Worksheets: Difference between revisions
From charlesreid1
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* Curve design is a piecewise curve. Given a set of formulas. | * Curve design is a piecewise curve. Given a set of formulas. | ||
* Use Simpson's Rule to compute the x and y centroids of the highway shape (Figure). Assume density of materials is same and is 2400 kg/m3. | * Use Simpson's Rule to compute the x and y centroids of the highway shape (Figure). Assume density of materials is same and is 2400 kg/m3. | ||
* Use the arc length | * Use Simpson's Rule to compute the arc length of the road, and report the total length in ft. | ||
* Highway standards require a minimum lane width of 15 feet, 10 feet for side shoulder, 5 feet for inner shoulder, 3 lanes both directions | * Highway standards require a minimum lane width of 15 feet, 10 feet for side shoulder, 5 feet for inner shoulder, 3 lanes both directions. Total width of X. | ||
* Use Simpson's Rule to find the total volume of asphalt, volume of concrete required (use Pappus' Theorem to obtain the volume via V = A * length traveled) | * Use Simpson's Rule to find the total volume of asphalt, volume of concrete required (use Pappus' Theorem to obtain the volume via V = A * length traveled) | ||
Revision as of 09:34, 8 May 2016
Notes
Each of these worksheets could be tailored to a particular class.
Teaching them the pattern - you learn an abstract concept, you're confronted with a problem, you apply your new concept (together with everything you know up to this point)
Teach them the name of the game in engineering - it's not how closely you follow the rules, it's the creativity and and outside-the-box thinking you bring to the problem
The greater your diversity of tools, the more prepared you are to come up with ideas (increase raw material)
Engineering design process and engineering design thinking should be weaved into each worksheet.
Calculus Topics
Worksheets/Archimdes Dont Disturb My Circles
- area, volume, surface area
- sphere and cylinder shapes
- geometric thinking
- numerical integration
- approximating the area under a curve
- spreadsheet formulas
- Civil engineering application of Simpson's Rule to centroids
- Building a highway going through a town
- Design of highway: top X rectangle is asphalt, bottom X rectangle plus cut-out half-circle is concrete, coord system has split down middle
- Curve design is a piecewise curve. Given a set of formulas.
- Use Simpson's Rule to compute the x and y centroids of the highway shape (Figure). Assume density of materials is same and is 2400 kg/m3.
- Use Simpson's Rule to compute the arc length of the road, and report the total length in ft.
- Highway standards require a minimum lane width of 15 feet, 10 feet for side shoulder, 5 feet for inner shoulder, 3 lanes both directions. Total width of X.
- Use Simpson's Rule to find the total volume of asphalt, volume of concrete required (use Pappus' Theorem to obtain the volume via V = A * length traveled)
- electrical circuit
- Solving a differential equation
- Different right-hand sides, different time steps
Topics
Ideas for topics for worksheets:
Rockets
Motors, motor currents, motor control
insect populations - logistic equation, chemical treatment, population dynamics equations
insect motion and dynamics, work, force, energy - insect drones, batteries
droplets, slow motion, aerosols, force balances
piston cylinder systems, integrating ideal gas law
solid mechanics, rotational forces, warped CD drive, slow motion
arc length calculation
root-finding using midpoint method
studying convergence of series sum_{1}^{infty} 1/n^2 = pi^2/6
Insect drones: mass, power, force, work, distance, batteries
Feedback and control systems (1D control problems?)
Rocket propellant, P dV, casing and curing and consistency and chemistry
Apple power supply teardowns, plus high voltage, power transmission, etc.