Fundamental quantities and derived quantities

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In summary, fundamental quantities are the basic physical quantities that cannot be defined in terms of other quantities, such as length, mass, time, electric current, temperature, amount of substance, and luminous intensity. Derived quantities, on the other hand, are those that are calculated from fundamental quantities through mathematical relationships, such as speed (length/time), area (length²), and force (mass × acceleration). Together, they form the basis for measurement in physics and facilitate the understanding of physical phenomena.
  • #1
Manish_529
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Homework Statement
If there are only 7 fundamental quantities then how come we can choose the fundamental quantities according to our will like if we take time and speed as fundamental quantities then length is a derived quantity but it's one of the 7 physical quantity so is this stuff working?
Relevant Equations
The seven fundamental physical quantities are length, mass, time, electric current, temperature, amount of substance and intensity of light
L=Velocity x time here length is directly proportional to time so come is it independent as it should be since it's a fundamental physical quantity
 
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  • #2
It is just a matter of convention. You can choose to work in units where there is only a single fundamental physical dimension. It depends on how you define your system of units.
 
  • #3
then the 7 fundamental physical quantities that we read are they incorrect ?
 
  • #4
No. There is no correct/incorrect here. Just definitions.
 
  • #5
Orodruin said:
No. There is no correct/incorrect here. Just definitions.
so they have been chosen according to what conventions
 
  • #6
Manish_529 said:
so they have been chosen according to what conventions
Choosing them is the convention.
 

FAQ: Fundamental quantities and derived quantities

What are fundamental quantities?

Fundamental quantities are the basic physical quantities that cannot be defined in terms of other quantities. They serve as the foundation for measuring physical phenomena. Common examples include length, mass, time, electric current, temperature, amount of substance, and luminous intensity.

What are derived quantities?

Derived quantities are those that are defined in terms of fundamental quantities. They are obtained by combining one or more fundamental quantities through mathematical operations. Examples include area (length squared), volume (length cubed), velocity (length per time), and acceleration (length per time squared).

How many fundamental quantities are there in the International System of Units (SI)?

In the International System of Units (SI), there are seven fundamental quantities. These are length (meter), mass (kilogram), time (second), electric current (ampere), temperature (kelvin), amount of substance (mole), and luminous intensity (candela).

Can derived quantities be expressed in different units?

Yes, derived quantities can be expressed in different units. For example, velocity can be expressed in meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph). The choice of units depends on the context and the convenience of measurement.

Why is it important to distinguish between fundamental and derived quantities?

Distinguishing between fundamental and derived quantities is important for clarity and consistency in scientific communication and calculations. It helps in understanding the relationships between different physical phenomena and ensures that measurements and calculations are based on a solid foundation of defined quantities.

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