uncleflo
Registered since September 28th, 2017
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MIT OCW - 2.972 How a Hydrofoil Works
Saved by uncleflo on February 12th, 2022.
The rquirement is to lift the boat's hull outside the water. Hydrofoil (It is a foil or wing under water used to lift the boat's hull until it is totally outside the water.) Explanation: 1. At low speeds the hull (body of ship) sits in the water and the hydrofoils are totally submerged in the water. 2. As the boat's speed increases, the hydrofoils create lift. 3. At a certain speed, the lift produced by the hydrofoils equals the sum of of the boat and cargo weights. Therefore the hull comes out of the water. 4. Instead of having an increase in drag with increasing speed because the hull is lifted out of the water (contrary to what happens in traditional boats due to pressure drag), the hydrofoils provide a more efficient way of cruising. Decreasing the drag contributes to the better use of the power needed for the movement of the boat.
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Project Jupyter | Home
Saved by uncleflo on February 7th, 2022.
JupyterLab is the latest web-based interactive development environment for notebooks, code, and data. Its flexible interface allows users to configure and arrange workflows in data science, scientific computing, computational journalism, and machine learning. A modular design invites extensions to expand and enrich functionality. The Jupyter Notebook is the original web application for creating and sharing computational documents. It offers a simple, streamlined, document-centric experience. Jupyter supports over 40 programming languages, including Python, R, Julia, and Scala.
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The 4 Maxwell's Equations (+ Divergence & Stokes Theorem) - YouTube
Saved by uncleflo on April 10th, 2021.
Here you will learn everything about the Maxwell’s equations just within 40 minutes - explained for BEGINNERS! First, you'll learn what the Maxwell equations are all about (applications). Then the electric and magnetic fields - that are found in the Maxwell’s equations - are explained. To fully understand the Maxwell’s equations, you will then learn the divergence integral theorem and the curl integral theorem. These two mathematical theorems combine the line integral, the surface integral, and the volume integral (including rotation and divergence of a vector field). With the acquired knowledge you will easily understand all four Maxwell equations (in vacuum). In addition to the so-called differential form, the integral form of the Maxwell’s equations is explained.
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Four laws of electromagnetism that you should know
Saved by uncleflo on July 22nd, 2019.
The operation of electric motors is governed by various laws of electricity and magnetism, including Faraday’s law of induction, Ampère’s circuital law, Lenz’ law, and the Lorentz force. The first two – Faraday’s law and Ampère’s circuital law – are included in Maxwell’s equations. Together with Lenz’ law and the Lorentz force, these principles form the basis of electromagnetism.
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The FEniCS computing platform
Saved by uncleflo on October 26th, 2018.
FEniCS is a popular open-source (LGPLv3) computing platform for solving partial differential equations (PDEs). FEniCS enables users to quickly translate scientific models into efficient finite element code. With the high-level Python and C++ interfaces to FEniCS, it is easy to get started, but FEniCS offers also powerful capabilities for more experienced programmers. FEniCS runs on a multitude of platforms ranging from laptops to high-performance clusters.
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State-space representation
Saved by uncleflo on June 23rd, 2017.
In control engineering, a state-space representation is a mathematical model of a physical system as a set of input, output and state variables related by first-order differential equations. "State space" refers to the Euclidean space in which the variables on the axes are the state variables. The state of the system can be represented as a vector within that space. To abstract from the number of inputs, outputs and states, these variables are expressed as vectors. Additionally, if the dynamical system is linear, time-invariant, and finite-dimensional, then the differential and algebraic equations may be written in matrix form. The state-space method is characterized by significant algebraization of general system theory, which makes it possible to use Kronecker vector-matrix structures. The capacity of these structures can be efficiently applied to research systems with modulation or without it. The state-space representation (also known as the "time-domain approach") provides a convenient and compact way to model and analyze systems with multiple inputs and outputs. With {\displaystyle p} p inputs and {\displaystyle q} q outputs, we would otherwise have to write down {\displaystyle q\times p} q\times p Laplace transforms to encode all the information about a system. Unlike the frequency domain approach, the use of the state-space representation is not limited to systems with linear components and zero initial conditions.
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How to Solve Simultaneous Equations With a Ti 89 | The Classroom | Synonym
Saved by uncleflo on June 13th, 2015.
From Algebra I to the SAT Math and beyond, the ability to solve simultaneous first-order (i.e. no exponents) equations can be a lifesaver. While solving for two variables (x,y) is doable, solving for three variables (x,y,z) can be very time consuming. Plus, more variables means a greater risk of careless mistakes. Luckily, the TI-89 calculator can make quick work of three-variable simultaneous equations, and this article will take you through the process step-by-step.
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Thick Walled Cylinders
Saved by uncleflo on April 4th, 2015.
These notes relate to the stresses and strains existing in thick walled cylinders when subject to internal and external pressures. The notes include the analysis of two or more cylindrical parts, assembled by press fitting or shrinking, resulting in an interference fit between the parts. The equations resulting enable estimates of the forces need to assemble and separate the parts and the maximum torque which can be transmitted by the assembly. Members of excelcalcs.com can upload a spreadsheet including all of the derived equations below at ExcelCalcs.com calculation Thick cylinders
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Solving System of Equations Using TI-89 Family, TI-92 Family and Voyage™ 200 Graphing Calculators. - Knowledge Base by Texas Instruments - US and Canada
Saved by uncleflo on February 11th, 2015.
How do I solve system of equations on a TI-89 family, TI-92 family and Voyage 200 graphing calculator? The example below will demonstrate how to use the SIMULT( function to solve system of equations on the TI-89 family, TI-92 family and Voyage 200.
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[Resources] for 2.01x
Saved by uncleflo on September 2nd, 2014.
This is a really good resource! Course given by Simona, lecturer at MIT. Several students have created resources and guides for 2.01x. This thread is intended to be a catch-all for those. If you have any resources that you think would be helpful to your fellow students, post below!
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Euler-Bernoulli Beams: Bending, Buckling, and Vibration
Saved by uncleflo on September 2nd, 2014.
Euler-Bernoulli Beams: Bending, Buckling, and Vibration. 2.002 Mechanics and Materials II Department of Mechanical Engineering MIT February 9, 2004
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Compressible Aerodynamics Calculator
Saved by uncleflo on July 16th, 2014.
This calculator is intended to provide a faster more convenient alternative to printed tables and charts (e.g. NACA Report 1135). The core of the code was written in Javascript by William Devenport at the Aerospace and Ocean Engineering Department, Virginia Tech. Five sets of relations are included; The relations themselves are taken from standard aerodynamics texts. Symbols have their usual meanings. 'Gamma' and 'rho' are substituted for the corresponding greek letters denoting the ratio of specific heats and density. Subscript 'o' is used to refer to stagnation or total conditions, superscript '*' refers to sonic conditions.
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NACA 4 digit airfoil generator (NACA 4408 AIRFOIL)
Saved by uncleflo on April 2nd, 2014.
This NACA airfoil series is controlled by 4 digits e.g. NACA 2412, which designate the camber, position of the maximum camber and thickness.
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