Base Quantities
* Definition: These are fundamental, independent quantities that cannot be defined in terms of other quantities. They are the building blocks for all other physical quantities.
* Examples:
* Length: Measured in meters (m).
* Mass: Measured in kilograms (kg).
* Time: Measured in seconds (s).
* Temperature: Measured in Kelvin (K).
* Electric Current: Measured in Amperes (A).
* Amount of Substance: Measured in moles (mol).
* Luminous Intensity: Measured in Candelas (cd).
Derived Quantities
* Definition: These are quantities that are defined in terms of combinations of base quantities. They are dependent on base quantities.
* Examples:
* Speed: Derived from distance (length) divided by time. (m/s)
* Density: Derived from mass divided by volume (length cubed). (kg/m³)
* Force: Derived from mass times acceleration (length per time squared). (kg*m/s²)
* Energy: Derived from force times distance. (kg*m²/s²)
* Pressure: Derived from force divided by area (length squared). (kg/m*s²)
* Power: Derived from energy divided by time. (kg*m²/s³)
* Frequency: Derived as the reciprocal of time. (1/s or Hz)
Key Points to Remember:
* Base Quantities are Independent: You can't define length using mass or time, for example.
* Derived Quantities are Dependent: They are defined in terms of the base quantities.
* Units are Key: The units of a derived quantity are derived from the units of the base quantities that make it up.
* Systems of Units: Different systems of units exist (e.g., SI, Imperial), but the fundamental concept of base vs. derived quantities remains the same.
Let me know if you'd like a specific example or want to explore how a particular derived quantity is defined!