Orthogonal coordinate systems | Three-dimensional coordinate systems
Oblate spheroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate system about the non-focal axis of the ellipse, i.e., the symmetry axis that separates the foci. Thus, the two foci are transformed into a ring of radius in the x-y plane. (Rotation about the other axis produces prolate spheroidal coordinates.) Oblate spheroidal coordinates can also be considered as a limiting case of ellipsoidal coordinates in which the two largest semi-axes are equal in length. Oblate spheroidal coordinates are often useful in solving partial differential equations when the boundary conditions are defined on an oblate spheroid or a hyperboloid of revolution. For example, they played an important role in the calculation of the Perrin friction factors, which contributed to the awarding of the 1926 Nobel Prize in Physics to Jean Baptiste Perrin. These friction factors determine the rotational diffusion of molecules, which affects the feasibility of many techniques such as protein NMR and from which the hydrodynamic volume and shape of molecules can be inferred. Oblate spheroidal coordinates are also useful in problems of electromagnetism (e.g., dielectric constant of charged oblate molecules), acoustics (e.g., scattering of sound through a circular hole), fluid dynamics (e.g., the flow of water through a firehose nozzle) and the diffusion of materials and heat (e.g., cooling of a red-hot coin in a water bath) (Wikipedia).
π Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl
From playlist Types of Triangles and Their Properties
Introduction to Cylindrical Coordinates
This video introduces cylindrical coordinates and shows how to convert between cylindrical coordinates and rectangular coordinates. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
Determining obtuse vertical angles
π Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
From playlist Angle Relationships From a Figure
Ex: Identifying the Coordinates of Points on the Coordinate Plane
This video explains how to determine the coordinates of points on the coordinate plane. Complete Video List at http://www.mathispower4u.com Search by Topic at http://www.mathispower4u.wordpress.com
From playlist The Coordinate Plane, Plotting Points, and Solutions to Linear Equations in Two Variables
What is an equilateral triangle
π Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl
From playlist Types of Triangles and Their Properties
The dynamics of sedimenting anisotropic particles inturbulence by Prateek Anand
DISCUSSION MEETING FLUIDS DAY ORGANIZERS: Rama Govindarajan, Samriddhi Sankar Ray and Gaurav Tomar DATE : 20 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The fluid mechanics community in Bangalore has expanded enormously with different physics and engineering departments
From playlist Fluids Day 2020
The Orientation Dynamics of Sedimenting Anisotropic Particles in a Stratified by Ganesh Subramanian
DISCUSSION MEETING WAVES, INSTABILITIES AND MIXING IN ROTATING AND STRATIFIED FLOWS (ONLINE) ORGANIZERS: Thierry Dauxois (CNRS & ENS de Lyon, France), Sylvain Joubaud (ENS de Lyon, France), Manikandan Mathur (IIT Madras, India), Philippe Odier (ENS de Lyon, France) and Anubhab Roy (IIT M
From playlist Waves, Instabilities and Mixing in Rotating and Stratified Flows (ONLINE)
Orientation dynamics of a neutrally-buoyant spheroid of arbitrary... by Deepak Madival
DISCUSSION MEETING FLUIDS DAY ORGANIZERS: Rama Govindarajan, Samriddhi Sankar Ray and Gaurav Tomar DATE : 20 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The fluid mechanics community in Bangalore has expanded enormously with different physics and engineering departments
From playlist Fluids Day 2020
Tektites - why some rocks are dumbbell shaped
The first 500 people to use this link will get 2 free months of Skillshare Premium Membership: https://skl.sh/stevemould7 Tektites form in mid air after a meteorite strike. They're made of glass and the ones that cool down while spinning form dumbbell shapes. Image credit: https://common
From playlist Everything in chronological order
Is the Earth Really Round? | My Amazing Earth | BBC Earth Lab
Is the Earth Round? | My Amazing Earth | Earth Lab The Earth ISN'T round...but it isn't flat, it's more of an oblate spheroid. If you don't what that means it's basically the shape of a rugby ball. π Best of Earth Lab: http://bit.ly/EarthLabOriginals Best of BBC Earth: http://bit.ly/The
From playlist My Amazing Earth
Identify the type of angle from a figure acute, right, obtuse, straight ex 1
π Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
From playlist Angle Relationships
Introduction to Cylindrical Coordinates
Introduction to Cylindrical Coordinates Definition of a cylindrical coordinate and all of the formulas used to convert from cylindrical to rectangular and from rectangular to cylindrical. Examples are also given.
From playlist Calculus 3
Introduction to Spherical Coordinates
This video defines spherical coordinates and explains how to convert between spherical and rectangular coordinates. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
Have you ever noticed that everything in space is a sphere? The Sun, the Earth, the Moon and the other planets and their moons... all spheres. Except for the stuff which isn't spheres. What's going on?
From playlist Guide to Space
Sphere Earth Conspiracy - Geodesy
Don't let anyone try to convince you that the earth is a sphere! It's actually closer to an ellipsoid. How does your airline pilot know which direction to head when heβs over the ocean with no landmarks? How do we know the exact boundaries between parcels of land and between states and cou
From playlist Civil Engineering
Calculus 2: Polar Coordinates (1 of 38) What are Polar Coordinates?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are polar coordinates and Cartesian coordinates. The Cartesian coordinates use x and y to locate a point on a plane, and the polar coordinates use r and theta to locate a point on a plane
From playlist THE "WHAT IS" PLAYLIST
Interesting Facts About Saturn
In this short video explainer, Universe Today publisher Fraser Cain shines the spotlight on Saturn. Here are some interesting facts that you might not know about the ringed planet. ------------------- The planet Saturn is my favorite object in the night sky, no question. When I bought
From playlist Planets and Moons
What If The Earth Stopped Turning?
Previously, I've talked about how quickly the Earth is rotating, and I've talked about why it's spinning. But what would happen if the Earth suddenly stopped rotating? Keep in mind, this is totally impossible. Still, I find topics like this super interesting to think about. If the E
From playlist Earth
(November 5, 2012) Leonard Susskind continues the discussion of black holes in depth using coordinate transformations and diagrams to develop an intuitive understanding of black hole physics. This series is the fourth installment of a six-quarter series that explore the foundations of mod
From playlist Lecture Collection | General Relativity
What is an equiangular triangle
π Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl
From playlist Types of Triangles and Their Properties