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) Is an object moving in a circle with constant speed accelerating?
(b) What is the acceleration of the moon around earth if the period of the moon's path around earth is
27(1/3) days, and the distance of the moon from the earth is 240,000 miles?
(a) S7P5A51 (Linear Motion).
(a) The Pj Problem of Interest (PPI) is of type change. Problems of speed, velocity, acceleration and duration are change problems.
Newton's first law of motion states that an object remains at rest if it is at rest or it moves with constant speed in linear motion if it is in motion, unless a force acts on it to change its state.
Newton's second law of motion indicates that the force that changes the linear motion of an object is equal to the product of its mass and acceleration
So, an object in circular motion does accelerate. This acceleration is called cetripetal acceleration and is given by:
v2/r (where v is the constant speed and r is the radius of the circular path).
(b) Distance of earth to moon 240,000 miles = 240,000 x 5280 = 1.27 x 109 ft.
Circumference of moon's path = 2πr = 2π(240,000 x 5280) = 2π(1.27 x 109) ft
Time it takes moon to complete one revolution around earth
= 27(1/3) days = (27.33 x 24 x 3600) = 2.36 x 106 secs
So, moon's speed around the earth, v = [2π(1.27 x 109)]/(2.36 x 106)
approximately = 3.30 x 103 ft/sec
So, acceleration of moon around earth:
= (10.89 x 106)/(1.27 x 109) = 8.6 x 10-3 = 0.0086 ft/sec2 approximately.
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