Physics - Grade XI or Standard XI
Derived Quantities and Derived Units
Derived quantities:
The physical quantities other than fundamental quantities which depend on one or more fundamental quantities for their measurements are called derived quantities.
Examples of derived quantities:
force, pressure, density, speed, volume, etc.
Derived units:
The units of derived quantities which depend on fundamental units for their measurements are called derived units.
Examples of derived units:
newton, kg/m3, m/s, etc.
| Dervied Quantity | Formula | Formula Short | SIU |
|---|---|---|---|
| Area | Area = Length2 | A = L2 | m2 |
| Volume | Volume = Length3 | A = L3 | m3 |
| Density | Density = mass / volume | ρ = m / V | kg/m3 |
| Velocity | Velocity = distance / time | v = s / t | m/s |
| Acceleration | Acceleration = distance / time2 | a = s / t2 | m/s2 |
| Gravitational acceleration | Gravitational acceleration = acceleration | g = a | m/s2 |
| Momentum | Momentum = mass x velocity | p = mv | kg.m/s |
| Force | Force = mass x acceleration | f = ma | N (newton) |
| Impulse | Impulse = force x time | J = ft | N.s |
| Work | Work = force x distance | W = fs | J (joule) |
| Kinetic Energy | KE = (1/2) x mass x velocity2 | KE = (1/2) mv2 | J (joule) |
| Gravitational Potential Energy | U = mass x g x height | U = mgh | J (joule) |
| Work | Work = energy | Work = energy | J (joule) |
| Power | Power = work / time | Power = W/t | W (watt) |
| Pressure | Pressure = force / area | P = f / A | Pa (pascal) |
| Weight | Weight = force | Weight = force | N (newton) |
| Weight | Weight = mass x g | W = mg | N (newton) |
| Temperature Gradient | TG = temperature / distance | TG = dθ/dx | K/m |
| Heat | Heat = Work = Energy | Q = W = U | J (joule) |
| Electric Current | current = charge / time | I = q / t | A (ampere) |
| Electric Charge | Charge = current x time | q = It | C (coulomb) |
| Electric Field Intensity | E = force / charge | E = f / q | N/C |
| Electric Potential | EP = Electric field intensity x distance | V = Es | V (volt) |
| Work | Work = charge x potential | W = qV | J (joule) |
| Resistance | Resistance = voltage / current | R = V / I | Ω (ohm) |
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