Trigonometry questions and answers.
Project 3 Trigonometry By David Timan For Mr. Orr's grade 11 U Math Class January 6, 2003 . Find the length of the missing side in (WXY to one decimal place. Cosine law: c2 = a2 + b2 - 2ab cos C c = a2 + b2 - 2ab cos C c = 212 + 242 - 2(21)24 cos 40° c = 441 + 576 - 1008 (0.766044) c = 441 + 576 - 772.173 c = 244.827 c = 15.647 ( The missing side is 15.6 cm long. 2. Find (F to one decimal place. Cosine law: c2 = a2 + b2 - 2ab cos C 282 = 322 + 302 - 2(32)30 cos C 784 = 1024 + 900 - 1920 cos C 920 cos C = 1024 + 900 - 784 920 cos C = 1140 cos C = 1140 / 1920 C = cos-1 .593750 C = 53.6° ( (F is 53.6°. 3. In (ABC, a = 63cm, c = 47cm, and (C = 38.4°. Find (A given that (ABC is acute. Sine law: (sin A) / a = (sin C) / c (sin A) / 63 = (sin 38.4) / 47 (sin A) / 63 = (.621148 / 47) sin A= (.621148 / 47) * 63 sin A= .832603 A = sin-1 .832603 A = 56.4° ( (A is 56.4°. 4. A bridge DF is built N4°W across a river. Point E is located 75 m [west of]1 F and (DEF = 46°. What is the length of the bridge? DF is divergent of North by 4°, hence it is also divergent of West 86°. The interior angle of a triangle add up to 180° therefore 180 - 86 - 46 = 48, so (D is 48°. Sine Law: (sin A) / a = (sin C) / c (sin 48) / 75 = (sin 46) / c .743144 / 75 = .719339 / c c * .743144 / 75 = .719339 c = .719339 * 75 / .743144 c
Am going to test the following insulators:- No Insulation Felt Cotton Bubble Wrap Cardboard
Testing insulators Aim: My aim is to investigate and record the change in temperature when I change the insulator on a copper can for the duration of 10 minutes at one minute intervals. I will be investigating which insulator is best this will be decided by which insulator has the highest temperature at the end of the experiment. Conduction Heat energy can be transferred from one substance to another when they are in direct contact. The moving molecules of one material can increase the energy of the molecules of the other. The heat can also travel through a material as one molecule transfers energy to another one. This type of heat transfer is called conduction. Conduction is mainly seen with solid objects, but it can happen when any materials come into contact, like when warm air is in contact with your skin. Some materials are better conductors of heat than others. For example, metals are good conductors of heat, while a material like wood isn't. Metal heated on one end will soon be hot on the other end too, while that is not true with a piece of wood. Good conductors of electricity are often good conductors of heat. Since the atoms are closer together, solids conduct heat better than liquids or gasses. This means that two solid materials in contact would transfer heat from one to the other better than a solid in contact with a gas or a gas with a liquid.
Charles wells brewery
Charles wells brewery course work This investigation will be into some physics aspects which occur at the Charles Wells brewery in Bedford. This brewery is the fifth largest in the UK and can hold up to 46,000 pints at one moment. The two aspects of physics I will be discussing in this piece of coursework are the x-rays used to detect how much beer there is in each can, the anti-vac valve and the pressure release valve. The x-ray is used to measure how much beer is in each can. The x-rays are simply sent through one side of the beer can and are collected on the other side which then shows how much of the x-rays have got through the can. The pressure release valve is used to release the pressure from within the tank to balance out the air pressures so that dents aren't formed on the tank. The anti-vac valve is used for the opposite, to stop the tank imploding. X-rays The reason that they choose to use x-rays to measure how much beer is in each can is that the beer in the can has the ability to partially absorb the x-rays so less get through to the other side. The way that the x-rays work is that if too much x-rays get through it shows that the can has too little beer contained within it. On the other hand if the can has just the right amount of beer within it only a few x-rays will be able to pass through. The reason that gamma rays weren't used is that the beer wouldn't
There are many ways in which scientists from all around the world discuss and finally tell the public about the results that they have produced. Three ways will be outlined in this assignment.
.4 – Scientific Communication Task 1 – How to publicise your results When a scientist finishes an experiment and analyses the results produces, they often need to communicate the results to others so that that the experiment and results re described. However this is done, it will need to be peer reviewed. This is when communications such as reports and papers are analysed by other scientists to see if the methods used are correct, if there are any errors or if there is any ideas that will conflict with the results. There are many ways in which scientists from all around the world discuss and finally tell the public about the results that they have produced. Three ways will be outlined in this assignment. One way that scientists communicate their findings is by writing up a scientific paper. Scientists do this to inform the reader about research that they have conducted clearly and to make sure that the experiment can be repeated by someone else. The usual format of a scientific report is: . Title 2. Author: The scientists that wrote the paper 3. Abstract: A summary of the aim or hypothesis, results and conclusion 4. Introduction: Other information about the field and the aim of the study 5. Materials and Methods: All resources used and how the experiment done 6. Results: Descriptions of observations with figures and data 7. Discussion: Contains a conclusion
case study on mugs
Case Study two The most suitable material to use when in production of mugs. To design a mug the most crucial part of the design is the material you choose to use. This is because the material you use will greatly affect how useful the product is. When producing a mug manufacturers need to know that it will have the main properties needed for a mug these are: * Durable * Strong * Low thermal heat conductivity (so no heat is lost) * High specific heat capacity * Malleable * Lightweight * Strong * High melting point * Aesthetically pleasing The two materials I have chosen to use for my research are polystyrene and glass as I think these are both suitable candidates. Glass Glass is known to be a non-toxic, inorganic, amorphous (meaning no definite form), brittle, transparent solid that has an irregular atomic structure. The most successful and widely used glass for cook ware that is heat resistant is known as tempered glass. Tempered glass is made up of annealing glass which is a process of slowly cooling glass to relieve internal stresses after it was formed. This will therefore toughen the glass and increase its compressive strength. Annealing glass www.americanglassresearch.com%2Fcontentmanager Tempered glass Toughened or tempered glass is glass that has been processed by controlled thermal or chemical treatments. It is a far more increased strength
Physics-energy production in Hong Kong and potential new ways of generating power.
Major sources of energy in Hong Kong In Hong Kong, electricity supplied to the household and the industry comes from six production plants. The Castle Peak Power Station, located in Tap Shek Kok in Tuen Mun, has the greatest generating capacity in Hong Kong, up to 4110 MW. The Lamma Power Station is in Lamma, as its name suggests, comes second, having a generating capacity of 3305 MW. The Black Point Power Station in Northeast New Territories is in the third place, giving out 2500 MW of power. The Penny Bay's Power Station in Sham Shui Kok on Lantau Island produces the least generating capacity, at 300 MW only. The remaining two plants are not located in Hong Kong, but in mainland China. As the four plants aforementioned are not enough to satisfy the ever-increasing energy demand of Hong Kong, one of the two companies which provide us with electricity, the CLP Holdings (the other being Hong Kong Electric Co. Ltd), obtains energy from those two external power plants in China, the first being the Guangzhou Pumped Storage Power Station in Conghua, accounting for 1200 MW of our power, while the last one, the famous Guangdong Nuclear Power Station located in Daya Bay in Shenzhen, produces a mere 984 MW. All the four power stations in Hong Kong produce energy through fossil fuels such as coal, natural gas and diesel gas. The Guangdong Nuclear Station produces energy by means
Refractometers visit report
Visit Report For my visit report I visited Aimia Foods, a company who specialise in producing soft drinks. I have chosen two pieces of equipment used by the company in the Quality Assurance / Research & Development Departments. Both are used to measure liquids. One of them is a polarimeter used to detect faults in essential oils and other solutions, the other is a refractometer, used to calculate the concentration of dissolved substances in water. The polarimeter is mainly used to check the quality and integrity of expensive essential oils such as lemon oil, used in the flavouring of soft drinks. It would be used on in-coming raw materials. The refractometer is much more widely used in the day-to-day measuring of syrup brix, a key quality attribute of all soft drinks. Polarimeter Polarization PHYSICS restrict vibration of light: to cause light to vibrate within particular planes, or vibrate in this way [Oxford dictionary of English] A polarimeter is a piece of equipment used in the food industry to measure the optical rotation of solutions. In this case to check for contamination/purity of essential oils, but also mixed sugar concentrations. Different solutions exhibit characteristic polarisation angles and can only pass through in two planes - 90o to one another. Light is made up of Electro-magnetic waves of many different waveforms (incoherent). When directed
To investigate the rate of cooling in three different types of cups
Problem The problem for this experiment is to investigate the rate of cooling in three different types of cups. They will be used as typical coffee cups for commercial purposes. The cups a polystyrene cup, a paper cup and a plastic cup. Water has a high specific heat capacity. This makes it a very useful material for storing and carrying heat energy. Its heat capacity is 4200 joules per kilogram per °C (4200J/kg °C). This is how water compares with other material: [image002.gif] Calculating heat energy: For water: 4200 J heats 1 kg through 1 °C 8400 J heats 2 kg through 1 °C 84 000 J heats 2 kg through 10 °C You could also calculate the result using an equation heat energy = mass * specific heat * temperature gained capacity rise (J) (kg) (J/kg °C) (°C) Heat tends to flow away from a hotter object to a cooler surroundings. Heat is mainly lost I conduction, convection, radiation and evaporation. For this experiment I will be only using convection, radiation, evaporation because conduction is mainly in solids. Convection Convection mainly occurs in gasses and liquids gases and liquids are very poor conductors so convection is usually dominant process. When convection can't occur, the heat transfer by conduction is very slow. Convection only occurs when the more energetic particles move from
metals and polymers
Properties of materials: Metals and Polymers. When a metal is in its purest form it is made of ions that are held in place by metallic bonds. Covalent and ionic bonding is different to metallic as the outer shells of adjacent atoms overlap. This then lets the outer shell electrons to move about freely through the lattice in the electron cloud. diagram of an electon cloud Metals atoms have to have a positive charged nucleus and also have negative charged electrons outside. The atom will lose its outer electrons when it is in its solid state. The bonding electrons spread thought the lattice and become delocalised this is because the bonding electrons no longer belong to any particular metal atom. Delocalised means that it is not restricted to one part of the lattice. Metallic bonds are formed when positive metal ions are attracted to the negative charged electrons which lies in the electron cloud. The strength of these metaillic bonds is determined by two main factors these are: * The radius of the individual metal atoms the smaller the radius the stronger it is. * Also, the number of electrons that each of the atom donates. The more electrons donated then the stronger the bond. Metallic Bonding http://hrsbstaff.ednet.ns.ca/dawsonrj/11%20Chem/Chapter%20notes/Chapter%208%20notes_files/image001.jpg Metals that consist of metal cations and they have a balancing number of
Geophysics case study - I will explore techniques used by people (primarily archeologists), to explore the areas of ground prior to archaeological research and excavation occurring
GEOPHYSICS CASE STUDY In this Case Study, I will explore techniques used by people (primarily archeologists), to explore the areas of ground prior to archaeological research and excavation occurring; the techniques, subsequently help archaeologists determine if the site is of archaeological value, which would improve our knowledge concerning may aspects of science, including human civilization. METHODS: ) One method that is used to explore the area of ground for archeological research is ground - penetrating radar. This method entails geophysics and uses radar pulses to construct a 3D image of the sub surfaces of the designated archaeological site. The penetrative power of GPR is up to 15m within the ground, ultimately providing archaeologists with a fair understanding of the type of ground that is going to be explored and probably some data of what lies buried in the ground: The above diagram, displays the GPR's radargram; the radargram is used to show the pulse reflections of different media. In this case, the radargram has been used on a site in Alabama, USA and the hyperbolic (curve shaped) lines show reflections off media, possibly hinting at a human burial site.i 2) Another method of determining the condition of area for archaeological research is the use of a range of survey methods; different survey methods respond to different physical properties. For instance