The SI unit for work is the joule (J). It is defined as the amount of work done when a force of one newton is applied over a distance of one meter. This can be expressed as 1 J 1 N 1 m.
Because you have to start somewhere - you can't derive ALL units. You have to have SOME fundamental units.For example, 1 ampere = 1 coulomb / second. That also means that 1 coulomb = 1 ampere x 1 second, or that 1 second = 1 coulomb / 1 ampere. In other words, you can derive any of the three units from the other two. In practice, for base units, units were chosen that can be measured with great precision.Another AnswerThe ampere is not a 'fundamental' unit; it is a base unit. The ampere was chosen as a base unit, because it relates electrical units to mechanical units, being defined, as it is, in terms of the force (which itself is defined in terms of base units) between current-carrying conductors.You might be getting confused because, quite wrongly, the ampere is often defined as a 'coulomb per second'. While it is certainly equivalent to a coulomb per second, it is not definedin this way.
Each fundamental quantity, such as length, mass, time, electric current, thermodynamic temperature, amount of substance, and luminous intensity, is defined by a specific measuring unit within the International System of Units (SI), which establishes a standard for quantifying that particular fundamental property. These units are defined in terms of physical constants or natural phenomena to ensure consistency and accuracy in measurements across different contexts and applications.
Length is considered a fundamental quantity because it is a basic physical quantity that cannot be defined in terms of other fundamental quantities. It is used to define other physical quantities such as speed, area, and volume. Additionally, length has its own units of measurement (meter, inch, etc.) that are universally recognized and applied in various scientific disciplines.
The fundamental units are based on specific standards for each unit. Derived units result from manipulating the fundamental units. For example, the SI unit for distance or length is the meter, and the SI unit for time is the second. If you divide meters by seconds, you get m/s, a derived unit for speed or velocity.
If you mean in the SI, it is defined to be a fundamental unit. Consider, for example, Newton's Second Law (force = mass x acceleration), used to define force as a derived unit in the SI. Acceleration is already a derived unit (derived from distance and time) - let's keep it this way, for the sake of discussion. Now, in SI units, force is defined to be derived from mass (and acceleration). Mass is the "fundamental" unit, and force is the "derived" unit. The same relationship, i.e. Newton's Second Law, could just as well have been used the other way round. That is, force could have been defined as the fundamental unit, and mass derived from force (and acceleration). The creators of SI basically defined certain units as "base units" because they could be defined with a high degree of precision.
a unit defined in terms of units of fundamental quantities
Fundamental unitsFundamental units, or base units, are those that cannot be decomposed into more basic units. (Note that "basic" does not mean "smaller.") Derived units, on the other hand, are those that are defined in terms of other units, which may be base units or other derived units. In the SI system, the base unit of length is the meter, the base unit of mass is the kilogram, and the base unit of time is the second. The base unit of electrical current is the ampere which is defined in terms of the force between parallel, current-carrying conductors.One of a set of unrelated units of measurement, which are arbitrarily defined and from which other units are derived. For example, in the SI system the fundamental units are the meter, kilogram, and second.
] ==
Because you have to start somewhere - you can't derive ALL units. You have to have SOME fundamental units.For example, 1 ampere = 1 coulomb / second. That also means that 1 coulomb = 1 ampere x 1 second, or that 1 second = 1 coulomb / 1 ampere. In other words, you can derive any of the three units from the other two. In practice, for base units, units were chosen that can be measured with great precision.Another AnswerThe ampere is not a 'fundamental' unit; it is a base unit. The ampere was chosen as a base unit, because it relates electrical units to mechanical units, being defined, as it is, in terms of the force (which itself is defined in terms of base units) between current-carrying conductors.You might be getting confused because, quite wrongly, the ampere is often defined as a 'coulomb per second'. While it is certainly equivalent to a coulomb per second, it is not definedin this way.
In the SI, it is DEFINED as a base unit, together with the unit of length, the unit of time, and a few others. Other units are derived from these base units.
Each fundamental quantity, such as length, mass, time, electric current, thermodynamic temperature, amount of substance, and luminous intensity, is defined by a specific measuring unit within the International System of Units (SI), which establishes a standard for quantifying that particular fundamental property. These units are defined in terms of physical constants or natural phenomena to ensure consistency and accuracy in measurements across different contexts and applications.
Length is considered a fundamental quantity because it is a basic physical quantity that cannot be defined in terms of other fundamental quantities. It is used to define other physical quantities such as speed, area, and volume. Additionally, length has its own units of measurement (meter, inch, etc.) that are universally recognized and applied in various scientific disciplines.
In the SI, it is DEFINED as a base unit, together with the unit of length, the unit of time, and a few others. Other units are derived from these base units.
The fundamental units are based on specific standards for each unit. Derived units result from manipulating the fundamental units. For example, the SI unit for distance or length is the meter, and the SI unit for time is the second. If you divide meters by seconds, you get m/s, a derived unit for speed or velocity.
If you mean in the SI, it is defined to be a fundamental unit. Consider, for example, Newton's Second Law (force = mass x acceleration), used to define force as a derived unit in the SI. Acceleration is already a derived unit (derived from distance and time) - let's keep it this way, for the sake of discussion. Now, in SI units, force is defined to be derived from mass (and acceleration). Mass is the "fundamental" unit, and force is the "derived" unit. The same relationship, i.e. Newton's Second Law, could just as well have been used the other way round. That is, force could have been defined as the fundamental unit, and mass derived from force (and acceleration). The creators of SI basically defined certain units as "base units" because they could be defined with a high degree of precision.
In a system of units such as the SI, BASE UNITS are defined; other units are derived from those.For example, in the SI, the meter, the kilogram, and the second are base units; the units for area (meters squared), for speed and velocity (meters/second), etc. are derived from the base units. Which units are base units, and which units are derived units, really depends on how the unit is defined. For example, in the SI, pressure is a derived unit; but you can just as well invent a system in which pressure is a base unit, and some other units, that are base units in the SI, are derived in this new system.
The unit of amount of substance, the mole, is considered a fundamental unit in the International System of Units (SI) because it is defined independently of any other units. It is used to measure the quantity of entities like atoms and molecules in a substance.