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| Limitations of Dimensional Analysis |
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Dimensional analysis has no information on dimensionless constants. |
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If a quantity is dependent on trigonometric or exponential functions, this method cannot be used. |
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In some cases, it is difficult to guess the factors while deriving the relation connecting two or more physical quantities. |
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This method cannot be used in an equation containing two or more variables with same dimensions. |
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It cannot be used if the physical quantity is dependent on more than three unknown variables. |
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This method cannot be used if the physical quantity contains more than one term, say sum or difference of two terms. |
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| a) Convert a velocity of 48 kmh-1 into ms-1 |
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| b) Convert an acceleration of 48 km min-2 into ms-1 |
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| a) v = 48kmh-1 |
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| 1 km = 1000 m, 1h = 60 x 60 s |
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| b) a = 48kmmin-2 |
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| 1 km = 1000 m, 1min = 60 x 60 s |
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