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Forces on Large Steam Turbine Blades

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within the mechanical and electrical engineering power industry. Here students learn how statistical models are used to set alarms which detect changes in vibration above normal values. The alarms highlight that something...
Publication date:
2010 to date

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Wind Turbine Power Calculations

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within the field of mechanical and electrical engineering in the power industry. When planning a wind farm it is important to know the expected power and energy output of each wind turbine to be able to calculate its...
Publication date:
2010 to date

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Dropped Load Assessment in Nuclear Industry

This resource, from Mathematics for Engineering Exemplars, introduces mathematical models for the risk assessment of dropped load, which are used to analyse the safety of structures within nuclear power stations. Here students learn about the formulae which engineers use to calculate the maximum dynamic stress and...
Publication date:
2010 to date

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Formula One Race Strategy

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within Formula One racing. Here students learn about the models which are used to develop race strategy, since every F1 team must decide how much fuel their cars will start each race with, and the laps on which they will...
Publication date:
2010 to date

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Number Stairs

This Subtangent investigation looks at the total of the squares inside a stair shape.Initially students investigate the relationship of the totals of a three step stair and its position on a 10 by 10 grid.Using algebra, students may discover a general rule which applies to any stair on the grid.Students can extend...
Publication date:
2000 - 2009

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Colouring Maps

This activity from Subtangent is based on the four colour theory, which is used by mapmakers. There is an interactive task which challenges students to colour a map using no more than four colours and ensuring that no two regions which share a border have the same colour. Further resources include examples of...
Publication date:
2000 - 2009

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Diagonal Differences

This Subtangent investigation looks at what happens if the numbers in opposite corners of a three by three square, placed on an eight by eight grid, are multiplied then their difference found. Using algebra, students may discover a general rule which applies to any three by three square placed on the grid. Students...
Publication date:
2000 - 2009

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Galton's Quincunx

This Subtangent investigation is based on the probability of balls, which are dropped through a triangular array of pins (a quincunx), into slots beneath. Every time a ball hits a nail it has a probability of fifty percent to fall to the left of the nail and a probability of fifty percent to fall to the right of the...
Publication date:
2000 - 2009

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Loopy Snooker

A special snooker table is the basis for this investigation from Subtangent. There are only four pockets on the table and you can only play the ball at 450 to the sides of the table. The ball begins from a given corner of the table and keeps moving until it hits a pocket. The number of bounces is recorded. Initially a...
Publication date:
2000 - 2009

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Leapfrog

The frogs in this Subtangent investigation have to be moved from one set of lily pads to another, following specific rules. This classic investigation is suitable for a wide age range of students. The number of frogs on each side can be varied, allowing further investigation and generalisations for the number of moves...
Publication date:
2000 - 2009

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