TECTechnics Classroom TECTechnics Overview
Pj Problems - Overview
Celestial Stars
The Number Line
Geometries
7 Spaces Of Interest - Overview
Triadic Unit Mesh
Creation
The Atom
Survival
Energy
Light
Heat
Sound
Music
Language
Stories
Work
States Of Matter
Buoyancy
Nuclear Reactions
Molecular Shapes
Electron Configurations
Chemical Bonds
Energy Conversion
Chemical Reactions
Electromagnetism
Continuity
Growth
Human-cells
Proteins
Nucleic Acids
COHN - Natures Engineering Of The Human Body
The Human-Body Systems
Vision
Walking
Behaviors
Sensors Sensings
Beauty
Faith, Love, Charity
Photosynthesis
Weather
Systems
Algorithms
Tools
Networks
Search
Differential Calculus
Antiderivative
Integral Calculus
Economies
Inflation
Markets
Money Supply
Painting
Nature has established many codes in the Universe (perhaps infinitely many). Birds were able to decode a critical aspect of the flight code long before the emergence of humans. Then came Daniel Bernoulli, son of John Bernoulli (1667-1748), with the Bernoulli's Principle. John Bernoulli and his elder brother Jacob Bernoulli contributed greatly to mathematics. Daniel Bernoulli and his brother Nicholas Bernoulli also contributed greatly to mathematics.
(a) What is the Bernoulli's Principle?
(b) Can one relate the principle of suction to the Bernoulli's Principle?
(c) Isaac Newtons third law established the action -reaction relationship. Identify the action and the reaction in the Bernoulli's Principle.
(d) What other scenarios does one find the Bernoulli's Principle in action?
The strings:
S7P3A32 (Force - Push).
The math:
Pj Problem of Interest is of type force (push). Pressure is force per unit area.
(a) The Bernoulli's Principle states that the pressure in a moving stream of fluid is less than the pressure in the surrounding fluid.
(b) The principle of suction is correctly explained as an evacuation scenario: air is removed from space, so pressure is decreased, so surrounding fluid moves in to equalize pressure. From the Bernoulli's Principle perspective, the suction can be explained as air stream in motion before complete evacuation.
(c) The action is the moving stream of fluid which creates a lower pressure region relative to the pressure in surrounding fluid. The reaction is the movement of fluid from the surrouding fluid at higher pressure (thrust) to the region of lower pressure in the moving stream.
(d) The Bernoulli's Principle is present wherever there is flight. It is also present in weather systems scenarios.
The point . is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.
Derivation Of The Area Of A Circle, A Sector Of A Circle And A Circular Ring
Derivation Of The Area Of A Trapezoid, A Rectangle And A Triangle
Derivation Of The Area Of An Ellipse
Derivation Of Volume Of A Cylinder
Derivation Of Volume Of A Sphere
Derivation Of Volume Of A Cone
Derivation Of Volume Of A Torus
Derivation Of Volume Of A Paraboloid
Volume Obtained By Revolving The Curve y = x2 About The X Axis
Single Variable Functions
Absolute Value Functions
Conics
Real Numbers
Vector Spaces
Equation Of The Ascent Path Of An Airplane
Calculating Capacity Of A Video Adapter Board Memory
Probability Density Functions
Boolean Algebra - Logic Functions
Ordinary Differential Equations (ODEs)
Infinite Sequences And Series
Introduction To Group Theory
Advanced Calculus - Partial Derivatives
Advanced Calculus - General Charateristics Of Partial Differential Equations
Advanced Calculus - Jacobians
Advanced Calculus - Solving PDEs By The Method Of Separation Of Variables
Advanced Calculus - Fourier Series
Advanced Calculus - Multiple Integrals
Production Schedule That Maximizes Profit Given Constraint Equation
Separation Of Variables As Solution Method For Homogeneous Heat Flow Equation
Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions
Fourier Series
Derivation Of Heat Equation For A One-Dimensional Heat Flow
Homogenizing-Non-Homogeneous-Time-Varying-IBVP-Boundary-Condition
The Universe is composed of matter and radiant energy. Matter is any kind of mass-energy that moves with velocities less than the velocity of light. Radiant energy is any kind of mass-energy that moves with the velocity of light.
Periodic Table
Composition And Structure Of Matter
How Matter Gets Composed
How Matter Gets Composed (2)
Molecular Structure Of Matter
Molecular Shapes: Bond Length, Bond Angle
Molecular Shapes: Valence Shell Electron Pair Repulsion
Molecular Shapes: Orbital Hybridization
Molecular Shapes: Sigma Bonds Pi Bonds
Molecular Shapes: Non ABn Molecules
Molecular Orbital Theory
More Pj Problem Strings