Dimensions


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Dimensions (mechanics)

Length, mass, time, or combinations of these quantities serving as an indication of the nature of a physical quantity. Quantities with the same dimensions can be expressed in the same units. For example, although speed can be expressed in various units such as miles/hour, feet/second, and meters/second, all these speed units involve the ratio of a length unit to a time unit; hence, the dimensions of speed are the ratio of length L to time T, usually stated as LT-1. The dimensions of all mechanical quantities can be expressed in terms of L, T, and mass M. The validity of algebraic equations involving physical quantities can be tested by a process called dimensional analysis; the terms on the two sides of any valid equation must have the same dimensions. See Dimensional analysis, Units of measurement

Dimensions

 

The dimensions of a physical quantity show by what factor the unit of the physical quantity is changed when the units of the quantities adopted as fundamental in the given system are altered. The dimensions are expressed by a monomial consisting of the product of various powers of the fundamental units, which are represented by generalized symbols; the exponents may be positive or negative integers or fractions. Thus, the dimensions of velocity are LT-1, where T represents the dimension of time and L the dimension of length. These symbols denote the units of time and length regardless of the specific size of the units. The units may be, for example, a second, minute, or hour and a meter or centimeter. In many cases, the dimensions permit the relations between corresponding quantities to be established.

dimensions

[də′men·chənz]
(physics)
The product of powers of fundamental quantities (or of convenient derived quantities) which are used to define a physical quantity; the fundamental quantities are often mass, length, and time.
References in periodicals archive ?
Programmatic use of processes promoting focused conversation around mutual problem-solving, shared visioning, collaborative learning, collegial coaching, and shared work do appear to facilitate the development of teacher thinking across the dimensions of dialogue identified in the analysis.
In the late 1970s, mathematicians used Delsarte's methods to figure out the kissing numbers in dimensions 8 and 24.
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This allowed the molder to see shot-to-shot variations in process parameters, and correlate them with shot-to-shot variations in part dimensions.
We have had very positive experiences working with EVA and are enthusiastic about supporting Bennett Stewart, Al Ehrbar and their team in the Dimensions and Advisers businesses," said HNC's Chief Financial Officer David Silver, who has joined the Board of Directors of EVA Dimensions.
Of the five dimensions hypothesized by Schornmer's (1990) model, on which the scenario was based, only omniscient authority did not appear as its own factor in the analysis.
In this new hypothesis of so-called large extra dimensions resides a possible solution to a long-standing puzzle: Why is gravity so much weaker than the other forces?
The relation between the second and third dimensions may also have interesting implications.