The first table lists the base quantities used in the International System of Units to define the physical dimension of physical quantities for dimensional analysis. The second table lists the derived physical quantities.
Base quantities
This table lists the base quantities used in the International System of Units to define the physical dimension of physical quantities for dimensional analysis.
| Base quantity |
SI base unit |
| Length |
metre (m) |
| Mass |
kilogram (kg) |
| Time |
second (s) |
| Electric Current |
ampere (A) |
| Temperature |
kelvin (K) |
| Amount of substance |
mole (mol) |
| Luminous intensity |
candela (cd) |
Derived quantitie
This table lists the derived physical quantities, derived quantities can be mentioned in terms of the base quantities.
| Derived quantity |
Description |
SI derived unit |
| Acceleration |
Rate of change of velocity per unit time: the second time derivative of position |
m/s2 |
| Angular momentum |
Measure of the extent and direction of an object rotates about a reference point |
kg.m2/s |
| Area |
Extent of a surface |
m2 |
| Capacitance |
Stored charge per unit electric potential |
farad (F = C/V) |
| Centrifugal force |
Inertial force that appears to act on all objects when viewed in a rotating frame of reference |
N.rad = kg.m.rad.s-2 |
| Dynamic viscosity |
Measure for the resistance of an incompressible fluid to stress |
Pa.s |
| Electric charge |
The force per unit electric field strength |
coulomb (C = A.s) |
| Electrical resistance |
Electric potential per unit electric current |
ohm (Ω = V/A) |
| Energy |
Energy |
J |
| Entropy |
Logarithmic measure of the number of available states of a system |
J/K |
| Force |
Transfer of momentum per unit time |
newton (N = kg.m.s-2) |
| Frequency |
Number of (periodic) occurrences per unit time |
hertz (Hz = s-1) |
| Heat |
Thermal energy |
joule (J) |
| Magnetic field strength |
Strength of a magnetic field |
A/m |
| Moment of inertia |
Inertia of an object with respect to angular acceleration |
kg.m2 |
| Momentum |
Product of an object's mass and velocity |
kg.m/s |
| Power |
Rate of transfer of energy per unit time |
watt (W) |
| Pressure |
Force per unit area |
pascal (Pa = N/m2) |
| Specific energy |
Energy density per unit mass |
J.kg-1 |
| Specific heat capacity |
Heat capacity per unit mass |
J/(K.kg) |
| Stress |
Force per unit oriented surface area |
Pa |
| Surface tension |
Energy change per unit change in surface area |
N/m or J/m2 |
| Temperature gradient |
steepest rate of temperature change at a particular location |
K/m |
| Thermal resistance |
Measure for the ease with which an object resists conduction of heat |
K/W |
| Torque |
Product of a force and the perpendicular distance of the force from the point about which it is exerted |
newton-metre (N.m) |
| Velocity |
Moved distance per unit time: the first time derivative of position |
m/s |
| Volume |
Three dimensional extent of an object |
m3 |
| Wavelength |
Perpendicular distance between repeating units of a wave |
m |
| Weight |
Gravitational force on an object |
newton (N = kg.m/s2) |
| Work |
Transferred energy |
joule (J) |
| Young's modulus |
Ratio of stress to strain |
pascal (Pa = N/m2) |
Distance Conversion
Below is the table explaining the distance conversion for different units of distance:
| Units |
Metre (m) |
| 1 fermi |
10 -15 |
| 1 angstrom |
10 -10 |
| 1 nanometer |
10 -9 |
| 1 millimeter (mm) |
10 -3 |
| 1 centimeter (cm) |
10 -2 |
| 1 metre (m) |
1 |
| 1 kilometer (km) |
10 3 |
| 1 Mile |
1609.34 |
| 1 inch (in) |
0.0254 |
| 1 Acre |
4046.94 square meter |
| 1 Hectare |
2.5 acre |
Units of Mass
Mass is both a property of a physical body and a measure of its resistance to acceleration (rate of change of velocity with respect to time) when a net force is applied.
| 1 Ounce |
28.35 gram |
| 1 Pound |
16 Ounce |
| 1 Kilogram |
2.205 Pound |
| 1 Quintal |
100 Kg |
| 1 Metric Ton |
1000 Kg |
Units of Volume
Volume is the quantity of three-dimensional space enclosed by a closed surface.
| 1 Gallon |
3.786 Litre |
| 1 Litre |
1000 cubic cm |
| 1 Barrel |
42 US Gallon |
| 1 Barrel |
158.98 Liter |
Image Source Sep 22, 2021 12:54 IST · 1 min read