what is dimensionally consistent?

Question

owlfred · Answer

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anonymous · Answer

like a physical quantity ?

anonymous · Answer

dont kno la....

anonymous · Answer

means its dimensions don't change by any other external effect

anonymous · Answer

It's dimensions wouldn't warp.

anonymous · Answer

Dimensionally Consistent means that the units on both sides of an equation are equivalent.

For Example the equation for distance traveled is: $$v \times t = d$$
Where v is velocity, t is time and d is distance. Can write just the units for this equation as:
$$[Length] / [Time]  \times [Time] = [Length]$$
Because the the units for velocity are length over time. This simplifies to:
$$[Length] = [Length]$$
From which we can see that the units on both sides of the equation are the same when simplified, meaning they are equivalent.

anonymous · Answer

Dimensionally Consistent means that the units on both sides of an equation are equivalent as well as each term also have same units.