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Derived quantities are physical quantities that are derived from base quantities through mathematical operations like addition, subtraction, multiplication, or division. These derived quantities are also represented in units based on the units of the base quantities used in their calculation. Examples of derived quantities include velocity, acceleration, and density.
Fundamental quantities are base units that cannot be expressed in terms of other units, while derived quantities are combinations of fundamental units. Most physical measurements involve derived quantities, which are derived from fundamental quantities through mathematical relationships. The relationship between fundamental and derived quantities is essential for establishing a coherent system of measurement.
The 7 fundamental physical quantities were chosen because they are considered independent and cannot be derived from other physical quantities. These 7 quantities (length, mass, time, electric current, temperature, amount of substance, and luminous intensity) form the basis for all other physical measurements in the International System of Units (SI). Additional fundamental quantities can be derived from these 7, making them sufficient for describing physical phenomena comprehensively.
According to the (National Institute of Standards and Technology (NIST), "The SI is founded on seven SI base units for seven base quantities assumed to be mutually independent, as given in Table 1.""Other quantities, called derived quantities, are defined in terms of the seven base quantities via a system of quantity equations. The SI derived units for these derived quantities are obtained from these equations and the seven SI base units. Examples of such SI derived units are given in Table 2, where it should be noted that the symbol 1 for quantities of dimension 1 such as mass fraction is generally omitted. "Refer to the Related Link below in order to see Table 1 and Table 2.
Subsidiary quantities are derived quantities that are defined in terms of the base quantities in the International System of Units (SI), such as area and volume. Units for these quantities are formed by multiplying or dividing the base units according to their definitions. For example, the unit of speed, meter per second (m/s), is a derived unit formed from the base units of length (meter) and time (second) in SI.