write the advantages and disadvantages of dimensional analysis?

 ADVANTAGES OF DIMENSIONAL ANALYSIS : 

  1. it helps in conversion of one system of units into the other  . 
  2. it is useful in checking the correctness of the given physical relation . 
  3. it helps in deriving relationship between various physical quantities ...

DISADVANTAGES OF DIMENSIONAL ANALYSIS : 

  1. dimensionless constant involved in the physical relation cannot be determined ..
  2. it fails to give information about trigonometric functions , logarithmic , exponential quantities involved in the physical relation ...
  3. since there are only 3 quantiies namely M , L and T whose powers can be compared on both sides thus , it fails to derive relation between a quantity which depends on more than 3 factors ..
  4. it fails to derive relations like : S = ut + 1/2 at2 , v2-u2 = 2as .. 

hope u got it ...

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 Advantages:

It helps checking the correctness of a equation.

  1. it helps in deducing relations between physical quantities.
  2. It helps in conversion od quantities from one unit to another.

Disadvantages:

  1. An equation proved to be right  by dimensional analysis is not an exactly a correct equation. It can be wrong.
  2. it cannot be used to obtain relationship between dimensionless quantities.
  3. It does not distinguish between the pysical quantities having same dimensions. 
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dimension of eqation is correct

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Advantages:

It helps checking the correctness of a equation.

  1. it helps in deducing relations between physical quantities.
  2. It helps in conversion od quantities from one unit to another.

Disadvantages:

  1. An equation proved to be right by dimensional analysis is not an exactly a correct equation. It can be wrong.
  2. it cannot be used to obtain relationship between dimensionless quantities.
  3. It does not distinguish between the pysical quantities having same dimensions.
Posted by FAITH AKOMOLAFE(student), on 20/12/12

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tq
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advantage
it helps checking of correctness of equation
disadvantage
it cannot be used to obtain relationship b/w dimensionless quantites
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Explain the method to measure lenght , mass and time
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Advantages:-

*.Conversion from one units to another
*.Preliminary testfor validity of equation
*.Correlation of various parameters in an experiment to understand the relationship between them to form an empirical relationship. (Buckingham phi theorem
*.Defining dimentionless constants or units that wouldmake the physical effect to be studied easier.For e.g. Prandtl number,Reynolds number. This is a major implication of dimentional analysis in highly dynamic systems.
*.Reducing the number of experiments to be conducted. When a dimentionless quantity is formulated, the combination of experiments required for describing in them will be less when compared to the large number of participant variables in correlation.

Disadvantages:-

*.Data fromlarge number of experiments may still be indecisive.
*.Limited in case of trigonometricor exponential solutions.
*.Impractical for correlation of more than threeparameters.
*.Addition and subtraction of parameters cannot be reflected on dimentional analysis.
*.It cannot give the final word on the validity of a relationship.
*.The analysis cannot understand the nature of constants in thecorrelation.
I think it will help you ....
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OOOOH
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