Derived Quantities in Physics
In physics, derived quantities are physical quantities that are expressed in terms of the fundamental quantities. These quantities are obtained through mathematical operations like multiplication or division of base quantities. For example, velocity is derived from length and time, and force is derived from mass and acceleration. The units of derived quantities are called derived units, and some have special names to honor scientists.
| Derived Quantity | Formula | Derived Unit | Special Unit (Scientist’s Name) |
|---|---|---|---|
| Area | Length × Breadth | m² | — |
| Volume | Length × Breadth × Height | m³ | — |
| Density | Mass / Volume | kg/m³ | — |
| Speed or Velocity | Distance / Time | m/s | — |
| Acceleration | Velocity / Time | m/s² | — |
| Force | Mass × Acceleration | kg·m/s² | newton (N) |
| Work / Energy | Force × Displacement | kg·m²/s² | joule (J) |
| Momentum | Mass × Velocity | kg·m/s | — |
| Moment of Force (Torque) | Force × Distance | kg·m²/s² | newton-meter (N·m) |
| Power | Work / Time | kg·m²/s³ | watt (W) |
| Pressure | Force / Area | kg/m·s² | pascal (Pa) |
| Frequency | 1 / Time | s⁻¹ | hertz (Hz) |
| Electric Charge | Current × Time | A·s | coulomb (C) |
| Electric Potential | Work / Charge | kg·m²/s³·A | volt (V) |
| Electrical Resistance | Voltage / Current | kg·m²/s³·A² | ohm (Ω) |
| Electrical Power | Potential × Current | kg·m²/s³ | watt (W) |
