Derived Quantities and Their Units

In addition to the seven fundamental quantities, there are derived quantities that are combinations of the fundamental ones. These include quantities like velocity, acceleration, force, and energy.

1. Velocity (or Speed)

  • Definition: The rate of change of position of an object.
  • Unit: Meters per second (m/s)
  • Formula: v=displacementtimev = \frac{\text{displacement}}{\text{time}}v=timedisplacement​

2. Acceleration

  • Definition: The rate of change of velocity.
  • Unit: Meters per second squared (m/s²)
  • Formula: a=ΔvΔta = \frac{\Delta v}{\Delta t}a=ΔtΔv​

3. Force

  • Definition: A push or pull on an object that causes a change in motion.
  • Unit: Newton (N)
  • Formula: F=maF = maF=ma (Force equals mass times acceleration)

4. Energy

  • Definition: The capacity to do work. Energy can exist in many forms, including kinetic, potential, thermal, etc.
  • Unit: Joule (J)
  • Formula: E=F⋅dE = F \cdot dE=F⋅d (Energy equals force times distance)

5. Power

  • Definition: The rate at which work is done or energy is transferred.
  • Unit: Watt (W)
  • Formula: P=EtP = \frac{E}{t}P=tE​ (Power equals energy divided by time)

6. Pressure

  • Definition: The force applied per unit area.
  • Unit: Pascal (Pa)
  • Formula: P=FAP = \frac{F}{A}P=AF​

7. Frequency

  • Definition: The number of occurrences of a repeating event per unit time.
  • Unit: Hertz (Hz), where 1 Hz = 1 cycle per second.

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