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You do the calculations, not with actual numbers, but with dimensions. For example, [length] + [length] = [length], [length] x [length] = [length]2, square root of [time]4 = [time]2, etc. In the final result, left and right of the equation have to be equal. For more information, search about dimensional analysis (for example, the Wikipedia article on dimensional analysis might help).

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Q: How can you tell if an equation is dimensionally correct?
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Related questions

A dimensionally incorrect equation may be correct?

no it can't be


You are told that the volume of an object of unknown shape is given by V equals where V is the volume and d is the diameter of the sphere Is this equation dimensionally correct?

Circle.


What do you mean when you say the that an equation is dimensionally correct?

It means that the dimensions of all terms agree with the basic rules of mathematical operations. It also means that only terms with the same dimensions are added or subtracted.


Is the equation 8kg 4kg 12kgs dimensionally correct?

Unfortunately, the browser used for posting questions is hopelessly inadequate for mathematics: it strips away most symbols. It is, therefore, impossible to be certain, but I suspect that the answer is yes.


Is it true that dimensional analysis can tell whether an equation is physically correct?

yes


Is mass times acceleration equals velocity squared dimensionally correct?

No. Fortunately, that equation doesn't appear anywhere in Physics. [mass] times [acceleration] has the dimensions [mass] x [length/time2], and that's exactly [force] which makes everything beautiful.


Is dimensionally correct equations necessarily be a physical relation?

No it's not. But to check the dimension is one of the first required steps.


Distance covered during nth second is not dimensionally correct .it comes out to be LT-1 but for distances it is only L?

in x direction


Which is the correct set of coefficient for the equation below?

The correct set of coefficient for an equation depends with the equation in question. There are many types of equations.


What are the disadvantages of oblique drawings?

Oblique cavalier drawings tend to appear distorted and elongated. They are not considered as true projections despite being dimensionally correct.


What is Planck's constant dimensionally equal to?

Planck's Constant is dimensionally equal to Angular Momentum. The unit is Joules second.


What are the disadvantages of oblique cavalier drawings?

Oblique cavalier drawings tend to appear distorted and elongated. They are not considered as true projections despite being dimensionally correct.