“dimensions”的概念、定义、翻译、参考文献-科学参考

dimensions

Physics

The product or quotient of the basic physical quantities, raised to the appropriate powers, in a derived physical quantity. The basic physical quantities of a mechanical system are usually taken to be mass (M), length (L), and time (T). Using these dimensions, the derived physical quantity velocity will have the dimensions L/T and acceleration will have the dimensions L/T². As force is the product of a mass and an acceleration (see Newton’s laws of motion), force has the dimensions MLT⁻². In electrical work in SI units, current, I, can be regarded as dimensionally independent and the dimensions of other electrical units can be found from standard relationships. Charge, for example, is measured as the product of current and time. It therefore has the dimension IT. Potential difference V is related to the current I and the power P by the relationship P=VI, where P is power. As power is force×distance ÷ time (MLT⁻²×L×T⁻¹=ML²T³), voltage V is given by V=ML²T⁻³I⁻¹.

Mathematics

Many physical quantities can be described in terms of the basic dimensions of mass M, length L, and time T, using positive and negative indices. For example, the following have the dimensions given: area, L²; velocity, LT⁻¹; force, MLT⁻²; linear momentum, MLT⁻¹; energy, ML²T⁻²; and power, ML²T⁻³. Temperature is another dimension, and there are others (e.g. electric current or luminous intensity) within the SI units system, but these are more relevant to physics than mathematics.

Chemical Engineering

1. The size of an area or a body, such as a rectangle or a cylinder that is measured in terms of breadth, height, and diameter.

2. The product or quotient of the basic physical quantities, raised to the appropriate powers, in a derived physical quantity. The basic physical quantities are mass, length, and time from which derived quantities can be formulated. For example, force is defined as the product of mass [M] and acceleration [LT⁻²] to give [MLT⁻²]. Pressure is defined as force per unit area [L²] to give the derived units of [ML⁻¹T⁻²].

3. The number of coordinates needed to define a line, shape, or solid. A rectangular area is two-dimensional and a solid is three-dimensional.

单词	dimensions
释义	dimensions Physics The product or quotient of the basic physical quantities, raised to the appropriate powers, in a derived physical quantity. The basic physical quantities of a mechanical system are usually taken to be mass (M), length (L), and time (T). Using these dimensions, the derived physical quantity velocity will have the dimensions L/T and acceleration will have the dimensions L/T². As force is the product of a mass and an acceleration (see Newton’s laws of motion), force has the dimensions MLT⁻². In electrical work in SI units, current, I, can be regarded as dimensionally independent and the dimensions of other electrical units can be found from standard relationships. Charge, for example, is measured as the product of current and time. It therefore has the dimension IT. Potential difference V is related to the current I and the power P by the relationship P=VI, where P is power. As power is force×distance ÷ time (MLT⁻²×L×T⁻¹=ML²T³), voltage V is given by V=ML²T⁻³I⁻¹. Mathematics Many physical quantities can be described in terms of the basic dimensions of mass M, length L, and time T, using positive and negative indices. For example, the following have the dimensions given: area, L²; velocity, LT⁻¹; force, MLT⁻²; linear momentum, MLT⁻¹; energy, ML²T⁻²; and power, ML²T⁻³. Temperature is another dimension, and there are others (e.g. electric current or luminous intensity) within the SI units system, but these are more relevant to physics than mathematics. Chemical Engineering 1. The size of an area or a body, such as a rectangle or a cylinder that is measured in terms of breadth, height, and diameter. 2. The product or quotient of the basic physical quantities, raised to the appropriate powers, in a derived physical quantity. The basic physical quantities are mass, length, and time from which derived quantities can be formulated. For example, force is defined as the product of mass [M] and acceleration [LT⁻²] to give [MLT⁻²]. Pressure is defined as force per unit area [L²] to give the derived units of [ML⁻¹T⁻²]. 3. The number of coordinates needed to define a line, shape, or solid. A rectangular area is two-dimensional and a solid is three-dimensional.
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