There are two interactive files to accompany the tasks. The first practises using the scalar product, the second graphs the distance from a fixed point to a helicopter moving in a straight line. This resource shows the application of mathematics in mechanical engineering and construction machinery. Students encounter the formulae used to calculate the power of the engine which was used to power the JCB Dieselmax LSR car to a world land speed record of mph in August Detailed notes and examples are provided, together with learning outcomes and assessment criteria.
These resources cover aspects of functions and graphs often used in the field of engineering. They include descriptions of the hyperbolic function and identities, the logarithm function and its graph as well as the graphs of the trigonometric functions. Comprehensive notes, with clear descriptions, for each resource are provided, together with relevant diagrams and examples. Students wishing to review, and consolidate, their knowledge and understanding of functions and graphs will find them useful, as each topic includes a selection of questions to be completed, for which answers are provided.
One important area of civil engineering is electrical power production. In order to plan for future building, which may take many years to prepare, design and construct, demand forecasts are often used to indicate the quantity and size of new power stations required.
Students are asked: "How can you predict future power requirements? The interactive file can be used to demonstrate some of the important aspects of growth and decline. The activity offers good opportunities to consolidate work on geometric progression. In this set of teaching materials students are required to build and modify a model F1 car.
The challenge involves the construction and testing of a scale model F1 car powered by compressed gas. Teachers' notes and the starter activity are included. Note that the web address for the F1 challenge is www. Video clips that might be used in the starter activity are available from this website.
In the starter activity students have to decide whether their design is built for speed or acceleration. Students are required to consider friction, mass, and streamlining to help in the construction of an effective vehicle.
Calculus is used by engineers to determine rates of change or rates by which factors, such as acceleration or weight, change. It might tell NASA scientists at what point the change in a satellite's orbit will cause the satellite to strike an object in space. A more mundane task for calculus might be determining how large a box must be to accommodate a specific number of things. An engineer who designs packaging, for example, might know that a product of a certain weight must be packaged in groups of no more than 10 because of their weight.
Using calculus, he can calculate both the optimum number of objects per box, plus the optimum size of the box. Will Charpentier is a writer who specializes in boating and maritime subjects.
A retired ship captain, Charpentier holds a doctorate in applied ocean science and engineering. He is also a certified marine technician and the author of a popular text on writing local history. Work Careers Engineering Jobs. By Will Charpentier Updated June 29, A civil engineer uses nearly every form of math at one point in time to do her job. Algebra is used on a daily basis, and many engineers will have to deal with differential equations, statistics, and calculus occasionally.
A good portion of a civil engineer's time is not spent doing math, but when the time comes civil engineers have to be very comfortable with all the forms of math, especially those that deal with physics. Civil engineers have to use math equations that are derived from chemistry on a daily basis. Chemistry's equations are used to measure the strength of materials, and engineers must use these equations to select the right material for a project.
Civil engineers use trigonometry often when surveying a structure. Surveying deals with land elevations as well as the various angles of structures. Physics equations are applied to all angles of an engineering problem to make sure the structure being created is going to function the way it must. When a bridge is being designed, physics is used to figure out how large the supporting piers should be, as well as how thick the steel columns of bridge need to be, and how many of them should be installed.
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