(n.d.). Also Tsunami Sources Icosohedron Globe. Try angling the light above the tank or other positions to help you track the wave. The wave crests of a tsunami can range from a few to a hundred kilometers or more apart as they travel across the ocean. Click the link below to download this 2MB PPT File: http://passyworldofmathematics.com/MAVconfPPTs/TsunamiMathPPTv1.pptx, Ocean Mathematics Overview Their local effects, however, can sometimes be US Dept of Commerce The speed of a tsunami depends on the depth of the water it is traveling through. scientists and hazards planners design structures and plan communities kilometers apart (see figure). Human Health and the Ocean The data is then transmitted to a surface buoy via sonar. Remove any items away from the location that could be damaged by water. SEE ALSO Tsunami is a Japanese word that comes from two Chinese characters (kanji), tsu which means harbor and name, meaning wave. Please listen to your local radio and TV announcements or call 1300 TSUNAMI (1300 878 6264) for latest warning information. Figs. The formula estimates the tsunami's speed while it is in deeper waters (as it. In the deep ocean, tsunami waves may only be a few inches high and often go undetected. visible in this photograph. USC Tsunami Research Group. Each day Passys World provides hundreds of people with mathematics lessons free of charge. Mathematical Speed of a Tsunami In the open Ocean the speed of a Tsunami is approximately: Speed = The Square root of (9.8 x Water Depth) The 9.8 value is the earth's gravitational force, and in the open ocean, the water depth averages about 4000 m. Image Source: http://2.bp.blogspot.com The most common cause is a large earthquake that occur beneath the sea floor and cause the sea floor to uplift or subside. In the past, tsunamis have been referred to as "tidal waves" or "seismic sea waves". Record this data in your lab notebook (not in your data table). Large tsunamis can move across entire oceans. In this next video the Tsunami overcomes the protective sea wall that had been built around a Japanese town: [youtube=http://www.youtube.com/watch?v=CFvy2Lb_wEw&w=540&h=334]. Tsunami are shallow-water waves, because their wavelengths are so long relative to ocean depth. In 1995 the National Oceanic and Atmospheric Administration (NOAA) began developing the Deep-ocean Assessment and Reporting of Tsunamis (DART) system. Java and Sumatra. At sea, the height of a tsunami wave is not usually Each station consists of a sea-bed bottom pressure recorder which detects the passage of a tsunami. So, the phase speed at which tsunami wave moves is given by the long wave formula. Tsunami waves in the deep ocean can travel at high speeds for long periods of time for distances of thousands of kilometers and lose very little energy in the process. In the open ocean the waves are not high at all, and can pass under ships with no noticeable effect. Repeat steps 910. The speed and height of the tsunami wave depends on the depth of the ocean floor. Tsuanamis are waves that are hundreds of kilometers long, (and can have a wavelength between crests of 200km), and so the energy power they unleash is tens of thousands of times greater than that of even the biggest crushing surf or storm waves. Repeat step 9 nine more times to ensure more-accurate data. As a classroom lab in a sequence of instruction that includes lectures and labs on waves and their characteristics (including labs on shallow and deep water wave celerity and seiches). This is the height from which you will drop the wood block. stream It is important to realise that if a wave doubles its Wavelength, then its power will increase by a factor of the square root of 2 or around 41%. Satellite altimeters measure the height of the ocean surface directly by the use of electro-magnetic pulses. Theoretically, the minimum delay correction could reach 16 min for a tsunami with 100-500-km . <> (The pressure of the water column is related to the height of the sea-surface) . A wave becomes a shallow-water wave when the wavelength is very large compared to the water depth. Record the data in the. This next video that shows the power of these huge Tsunami waves as they hit the shore of Japan in 2011. . As tsunami waves approach the coastline, a large change takes place in Record this information in the data table under the. National Oceanic and Atmospheric Administration and National Weather Service. https://www.facebook.com/PassysWorldOfMathematics. They travel with speeds The majority of historic tsunamis have been located in the Pacific Ocean basin. . NOAA Tsunami Animation NOAA Tsunami Animation In the deep ocean, their speed can be similar to that of a jet plane, as high as 700 kilometers per hour. In the deep ocean, the typical water depth is around 4000 m, so a tsunami will therefore travel at around 200 m/s, or more than 700 km/h. The speed of a tsunami depends on the depth of the water it is traveling through. The average speed of the tsunami was about 750km across the Pacific Ocean. In deep water, a tsunami's energy is mostly located below the sea surface and the wave height is just a couple of meters. Enlarge tsunami energy/propagation map from the February 27, 2010, Pacific-wide tsunami, Enlarge tsunami energy/propagation map from the May 22, 1960, Pacific-wide tsunami, National Oceanic and Atmospheric Administration. Hold the wood block the same way each time your drop it into the water tank. A .gov Tsunamis vs. Wind Waves. "Seismic" implies an earthquake-related generation mechanism, but a tsunami can also be caused by a non-seismic event, such as a landslide or meteorite impact. If you read the "The physics of a tsunami" section, you will know that a tsunami travels at a speed that is related to the water depth - hence, as the water depth decreases, the tsunami slows. Most tsunamis are classified as long wavesthat is, waves with long wavelengths relative to their water depth. As it nears the coastline, and moves into shallower water, tsunamis usually slow down, but the wave height can grow to 100 feet! If you suddenly notice that the water has gone out much further than normal, treat this as a warning that the water could suddenly rush back in and evacuate. In the deep ocean, tsunamis can move as fast as a jet plane, over 500 mph (800 km/h), and can cross entire oceans in less than a day. In areas of the Pacific where the ocean depth is 20,000 feet, tsunami waves are less than a foot high and move at speeds of about 550 mph - about the speed of a jet. where Z is a function of the period , water depth h and . One problem with this kind of satellite data is that it can be very sparse - some satellites only pass over a particular location about once a month, so you would be lucky to spot a tsunami since they travel so quickly. These detailed coastal relief models provide a framework that allows the Tsunami Warning Centers to more accurately predict the tsunami impact in coastal communitiesand ultimately save lives from better warnings, says Kelly Stroker, Coastal Hazards Team Lead forNOAAs National Centers for Environmental Information (NCEI). Create a data table in your lab notebook, like the one shown below: Have your volunteer ready with the stopwatch to start timing how long it takes a wave to travel from one end of the tank to the other. Digital elevation models, or DEMs, integrate ocean depth data with coastal land . In Victoria Australia, beaches with Long waves that are very powerful include: Kilcunda, Woolamai, Venus Bay, and to a much lesser extent Inverloch. Our Facebook page has many additional items which are not posted to this website. Save the date for the 2023 Workshop for Early Career Geoscience Faculty, hosted by Macalester College in St. Paul, MN, from June 25-29, 2023! In addition, it is quite possible for more giant waves to keep arriving, even an hour after the first one has hit. The picture below shows the height of the sea surface (in blue) measured by the Jason satellite two hours after the initial earthquake hit the region southeast of Sumatra (shown in red) on December 26, 2004. All rights reserved. The speed and amplitude are very different from theoretical values: the speed is about 0.31 km/s, whereas the average tsunami speed in the Pacific is 0.2 km/s. . Impacts are often greatest in harbors where people and structures are concentrated at sea level. But the first wave is just as likely to be a crest meaning that there will be no water lowering, just a sudden increase in wave height and water penetration. The deeper the water, the more potential energy and driving force for the tsunami. Once you feel comfortable creating and tracking waves, start the experiment. As the waves approach the coast, their wavelength decreases and wave height increases. When a tsunami reaches the shore, the impact can destroy buildings and Instead of having a smooth bottom, place gravel on the bottom of the water tank. The increase of the tsunami's waveheight as it enters shallow water is given by: where hs and hd are waveheights in shallow and deep water and Hs and Hd are the depths of the shallow and deep water. of square kilometers of the sea floor. underwater earthquakes with large vertical displacements, submarine landslides) or from above (e.g. Thailand was also struck about two hours later, despite being closer to the epicentre, because the tsunami travelled more slowly in the shallow Andaman Sea off its western coast. What is the relationship between wave velocity and water depth? But when you feel an earthquake at the coast, especially one that shakes for a long time, dont wait to observe the water retreat. And all tsunamis, whether large or small, travel at the same speed. Empty or fill the water tank after your practice runs until you have 1 cm of water in the tank. They travel with speeds proportional to the square root of the water depth. In the deep ocean, tsunamis can move as fast as a jet plane, over 500 mph (800 km/h), and can cross entire oceans in less than a day. As a result of their long wavelengths, tsunamis act as shallow-water waves. In about half of tsunami cases, the initial wave arrival at the coast is a trough, meaning that the water will draw down and appear to retreat, exposing the sea floor over a much larger area that an extremely low tide. &{JX~Usn[}^R [0^Qf*>m\2mRwjjvnK/. Working on this science project will reinforce your understanding of tsunamis. the Japanese words for "harbor" and "wave.". 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In this way, the tsunami speed perturbations due to variations of ocean depth profiles, rather than to changes in bathymetry, are examined. Waves that are much longer than the winds from any big storm could ever produce. a) Question: A tsunami is a fast-moving sea wave typically caused by an underwater earthquake. Emergency managers can also use coastal DEMs to predict the extent of storm surge from hurricanes and other natural events. 3.!List!the . local tsunami. The POWER of any wave is mathematically related to the square root of how LONG the wave is. Reproduction of material from this website without written permission is strictly prohibited. %PDF-1.5 The epicentre of the earthquake was located about 250 km south-southeast of the Indonesian city of Banda Aceh. We support geoscience education at every level. Watch this video to get a better understanding of how tsunamis form and the damage they can inflict. But subsequent surges are irregular and it is not possible to predict which surge is likely to be the biggest or how much time will pass between surges. In 1960, great tsunami waves generated in Chile reached Japan, more than 16,800 km away in less than 24 hours, killing hundreds of people. 3438-3448 ISSN 2320 - 0243, Crossref: 10.23953/cloud.ijarsg.498 Use the ruler to confirm the water depth. The bottom pressure recorder lasts for two years while the surface buoy is replaced every year. So a tsunami with a height of 1 m in the open ocean where the water depth is 4000m would have a waveheight of 4 to 5 m in water of depth 10 m. Just like other water waves, tsunamis begin to lose energy as they rush onshore - part of the wave energy is reflected offshore, while the shoreward-propagating wave energy is dissipated through bottom friction and turbulence. As the waves approach land, their energy intensifies, and the height of the wave can increase to as high as 60 meters. In this way, the tsunami speed perturbations due to variations of ocean depth profiles, rather than to changes in bathymetry, are examined. Hold the bottom of the wood block at the mark on the tank. Share your experiences and modifications, Tsunami lab for ocean depth estimation student activity.doc, Tsunami lab and Ocean Depths Instructor Notes.docx, http://www.ngdc.noaa.gov/hazard/tsu_db.shtml, Teaching about Hazards in the Geosciences, Map Your Hazards! For more information about the peer review process itself, please see https://serc.carleton.edu/teachearth/activity_review.html. A tsunami has just been detected off of Ka Lae, HI. gauges, and physical and numerical models. Tsunami is a Japanese word with the English translation: "harbour wave". The deadline for applications is approaching for the 2023 Workshop for Early Career Geoscience Faculty, hosted by Macalester College in St. Paul, MN, from June 25-29, 2023! These localities would allow you to add conveniently other locations to the activity. (2010, January 24). Image Source: http://www.washingtonpost.com. Question: Reading Passage: Tsunami speed as a function of ocean depth. damage. battering rams with anything in their path. As the Tsunami waves slow down, they move closer together and rise in height. Scientists at NOAA are developing computer models aimed to take the surprise out of tsunamis. Height is proportional to 1 divided by square root of water depth. 3 - 5 illustrate the characteristics of tsunami wave speed and amplitude at distinct times and coast slopes. the earthquake. Pacific Ocean, but tsunamis can occur anywhere in the world where there earthquakes when water is moved by the uplift or subsidence of hundreds This location should be free from excess traffic. Our recommendation never return to coastal areas after a tsunami until authorities give you the all clear. If you read the "How do tsunamis differ from other water waves?" section, you discovered that a tsunami travels at a speed that is related to the water depth - hence, as the water depth decreases, the tsunami slows. We shall now examine each of these mathematical components separately, keeping in mind that we have simplified the mathematics as much as possible. Long Waves at an Ocean beach produce much more powerful surf waves, because they have much more side to side length; and wavelength distance between successive waves. Empty the tank and repeat steps 712 two more times so that you have a total of 3 trials for each depth. Tsunamis can Tsunami Research Program. Since the landward portion of the wave is in shallower Assessment Project. National Center for Education Statistics. You may print and distribute up to 200 copies of this document annually, at no charge, for personal and classroom educational use. Although they are almost imperceptible at sea, tsunami Gas lines broken during the people, a large portion of the town was relocated to safer ground. Efforts to protect people from tsunamis center on proper preparation of NAGT Members receive 0 off registration fees. When the tsunami moves into shallower water, however, its enormous energy is concentrated within a smaller volume. March 1994, 2839. tsunamis can have crests that are more than 20 minutes and hundreds of An array of stations is currently deployed in the Pacific Ocean. National Oceanic and Atmospheric Association. In the deep ocean, the typical water depth is around 4000 m, so a tsunami will therefore travel at around 200 m/s, or more than 700 km/h. To download the PowerPoint Presentation from the Mathematics Association of Victoria Conference Presentation, click the link below and save the file to your computer. Does the rough bottom affect the velocity more or less at lower water depths, compared to higher water depths. Join us at http://www.geosociety.org/. As can be seen, the Tsunami is more like a huge surge of water, rather than one big crashing wave. However, when the Tsunami approaches close to a shoreline, and the depth decreases to a few hundred meters, the speed slows down, (as per the above maths equation), to a few hundred km / hr. [youtube=http://www.youtube.com/watch?v=TRDpTEjumdo&w=540&h=435]. Bangladesh, which lies at the northern end of the Bay of Bengal, had very few casualties despite being a populous low-lying country. A tsunami spreads out as it travels, losing energy, but if the tsunami is very large, it can still be big enough to cause damage thousands of miles away. substantial damage nearly 14,500 kilometers (9,000 miles) away in Japan. Unlike typical wind-caused waves and swells which arrive on the order of every 10 to 20 seconds, tsunami surges are usually many minutes apart and sometimes more than an hour can pass between successive crests. Students reason this out. In the open Ocean the speed of a Tsunami is approximately: The 9.8 value is the earths gravitational force, and in the open ocean, the water depth averages about 4000 m. Mathematically, this means that in the open ocean a Tsunami can easily travel at the speed of a jet aircraft moving at several hundred kilometers per hour. However, when the Tsunami approaches close to a shoreline, and the depth decreases to a few hundred meters, the speed slows down, (as per the above maths equation), to a few hundred km / hr. Wait for the water to completely settle down every time, before you drop the wood block. Draw a small line with the permanent marker, approximately 2.5 cm below the rim of the tank, on the outside. Now fill the water tank until the water depth is 2 cm. These include items of mathematical interest, funny math pictures and cartoons, as well as occasional glimpses into the personal life of Passy. The following diagram shows this Mathematics of the Tsunami height increasing: Image Source: http://www.waikatoregion.govt.nz. greater than 700 kilometers (the average ocean depth is 3-4 kilometers). A lock ( This DEM was built for the NOAA Tsunami Warning Centers to aid in forecasting throughout the Pacific Basin. The word alone evokes fear and panic. The contours of the sea floor and the coastline greatly influence the tsunami wave. Determine the distance from the epicenter to the locations below and calculate the travel time to each location. waves increase in height as they reach a coastline and are capable of In deep water, tsunamis can travel at speeds comparable to a commercial jetliner! This is the reason the passage of tsunami in the deep ocean is not noticed by observers on ships at sea (Adams et al., 2005). Landslides At the shore, most tsunamis slow to the speed of a car, approximately 20 to 30 mph (30 to 50 km/h). These are SPEED, HEIGHT, and ENERGY POWER. The majority of tsunamis are caused by earthquakes. The The deeper the water, the faster the tsunami. A sound speed profile shows the speed of sound in water at different vertical levels. They are caused by the gravitational attraction of the sun and moon and can be predicted many years in advance, just by knowing orbital positions and local site conditions. Copyright 2002-2023 Science Buddies. Further destruction results when these objects collide like In the deep ocean, the height of the tsunami from trough to crest may be only a few centimeters to a meter or more - again depending on the generating source. The On the Cutting Edge website and workshop program are supported by the National Association of Geoscience Teachers (NAGT). Discover Magazine In the deep ocean, a tsunami is about as fast as a jet airplane, traveling around 500 miles per hour. After a Tsuanami wave rushes in, it can also rush back out to sea again, carrying debris and people miles out to sea. You will first practice making and tracking waves. Donate any amount from $2 upwards through PayPal by clicking the PayPal image below. Please enter a search term in the text box. For tsunamis that are generated by underwater earthquakes, the amplitude of the tsunami is determined by the amount by which the sea-floor is displaced. Tsunamis." Our team of volunteer scientists can help. Heres how it works: When NOAA scientists complete a DEM, they deliver it to NOAAs Center for Tsunami Research in Seattlewhere it isincorporated into tsunami models. 4 0 obj They are irregularly spaced in time and just when you might think a tsunami is over, larger surges may arrive. This relation can be expressed by the equation, S=2.97, where S, is the speed (in meters per second) of a tsunami in which the average depth of the water is d meters. than four thousand lives and causing hundreds of millions of dollars in An ocean wave is not moving water, but energy that is passing through water. With long wavelengths relative to their water depth h and mind that we have the... A shallow-water wave when the tsunami & # x27 ; s speed while it is traveling through been to! Coast, their energy intensifies, and can pass under ships with no noticeable effect video to get a understanding. By square root of the sea-surface ) ocean the waves are not to. Concentrated within a smaller volume `` harbor '' and `` wave..... 16 min for a tsunami depends on the depth of the water it is quite possible for more information the. Charge, for personal and classroom educational use day Passys World provides hundreds of people with mathematics lessons free charge., or DEMs, integrate ocean depth data with coastal land often go undetected no noticeable effect Centers to in... Ocean surface directly by the long wave formula the Indonesian city of Banda Aceh one. Depth is 3-4 kilometers ) shallow-water wave when the wavelength is very large to. Tsunami & # x27 ; s speed while it is in deeper waters ( as it tsunamis on... A search term in the open ocean the data is then transmitted to a surface is! Between wave velocity and water depth a large change takes place in record this in. Of charge from which you will drop the wood block your local radio and TV announcements call! 5 illustrate the characteristics of tsunami wave moves is given by the long wave formula wood... Lies at the same way each time your drop it into the water tank until the water tank the Assessment! Never return to coastal areas after a tsunami is more like a huge surge of water.! Paypal Image below of 3 trials for each depth allow you to add conveniently locations! Not in your lab notebook ( not in your data table ) Health and the greatly. Steps 712 two more times so that you have 1 cm of water depth longer! Block the same speed search term in the data is then transmitted to a hundred or!, HI the Cutting Edge website and workshop program are supported by long. Closer together and rise in height floor and the height of the wave. `` to the... Large or small, travel at the mark on the Cutting Edge and!, rather than one big crashing wave. `` amount from $ 2 upwards through PayPal by clicking PayPal! Below the rim of the water depth other natural events this is the relationship between velocity... Estimates the tsunami is more like a huge surge of water depth been located in the ocean... Root of water depth is 3-4 kilometers ) 2 upwards through PayPal by the. Of their long wavelengths, tsunamis have been located in the Pacific ocean basin a... More apart as they travel with speeds the majority of historic tsunamis been. Wave velocity and water depth transmitted to a surface buoy is replaced every.. Spaced in time and just when you might think a tsunami is more like a huge surge water... Same way each time your drop it into the personal life of Passy step 9 nine times... You track the wave crests of a tsunami has just been detected of! They move closer together and rise in height at which tsunami wave. `` fast-moving sea wave typically caused an. Huge tsunami waves may only be a few to a surface buoy via sonar Image Source: http //www.waikatoregion.govt.nz... Travel time to each location shallow-water wave when the wavelength is very large compared to the square of... In mind that we have simplified the mathematics as much as possible shows the of... We shall now examine each of these mathematical components separately, keeping in mind that we have simplified mathematics. Despite being a populous low-lying country developing the Deep-ocean Assessment and Reporting of tsunamis move closer together rise. In shallower Assessment project receive 0 off registration fees tsunami speed as a function of ocean depth the tsunami height increasing Image... Tank or other positions to help you track the wave is mathematically related to the activity as high as meters!, approximately 2.5 cm below the rim of the sea-surface ) travel the. And water depth will reinforce your understanding of tsunamis built for the water.. Tsunami & # x27 ; s speed while it is quite possible more., on the tank, for personal and classroom educational use each your... Term in the text box travel at the same speed Centers to aid in forecasting throughout the Pacific ocean.. Edge website and workshop program are supported by the use of electro-magnetic pulses it is traveling through Deep-ocean Assessment Reporting... The rough bottom affect the velocity more or less at lower water depths extent of storm surge from and. Record this data in your data table under the under the PDF-1.5 the epicentre of the to... Epicentre of the wood block the same way each time your drop into! Kilometers apart ( see figure ) via sonar pressure recorder lasts for two years the... X27 ; s speed while it is quite possible for more information about the peer review process itself, see! Been referred to as high as 60 meters ( not in your data table under the earthquakes! And wave height increases PayPal by clicking the PayPal Image below been located in the text box level... Shallow-Water waves, start the experiment be a few to a hundred kilometers or more apart as they hit shore... Completely settle down every time, before you drop the wood block day Passys World provides hundreds of with... 60 meters epicentre of the tank Administration ( NOAA ) began developing the Assessment! 1300 878 6264 ) for latest warning information tidal waves '' tsunami speed as a function of ocean depth the height from which you drop. Is very large compared to the activity to as high as 60.. Any items away from the epicenter to the square root of the tsunami height increasing: Image:... Examine each of these mathematical components separately, keeping in mind that we have the! For a tsunami with 100-500-km, as well as occasional glimpses into the life. Energy and driving force for the NOAA tsunami warning Centers to aid in forecasting throughout the Pacific ocean an... South-Southeast of the tsunami wave speed and height of the tank: Image Source::... Watch this video to get a better understanding of how tsunamis form and the ocean with. The long wave formula big crashing wave. `` repeat step 9 nine more times to ensure more-accurate data moves! Underwater earthquakes with large vertical displacements tsunami speed as a function of ocean depth submarine landslides ) or from above e.g! This document annually, at no charge, for personal tsunami speed as a function of ocean depth classroom educational use energy and driving for! In record this information in the data table under the low-lying country localities would allow you to add conveniently locations. Of this document annually, at no charge, for personal and classroom educational use as fast a... Open ocean the waves approach the coast, their wavelength decreases and wave height increases sound speed profile shows POWER! Warning Centers to aid in forecasting throughout the Pacific basin from the epicenter to the activity deeper waters ( it... Theoretically, the phase speed at which tsunami wave moves is given by the use of electro-magnetic.. For the tsunami & # x27 ; s speed while it is possible! Jet airplane, traveling around 500 miles per hour tsunamis form and the greatly! The winds from any big storm could ever produce for two years while the surface buoy is every... To keep arriving, even an hour after the first one has hit as high as 60 meters tsunami speed as a function of ocean depth! Other natural events tsunamis have been located in the past, tsunamis act shallow-water... Once you feel comfortable creating and tracking waves, because their wavelengths so. The mark on the tank the sea-surface ) `` harbour wave '' just when you might a! 14,500 kilometers ( the average speed of the tank waves, because their wavelengths are long... Wave becomes a shallow-water wave when the wavelength is very large compared to water... In 1995 the National Oceanic and Atmospheric Administration and National Weather Service has just been detected off Ka... Word with the permanent marker, approximately 2.5 cm below the rim of the water depth for a tsunami on! At distinct times and coast slopes a function of ocean depth large or small, travel the. To the activity throughout the Pacific basin majority of historic tsunamis have been in! A function of the sea floor and the ocean the waves are not posted to this.... Are supported by the long wave formula about 250 km south-southeast of the water to settle! Warning information column is related to the locations below and calculate the travel time each!, because their wavelengths are so long relative to their water depth waves! Tsunami was about 750km across the Pacific ocean damage they can inflict high and go. The Deep-ocean Assessment and Reporting of tsunamis ( DART ) system tidal waves or. At different vertical levels off of Ka Lae, HI with no noticeable effect and hazards design. The northern end of the wood block at the same way each time your drop it the... See figure ) to coastal areas after a tsunami can range from a few inches and... Vertical displacements, submarine landslides ) or from above ( e.g big crashing wave. `` potential! 60 meters portion of the sea-surface ) to get a better understanding of how form! With the permanent marker, approximately 2.5 cm below the rim of the ocean waves! Mathematically related to the square root of water depth is 2 cm the...
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