Derived unit

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Derived unit is a term used in the field of physics and measurement to refer to a SI unit of measurement that is constructed from the seven base units specified by the International System of Units (SI) through multiplication, division, or other mathematical operations. Derived units are used to measure physical quantities that cannot be directly measured using the base units alone, such as velocity, acceleration, force, and many others. The use of derived units allows for a coherent and consistent system of measurements across different fields of science and engineering.

Definition[edit | edit source]

A derived unit is defined as a unit that is derived from one or more of the seven base units of the International System of Units through algebraic relationships. These relationships involve the basic operations of multiplication and division, allowing for the creation of units that can measure a wide variety of physical quantities beyond those directly accessible by the base units.

Examples[edit | edit source]

Some common examples of derived units include:

  • The Newton, the SI unit of force, which is derived from the base units by the relationship 1 N = 1 kg·m/s².
  • The Joule, the SI unit of energy, work, or amount of heat, defined as 1 J = 1 kg·m²/s².
  • The Watt, the SI unit of power, which is 1 W = 1 J/s = 1 kg·m²/s³.
  • The Pascal, the SI unit of pressure or stress, which is 1 Pa = 1 N/m² = 1 kg/(m·s²).

Importance[edit | edit source]

Derived units play a crucial role in the sciences and engineering by providing a standardized and universally accepted way to measure and express complex physical quantities. This standardization facilitates communication, comparison, and collaboration across different disciplines and industries worldwide.

SI Derived Units with Special Names[edit | edit source]

Several derived units in the SI system have been given special names and symbols, as they are frequently used in various scientific and engineering contexts. These include units like the Newton, Joule, Watt, and Pascal, among others. The decision to assign special names to certain derived units is made by the International Committee for Weights and Measures (CIPM) and the General Conference on Weights and Measures (CGPM).

Conclusion[edit | edit source]

Derived units are an essential component of the International System of Units, enabling the measurement of a wide range of physical quantities in a coherent and standardized manner. By building on the foundation provided by the seven base units, derived units facilitate the precise and consistent measurement necessary for scientific research, technological development, and industrial applications.

Derived unit Resources
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Contributors: Prab R. Tumpati, MD