Length scale

Orders of magnitude (length)

In physics, length scale is a particular length or distance determined with the precision of at most a few orders of magnitude. The concept of length scale is particularly important because physical phenomena of different length scales cannot affect each other and are said to decouple. The decoupling of different length scales makes it possible to have a self-consistent theory that only describes the relevant length scales for a given problem. Scientific reductionism says that the physical laws on the shortest length scales can be used to derive the effective description at larger length scales. The idea that one can derive descriptions of physics at different length scales from one another can be quantified with the renormalization group. In quantum mechanics the length scale of a given phenomenon is related to its de Broglie wavelength where is the reduced Planck's constant and is the momentum that is being probed. In relativistic mechanics time and length scales are related by the speed of light. In relativistic quantum mechanics or relativistic quantum field theory, length scales are related to momentum, time and energy scales through Planck's constant and the speed of light. Often in high energy physics natural units are used where length, time, energy and momentum scales are described in the same units (usually with units of energy such as GeV). Length scales are usually the operative scale (or at least one of the scales) in dimensional analysis. For instance, in scattering theory, the most common quantity to calculate is a cross section which has units of length squared and is measured in barns. The cross section of a given process is usually the square of the length scale. (Wikipedia).

Unit Scale

This video shows how to use unit scale to determine the actual dimensions of a model and how to determine the dimensions of a model from an actual dimensions. http://mathispower4u.yolasite.com/

From playlist Unit Scale and Scale Factor

Micrometer/diameter of daily used objects.

What was the diameter? music: https://www.bensound.com/

From playlist Fine Measurements

Dimensions Chapter 5

Chapter 5 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.

From playlist Dimensions

Micrometer / diameter of daily used objects

What was the diameter? music: https://www.bensound.com/

From playlist Fine Measurements

Ex: Measure Lengths in Centimeters - Decimal Notation and Mixed Numbers

This video explains how to measure length in centimeters and also makes the connection between decimal notation and mixed numbers. Site: http://mathispower4u.com

From playlist Introduction to Fractions

Dimensions Chapter 1

Chapter 1 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.

From playlist Dimensions

Dimensional Analysis Unit 9 AP7 Review Q6

From playlist 10M1 Review

Ex: Find the Dimensions of a Bookcase Using a Linear Equation

This video provides an example of how to determine the dimensions of a bookcase given the relationship between the width and height given the amount of material used. Complete Video Library: http://www.mathispower4u.com Search Videos: http://www.mathispower4u.wordpress.com

From playlist Applications: Solving Linear Equations in One Variable

Accuracy of Measurements

From playlist a. Numbers and Measurement

GCSE Revision Video 30 - Similar Shapes

From playlist GCSE Quick Revision List

A video revising the techniques and strategies for looking at similar shapes with area and volume. (Higher Only). This video is part of the Ratio & Proportion module in GCSE maths, see my other videos below to continue with the series. These are the calculators that I recommend 💎 Casio

From playlist GCSE Maths Videos

lesson 19 Module 1

Math 7: Module 1 Lesson 19 on Computing Actual Area of a Scale Drawing

From playlist Eureka Math Grade 7 Module 1

A video revising the techniques and strategies for looking at similar shapes with lengths. (Higher and Foundation). This video is part of the Ratio & Proportion module in GCSE maths, see my other videos below to continue with the series. These are the calculators that I recommend 💎 Cas

From playlist GCSE Maths Videos

Growing length scale in the short-time dynamics of glass-forming liquids by 5 Chandan Dasgupta

Indian Statistical Physics Community Meeting 2016 URL: https://www.icts.res.in/discussion_meeting/details/31/ DATES Friday 12 Feb, 2016 - Sunday 14 Feb, 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore This is an annual discussion meeting of the Indian statistical physics community wh

From playlist Indian Statistical Physics Community Meeting 2016

Lesson 18 Module 1

Math 7: Module 1 Lesson 18 on Computing Actual Lengts from a Scale Drawing.

From playlist Eureka Math Grade 7 Module 1

Mod-01 Lec-05 Introduction to Nanomaterials

Nanostructures and Nanomaterials: Characterization and Properties by Characterization and Properties by Dr. Kantesh Balani & Dr. Anandh Subramaniam,Department of Nanotechnology,IIT Kanpur.For more details on NPTEL visit http://nptel.ac.in.

From playlist IIT Kanpur: Nanostructures and Nanomaterials | CosmoLearning.org

The length of a vector and how to change it - From Zero to Geo 1.2

How do you find the length of a vector? And how do you change that length? We'll answer that in this video, and we will see that finding the length of a vector is like finding the absolute value, and that scaling a vector is like multiplication. This video is a part of "From Zero to Geo

From playlist From Zero to Geo

Scale Factor, Similar Triangles, and Proportions

This video defines scale factor and then uses proportions and equivalent ratios to determine missing values is similar shapes. http://mathispower4u.com

From playlist Number Sense - Decimals, Percents, and Ratios

Gaussian Processes - Part 2

From playlist COMP0168 (2020/21)

Scale Factor

This video shows how to use scale to determine the dimensions of a proportional model. http://mathispower4u.yolasite.com/

From playlist Unit Scale and Scale Factor

Length scale

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