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Table 2. Examples of SI derived units expressed in terms of SI base unitsSI derived unit Derived quantityNameSymbolareasquare meterm2volumecubic meterm3speed, velocitymeter per secondm/saccelerationmeter per second squaredm/s2wavenumberreciprocal meterm-1density, mass densitykilogram per cubic meterkg/m3specific volumecubic meter per kilogramm3/kgcurrent densityampere per square meterA/m2magnetic field strengthampere per meterA/mluminancecandela per square metercd/m2amount-of-substance concentrationamount concentration , concentration mole per cubic metermol/m3
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  1. Velocity (v) - unit symbol: m/s
  2. Acceleration (a) - unit symbol: m/s^2
  3. Force (F) - unit symbol: N (Newton)
  4. Energy (E) - unit symbol: J (Joule)
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Q: Derived quantities their symbols and the symbols of their units?
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What are those derived quantities in units?

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.


What is the relationship between fundamental and derived quantities?

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.


Why are there 7 fundamental physical quantities and not more?

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.


What's the relationship between fundamental and derived quantities?

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.


What are subsidiary quantities and units in SI?

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.