Quantity that has the dimension of the exponents of the first quantity minus The division of one physical quantity by another results in a new physical Quantity that has the sum of the exponents of the dimensions of the initial The multiplication of two physical quantities results in a new physical The quantities by a units conversion factor to obtain compatible units. Systems of units can be added or subtracted by multiplying one of Physical quantities with the same dimension in different The resulting physical quantity has the sameĭimensions. In order to add or subtract two physical quantities the quantities must The normal rules of algebra for exponents apply An exponent of zero means the dimension does not apply Where a,b,c,d,e and f are integers such as -4, -3, -2, -1, 0, 1, 2, 3, 4Īnd L is length, M is mass, T is time, Q is charge, C is luminous intensityĪnd K is temperature. The dimension of any physical quantity can be written as Permittivity, epsi T Q /ML farad per meter sec c /Kg mĪngular frequency omega 1/T radians per second sec Permeability mu ML/Q henry per meter Kg m/c Magnetic vector potential A ML/TQ weber/meter Kg m/sec cĮlectric field intensity E ML/T Q volt/meter or Kg m/sec cĮlectric displacement D Q/L coulomb per c/m Magnetic intensity H Q/LT ampere per meter c/m sec Specific weight γ M/L 2 T 2 newton Kg/m 2 sec 2Įmf,voltage,potential E ML /T Q volt Kg m /sec cĮlectric resistance R ML /TQ ohm Kg m /sec cĬonductivity sigma TQ /ML mho per meter sec c /Kg mĬurrent density J Q/TL ampere per c/sec m Kinematic viscosity μ/ρ ν L 2/T square meter m 2 /sec Volume rate of flow Q L 3/T cubic meter m 3 /secĭynamic viscosity μ M/LT newton second Kg/m sec Luminous flux Φ C lumen (4Pi candle cd srĮntropy S ML 2/T 2 K joule per degree Kg m 2 /sec 2 oK Moment of inertia I ML 2 kilogram meter sq Kg m 2 Inertia (linear) I ML 2/T joule second Kg m 2/sec ![]() Momentum mass*vel M ML/T newton second Kg m/sec Stress σ M/LT 2 newton per sq m Kg/m sec 2 Pressure P M/LT 2 newton per sq m Kg/m sec 2īulk modulus K M/LT 2 newton per sq m Kg/m sec 2 Specific gravity SG ratio of density to density of water Torque T ML 2/T 2 newton meter Kg m 2 /sec 2 _ _ _ _ _Īngular velocity ω 1/T radians per second sec -1Īcceleration a L/T 2 meter per square m/sec 2Īngular acceleration α 1/T 2 radians per 1/sec 2 PHYSICAL QUANTITY SYMBOL DIMENSION MEASUREMENT UNIT UNIT EQUATION Thus, there is ambiguity and duplication of symbols. Physics developed over a period of many years by many people from a variety ![]() An independent table presents conversionįactors from the MKS measurement system to other measurement systems. Is the name of the unit in the MKS measurement system. Quantity expressed in terms of the fundamental dimensions. The third column is the dimension of the physical The second column is one of the typical symbols usedįor the physical quantity. The table below is organized to present the physical quantity name withĪssociated information. AsĮxpected, centripetal force has the same dimensionality as the force from With the dimensions expected for force from the basic equation F=ma. mass x (length/time) x (length/time) / length.Ĭombining terms and reducing yields mass x length / time squared. The check is performed byĮxpanding the dimensions, e.g. Second is to check that a consistent system of units is used in the equation.Īn example of a dimensionality check is using the basic equation F=ma toĭetermine that force has the dimension mass x length / time squared, thenĬheck if F=mv 2 /r is dimensionally correct. The dimensionality is independent of the unit system. The checking of a physical equation has two aspects. A few physical dimensions and theĪssociated measurement unit in these three systems are : Is based on centimeter, gram, second measurement. The MKS system is based on meter, kilogram, second measurement. There are a number of systems of units for measuring physical dimensions. ![]() The basic physical dimensionsĪre: length, mass, time, electrical charge, temperature and luminous intensity. That is independent of the units of measurement. All physical quantities have a fundamental dimension Many of these errors can be prevented by performing a dimensionalityĬheck on the equations. Physics Equations Just need a numeric conversion from one unit to another: click below Physical Quantities and Their Associated DimensionsĮrrors can occur in writing equations to solve problems in classical.Physical Quantities and their Associated Dimensions.Units and Dimensionality Units and Dimensionality Basic, Mechanical and Electrical units and conversions Physics equations for Mechanical and Electrical quantities Contents
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