7.05 Lab Waves 1

[Germain Aguilera]

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A quartz watch contains a crystal oscillator in the form of a block of quartzthat vibrates by contracting and expanding. An electric circuit feeds inenergy to maintain the oscillation and also counts the voltage pulses to keeptime. Two opposite faces of the block, \(7.05 \mathrmmm\) apart, areantinodes, moving alternately toward each other and away from each other. Theplane halfway between these two faces is a node of the vibration. The speed ofsound in quartz is equal to \(3.70 \times 10^3 \mathrmm / \mathrms\). Findthe frequency of the vibration.

A string that is \(30.0 \mathrmcm\) long and has a mass per unit length of\(9.00 \times 10^-3 \mathrmkg / \mathrmm\) is stretched to a tension of\(20.0 \mathrmN\). Find (a) the fundamental frequency and (b) the next threefrequencies that could cause standing-wave patterns on the string.

Two identical sinusoidal waves with wavelengths of \(3.00 \mathrmm\) travel inthe same direction at a speed of \(2.00 \mathrmm / \mathrms\). The secondwave originates from the same point as the first, but at a later time. Theamplitude of the resultant wave is the same as that of each of the two initialwaves. Determine the minimum possible time interval between the startingmoments of the two waves.

An A-major chord consists of the notes called \(\mathrmA\),\(\mathrmC^\prime \prime\), and \(\mathrmE\). It can be played on a piano bysimultaneously striking strings with fundamental frequencies of \(440.00\mathrmHz, 554.37 \mathrmHz\) and \(659.26 \mathrmHz\). The rich consonanceof the chord is associated with near equality of the frequencies of some ofthe higher harmonics of the three tones. Consider the first five harmonics ofeach string and determine which harmonics show near equality.

ASWBLI: Axisymmetric Shock Wave Boundary Layer Interaction near M=7The purpose here is to provide a validation case for turbulence models. Unlike verification, which seeks to establish that a model has been implemented correctly, validation compares CFD results against data in an effort to establish a model's ability to reproduce physics. A large sequence of nested grids of the same family are provided here if desired. Data are also provided for comparison. For this particular axisymmetric shock wave boundary layer interaction (SWBLI) case, the data are from experiment. The experiment involved a cone / ogive cylinder forebody with flares of varying angles (20 to 35 degrees).The current case has a flare angle of 20 degrees. The leading edge is a 10 degree cone that transitions via a circulararc to a constant area cylinder with radius approximately 10.15 cm. The flare (designed to produce an oblique shock and SWBLI) is located139 cm downstream of the leading edge. The turbulent boundary layer upstream of the flare is approximately 2 cm thick. As described in Georgiadis et al (AIAA Paper 2015-0316, January 2015, -0316),the leading edge can be excluded from the CFD calculation, provided that the inflow location and boundary conditions areadjusted slightly (for example, Mach number is changed from 7.05 to 7.11); this is done here. The inflow location is placed at x = -78.39 cm.The wall (cylinder and flare) use no-slip BCs at constant temperature of 311 K.The boundary conditions are delineated in the figure below.It is important to note that this axisymmetric case is not a 2-D computation; it uses aperiodic (rotated) grid system with appropriate boundary conditions on the periodic sides of the grid.Note: at high Mach numbers (e.g., M > 2), CFD transition to fully turbulent wall-bounded flow can be delayedcompared with flow at lower M. Also, the delayed transition location can vary significantly withthe freestream levels set. See, for example, Journal of Spacecraft and Rockets, Vol. 47, No. 1, 2010, pp. 11-20 andAIAA Journal, Vol. 47, No. 4, 2009, pp. 982-993 (which is based onAIAA Paper 2008-4403).For this test case, results are only plotted for regions of the flow that were fully turbulent.

GRIDSThe experiment was performed by Kussoy and Horstman; the data reference is:Kussoy, M. I. and Horstman, C. C., "Documentation of Two- and Three-Dimensional Hypersonic Shock Wave BoundaryLayer Interaction Flows," NASA TM 101075, January 1989, The geometry layout from the experiment is shown in the following figure.

Note: The above figure has rounded the cylinder diameter dimension to 20 cm; this validation case uses 20.3 cm, as perNASA TM 101075.The experimental data used here consists of some upstream profiles, along with wall pressures and wall heat transfer over the body.The quantity y' indicates the vertical distance from the cylinder surface.The quantity "S" is measured along the wall surface, with S=0 located at the start of the flare.The definition of wall heat transfer Qw is: Qw=-k (dT/dy)w, where k is the thermal conductivity of the fluid.Note that the normalizing infinity ("inf") values are taken upstream of the interaction region, here assumed to be outside the boundary layer at x=S=-6 cm, but not beyond the shock layer that originates from the inflow of the domain.

ToneGen Audio Tone Generator is a free app for iOS published in the System Maintenance list of apps, part of System Utilities.

The company that develops ToneGen Audio Tone Generator is NCH Software. The latest version released by its developer is 7.05.

To install ToneGen Audio Tone Generator on your iOS device, just click the green Continue To App button above to start the installation process. The app is listed on our website since 2022-03-22 and was downloaded 33 times. We have already checked if the download link is safe, however for your own protection we recommend that you scan the downloaded app with your antivirus. Your antivirus may detect the ToneGen Audio Tone Generator as malware if the download link is broken.

How to install ToneGen Audio Tone Generator on your iOS device:Click on the Continue To App button on our website. This will redirect you to the App Store.Once the ToneGen Audio Tone Generator is shown in the iTunes listing of your iOS device, you can start its download and installation. Tap on the GET button to the right of the app to start downloading it.If you are not logged-in the iOS appstore app, you'll be prompted for your your Apple ID and/or password.After ToneGen Audio Tone Generator is downloaded, you'll see an INSTALL button to the right. Tap on it to start the actual installation of the iOS app.Once installation is finished you can tap on the OPEN button to start it. Its icon will also be added to your device home screen.

The race will be flagged off in a staggered wave format. This will involve several flag offs with a interval of 5 minutes between the waves. This measure is being implemented in line with strict new protocols and regulations mandated by Nparks.

2. All Participants are to bring along a hydration vest or any means to carry a minimum of 1L of hydration during the race. Waterpoints are located at a average of 5 to 6km apart and hence we emphasize the importance of all participants to be carrying their own hydration throughout the race.

The route involves 3 road crossings which unfortunately could not be avoided in the course design. Road marshals will be deployed at all 3 road crossingsYou are to strictly follow the instructions of the road marshals at all times and do not attempt to cross the road at your own discretion. Failure to comply with road marshals instructions will result in a 2 minute time forfeit penalty being imposed without exemptions. A full 2 minute will be deducted from your finish time.

A fully resourced lesson(suitable for KS3, 4 & 5) that covers the formation of waves, fetch, different characteristics of constructive and destructive waves, and exam question practice.

All worksheets, video links and resources included within the ppt. Lesson contains mini plenaries through to check understanding, and exam questions with answers.

We had exceptional weather, ideal water levels, and an absence of blackflies for our almost annual Machias River Trip. Four Machias veterans participated: Rick Farnsworth and Morgan Baxter in solo canoes and Ken Gordon and Ron Chase in expedition kayaks. Due to multiple road closures, we decided on a four-day trip from about a mile above Carrick Rips to the Village of Machias. Morgan shortened his trip by a day taking out at Smith Landing. This was truly an exceptional expedition; great company, exceptional weather, perfect water levels and outstanding cooking by Rick and Morgan. We styled all of the difficult rapids.

Bryan and Aylan, in the Slice, were getting some good rides at both surfing spots. All the boaters who wanted to got good rides. One kayaker flipped and hit their head in the upper wave and had a short swim, but otherwise everyone had a good time at the waves. From there, it is short float to the takeout at the bridge. All in all it was a very good day to be on the river with such a good group of paddlers.

The weather was favorable, and the cold and showers held off for the Upper portion of the double header beginning in South Royalston, MA. Mason elected to start above the dam and run it straight through. Something not done at lower flows. The release was higher than usual this year and many of the rapids and features on the Upper were subdued, but nonetheless fun. No problems going through the seven miles, aside from myself colliding into Mason as he turned to surf a two foot wave. Although the higher release may not be favorable for the Upper, it it has the opposite effect on the Lower. The wave trains were longer and higher and the Funnel, the class IV gem, was raging. We all got out to scout it and analyze our lines of choice, except for Mason. Using his laser guided river reading vision, he went straight through the middle, dodging huge, furious holes and monster recirculations, threading the perfect line. Ah, to be young.

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