Question regarding DIMENSIONAL ANALYSIS

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SUMMARY

Dimensional analysis is a critical tool for verifying the homogeneity of physical equations. The equation V=ut + at is not dimensionally homogeneous, leading to the conclusion that it is incorrect. In contrast, the valid equation v = u + at maintains dimensional consistency. This discussion emphasizes the importance of dimensional analysis in distinguishing valid equations from invalid ones.

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  • Ability to identify dimensional homogeneity
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wenxian
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we can use the dimensional analysis to check the homogeneity of a physical quantity.
based on the question : ''can the equation V=ut + at be correct? '', we know that the LHS isn't the same as the RHS..
since the equation is not dimensionally homogenous,so it can never be correct..(the answer tat i got)
does it mean this equation is wrong?
then why we r still using this equation?
:confused:
 
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wenxian said:
does it mean this equation is wrong?
Yes.
then why we r still using this equation?
You shouldn't be! Perhaps it just looks similar to one that is valid. Such as: v = u + at. (Note the differences.)
 
I agree, it is wrong.
This is the value of dimensional analysis
 

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