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kilogram-force per square millimetre: kgf/mm 2: ≡ 1 kgf/mm 2 = 9.806 65 × 10 6 Pa [33] kip per square inch: ksi ≡ 1 kipf/sq in ≈ 6.894 757 × 10 6 Pa [33] long ton per square foot: ≡ 1 long ton × g 0 / 1 sq ft ≈ 1.072 517 801 1595 × 10 5 Pa: micrometre of mercury: μmHg ≡ 13 595.1 kg/m 3 × 1 μm × g 0 ≈ 0.001 torr ≈ 0.133 ...
Such a scaling changes the diameter of an object by a factor between the scale factors, the area by a factor between the smallest and the largest product of two scale factors, and the volume by the product of all three. The scaling is uniform if and only if the scaling factors are equal (v x = v y = v z). If all except one of the scale factors ...
In engineering and science, dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities (such as length, mass, time, and electric current) and units of measurement (such as metres and grams) and tracking these dimensions as calculations or comparisons are performed.
Fabric "weight" is often specified as mass per unit area, grams per square meter (gsm) or ounces per square yard. It is also sometimes specified in ounces per yard in a standard width for the particular cloth. One gram per square meter equals 0.0295 ounces per square yard; one ounce per square yard equals 33.9 grams per square meter.
A derived unit is used for expressing any other quantity, and is a product of powers of base units. For example, in the modern metric system, length has the unit metre and time has the unit second, and speed has the derived unit metre per second. [5]: 15 Density, or mass per unit volume, has the unit kilogram per cubic metre. [5]: 434
The SI has special names for 22 of these coherent derived units (for example, hertz, the SI unit of measurement of frequency), but the rest merely reflect their derivation: for example, the square metre (m 2), the SI derived unit of area; and the kilogram per cubic metre (kg/m 3 or kg⋅m −3), the SI derived unit of density.
In physics, a characteristic length is an important dimension that defines the scale of a physical system. Often, such a length is used as an input to a formula in order to predict some characteristics of the system, and it is usually required by the construction of a dimensionless quantity, in the general framework of dimensional analysis and in particular applications such as fluid mechanics.
The lux (lx) is equal to one lumen per square metre (1 lm⋅m −2). The becquerel (Bq) is equal to one reciprocal second (1 s −1). The gray (Gy) is equal to one joule per kilogram (1 J⋅kg −1). The sievert (Sv) is equal to one joule per kilogram (1 J⋅kg −1). The katal (kat) is equal to one mole per second (1 mol⋅s −1).