Lecture4-C

# Lecture4-C - DIMENSIONAL ANALYSIS Used for solving various...

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1 DIMENSIONAL ANALYSIS Used for solving various types problems - converting one unit to another (may be exact or measured) This needs conversion factors ( ratios) between the two units Example – relationship: 1 in = 2.54 cm For solving problems using this method, the bottom part (denominator) of the conversion factor should be the given unit. This allows us to cancel out the given unit . ¾ series of conversion factors may be necessary! Possible conversion factors : 1 in or 2.54 cm 2.54 cm 1 in Dimensional Analysis 1 : Write down the given and desired units 3. Write a conversion factor for each equivalence statement. 1 in 2 54 cm 2 : Write an equivalence statement for each relationship . 1 in = 2.54 cm 1 2.54 cm 2.54 1 in 4. Arrange the conversion factor(s) in such a way that the given unit cancels out and result would be in the desired unit . given x conversion factor = desired x given unit x = x y desired unit z y desired unit z given unit 2 : The relationship between the two units is: 1 in = 2.54 cm given 246.4 cms ; desired - ? in Example 1.

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