This engineering resource, produced by Mathematics in Education and Industry (MEI) for the Royal Academy of Engineering, asks the question: how can a camera, mounted on a helicopter, be used to track the location of a ground-based object? A number of discussion ideas are considered before using 2D and 3D...

This resource from Mathematics for Engineering Exemplars shows the application of mathematics in mechanical engineering and construction machinery. Here 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 350mph...

This problem features a coil of tinplate being stored on a mandrel. In the first problem, students are presented with the diameter of the mandrel, the height from the floor, the width of the coil and the density of the steel. The problem is to calculate the maximum coil weight. A worked solution is included with...

This resource, from Mathematics for Engineering Exemplars, shows how to build a mathematical model of liquid draining through a tank and how to use the model to determine the time required for a tank to completely drain. Bernoulli’s conservation of energy equation, which requires integration and differentiation, is...

Drinks cans are made by stamping out circular discs from a sheet of tin. Given the dimensions of the sheet of tin and the diameter of the circle stamped out, students are required to calculate the wastage and to investigate whether there is a more efficient method. The problem requires students to be able to...

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...

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...

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...

This engineering resource, produced by Mathematics in Education and Industry (MEI) for the Royal Academy of Engineering, asks the question: how can you calculate the energy used, or made available, when the volume of a gas is changed? A bicycle pump, a refrigerator and the internal combustion engine change the...

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within public health engineering to supply clean water in a rural mountain area. Here students learn about the formulae used to calculate the optimum size of pipes which will ensure good pressure of water throughout the...

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...

This engineering resource, produced by Mathematic in Education and Industry (MEI) for the Royal Academy of Engineering, asks the question: how can you predict future power requirements? Students are required to complete a table by substituting values into a formula and plot a graph. The activity offers good...

Protecting Your Head, from the Centre for Science Education, is a set of teaching materials which offer a cross-curricular approach to learning about engineering. The context for the activities is the design of head protection for snowboarders where the risk of injury...

This activity booklet uses the real life context of air traffic control using radar signals to identify the position of an aeroplane that students act out. It provides them with an opportunity to use their knowledge of waves and speed = distance / time to calibrate and calculate the distance a plane is from the...