Grade 12 · Week 12 · Thursday

An Engineering Design Investigation

Objective: Compare modeled design options under simultaneous energy, output and time constraints.

45–60 minutes · Offline learning · Local evidence

Scientific reading

Engineering means meeting a defined requirement

A proposed energy-conversion device must provide a minimum useful output within a deadline while respecting an input-energy budget. These requirements involve three separate quantities: E_useful, elapsed time and E_input. Feasibility cannot be determined by efficiency alone, and a fast but wasteful device can be unacceptable under an energy-budget constraint.

Three numerical constraints

Consider a class design brief: no more than 500 J of input, at least 300 J of useful output, and at most 6 seconds elapsed. A design with E_in=400 J, η=75% and t=5 s meets all three requirements, because E_useful=300 J. A design with 400 J, η=60%, 5 s fails useful output, despite using the same input and time.

Power–efficiency trade-offs

A device can achieve greater useful power by reducing the time or increasing useful energy. Its efficiency improves only if the useful fraction of input rises. Other design criteria—reliability, lifetime, accessibility, environment, cost and safety—remain outside this small energy-only optimization. The lab is a numerical design challenge, not an invitation to wire a motor or test appliances.

Make reproducible evidence

State the constraints and a hypothesis. Hold two variables fixed while changing one, then record three comparable runs. Export your notebook or use CSV samples. Explain why a design passes or fails and name a missing engineering constraint that the model cannot assess.

Key vocabulary

design constraint
A quantified condition a design must meet.
performance criterion
Measure of desired function, such as useful energy delivered.
trade-off
Choice improving one objective while affecting another.
feasibility
Whether all named constraints are satisfied simultaneously.
controlled variable
Parameter held fixed so one change can be interpreted.

Worked physics example

Budget E_in≤500 J; minimum E_useful≥300 J; deadline t≤6 s. Candidate A (400 J, 75%, 5 s) passes. Candidate B (400 J, 60%, 5 s) fails because only 240 J is useful.

Show the system, time interval, conversion, numerical substitutions and units.

Student investigation notebook

Record three designs with different η, input energy or time. Identify which meet all three constraints, then justify your recommendation with a complete energy ledger.

Browser-local notes only. Export a portable JSON copy.

Daily Retrieval · Four Questions

Open-book practice with explanations and an 80% correction target. Formal confidential midterms and finals are separate supervised processes.