Pj Problems - Overview
The Number Line
7 Spaces Of Interest - Overview
Triadic Unit Mesh
States Of Matter
COHN - Natures Engineering Of The Human Body
The Human-Body Systems
Faith, Love, Charity
(a) One pushes the brake pedal in a car with a hydraulic brake system and the car comes to a halt. How does figure 123.1 explain this observation?
(b) Name other scenarios where one observes Pascal's Principle in action.
S7P3A32 (Force - Push).
Pj Problem of Interest is of type force (push). Pressure is force per unit area.
(a) Figure 123.1 illustrates Pascal's Principle which states that pressure applied to an enclosed liquid of any shape is transmitted evenly throughout.
Where pressure = Force/Area.
So the pressure exerted in the liquid in section A1 = F1/A1
So, F1/A1 = F2/A2. Since pressure is evenly transmitted.
So F2 = F1(A2/A1).
So F2 can be multiplied by manipulating the ratio (A2/A1).
In the case of hydraulic brakes, the brake pedal is connected to a piston smaller that the piston to which the brake pads are connected. The force from the push on the brake pedal is transmitted in a brake fluid to the larger piston connected to the brake pads. The increased force at the brake pad slows the tires down.
(b) Pascal's Principle is in action wherever hydraulic devices are in use. hydraulic chairs in barbers' shops, auto lifts, rescue ladders are some common examples of hydraulic devices.
Some living organisms such as the sea anemone and earthworm have natural hydraulic devices. The goal is always to multiply force.
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
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
Derivation Of Heat Equation For A One-Dimensional Heat Flow
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.
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