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Derived Quantities in Physics

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
Volume Length × Breadth × Height
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)

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