational, vibrational, and electronic. Spectroscopy analyzes these energies to determine molecular structure and composition.
LO: Harmonic Waves
This document discusses the parameters of harmonic waves including amplitude, wavelength, wave number, frequency, velocity, and acceleration. It provides the key equations that relate these parameters and define harmonic wave functions. Specifically, it defines displacement as a sine or cosine function of position and time with amplitude A, wavelength λ, wave number k, angular frequency ω, and phase constant φ. Velocity and acceleration are defined as the first and second derivatives of displacement respectively.
Lo
This document discusses harmonic waves and travelling harmonic waves. It provides relevant equations such as the wave number k being equal to 2π divided by the wavelength λ. The angular frequency ω is equal to 2π divided by the period T. The displacement of a travelling harmonic wave D(x,t) is described by the equation D(x,t) = A sin(kx - ωt) where A is the amplitude, k is the wave number, x is position, ω is angular frequency, and t is time. An example problem is worked through to find the displacement, wavelength, and frequency of a travelling harmonic wave given its displacement equation.
Travelling Harmonic Waves
This document discusses harmonic waves and travelling harmonic waves. It provides relevant equations such as the wave number k being equal to 2π divided by the wavelength λ. The angular frequency ω is equal to 2π divided by the period T. The displacement of a travelling harmonic wave D(x,t) is described by the equation D(x,t) = A sin(kx - ωt) where A is the amplitude, k is the wave number, x is position, ω is angular frequency, and t is time. An example problem is worked through to find the displacement, wavelength, and frequency of a travelling harmonic wave given its displacement equation.
Travelling waves
This document discusses harmonic waves and travelling harmonic waves. It provides relevant equations including that the wave number k is equal to 2pi divided by the wavelength lambda. It also defines the angular frequency w as equal to 2pi divided by the period T. The displacement of a travelling harmonic wave D(x,t) is described by the equation D(x,t) = A sin(kx - wt) where A is the amplitude, k is the wave number, x is position, t is time, and w is the angular frequency. An example problem is worked through to find the displacement, wavelength, and frequency of a travelling harmonic wave given its displacement equation.
Physics 101 lo1
Alex is practicing ribbon dancing and creates a continuous wave that travels along her ribbon in simple harmonic motion. The graph shows one cycle of the ribbon wave passing through point Z. The summary finds:
(1) The amplitude is 0.5m, the maximum displacement from the horizontal axis.
(2) The wavelength is 2.5m, the distance between consecutive crests/troughs.
(3) The wave number is 4π/5 rad/m, representing the distance traveled within one wavelength.
(4) The period is 4s and frequency is 1/4 Hz, the time and rate of one full wave passing point Z.
(5) The wave speed is 5/
Harmonic waves
Harmonic waves undergo simple harmonic motion and can be modeled using sine and cosine functions. They have characteristics such as amplitude, wavelength, period, frequency, and phase constant. Harmonic wave equations include wave number, wave speed, and wave functions for decreasing and increasing x. Instantaneous velocity and acceleration can be calculated by taking derivatives of displacement and substituting values into the equations. For example, a 90cm cello string vibrating at 400Hz has a wavelength of 180cm, so its wave speed is calculated to be 720m/s.
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Compound A
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Compound B
Utilized by population 2
Compound C
utilized by both Population 1+2
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+
53.13485
−
27.82088
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0.007
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�
(
�
−
�
)
∼
0.9
) despite a host galaxy with low-extinction and has a high Ca II velocity (
19
,
000
±
2
,
000
km/s) compared to the general population of SNe Ia. While these characteristics are consistent with some Ca-rich SNe Ia, particularly SN 2016hnk, SN 2023adsy is intrinsically brighter than the low-
�
Ca-rich population. Although such an object is too red for any low-
�
cosmological sample, we apply a fiducial standardization approach to SN 2023adsy and find that the SN 2023adsy luminosity distance measurement is in excellent agreement (
≲
1
�
) with
Λ
CDM. Therefore unlike low-
�
Ca-rich SNe Ia, SN 2023adsy is standardizable and gives no indication that SN Ia standardized luminosities change significantly with redshift. A larger sample of distant SNe Ia is required to determine if SN Ia population characteristics at high-
�
truly diverge from their low-
�
counterparts, and to confirm that standardized luminosities nevertheless remain constant with redshift.
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1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
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6:个人职称评审加20分
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Learning Object Harmonic Waves
- 1. Learning Object- Harmonic Waves A harmonic wave is a wave that is moving with simple harmonic motion. It is described by equation: D(x) =A sin(kx) Like simple harmonic motion, there is amplitude, (A) the oscillation between the highest and lowest displacement. The highest displacement is called a crest, and lowest displacement is a trough. Between two crests or two troughs gives the wavelength (λ). The wave number (k) is the amount of waves for a certain length. It is calculated by this formula: k= 2π/ λ The speed of a wave is described by v= λf. For a travelling wave, the equation describing the wave becomes D(x, t) = A sin(kx-wt) Question: Bats use echolocation to navigate the environment and forage for food. The frequency (f) of the sound of the bat is 50 kHz (50000 Hz). The sound waves produced by the bat undergoes harmonic motion with amplitude of 0.9m. The distance between two crests of the sound wave is 1.5m. A) How fast is the wave travelling? B) For example, if the distance of an object nearby is 5 times the wavelength of the sound (5λ). How many waves does it take to reach that object? (Calculate k). C) Formulate an equation for the travelling wave. D) Sketch this function from part C.
- 2. Answer: A) Using the formula v= λf , and knowing the frequency is 50000Hz and the distance between two crests is 1.5m. This means our wavelength (λ)is 1.5m. We now plug in our values to get v =(1.5)(50000) = 75000 m/s. B) Knowing the distance of the object is 5 times the wavelength. We write our formula as k=2π/ 5λ. We plug in our value 1.5m for our wavelength. k= 2π/ 5λ = 2π/5(1.5m) =2π/(7.5m) =0.84 rad/m C) The equation for a travelling wave is defined as D (x, t) = Asin(kx-wt). We know that frequency is 50000Hz, wavelength is 1.5m and amplitude is 0.9m. We can calculate our k constant (wave number) by using the formula k= 2π/ λ. We get k=2π/(1.5)= 4.19. So our k is 4.19. We need angular frequency, which can be calculated by using formula w=2π/f. We get w=2π/(50000)=0.000126. Now just plug everything into the formula, we get D(x, t) = 0.9sin(4.19x- 0.000126t). D)