Derivations of dimensions problem

AI Thread Summary
The discussion centers on a dimensional analysis problem where the derivation presented in a textbook is questioned for its correctness. The specific equation in focus is √[L]/[L/T^2], which participants clarify simplifies to √[T^2]. The explanation involves multiplying both sides by T^2 to demonstrate the equality. The conversation highlights the need for clearer explanations in textbooks regarding dimensional derivations. Understanding these steps is crucial for solving similar problems in physics.
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Homework Statement


Dimensions: These derivations are not correct ( as stated by the book)

I'm just reading my textbook at the moment and I saw this example ( So I don't have work for it myself by the book shows all the steps).

***√[L]/[L/T^2] =√[T^2]


Homework Equations





The Attempt at a Solution



I just want this to be explained as the book does not explain it, it just shows steps.

How does***√[L]/[L/T^2] equal √[T^2]?
 
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Do you mean <br /> \sqrt {\frac{{[L]}}{{\frac{{[L]}}{{[T]^2 }}}}} ??
 


Yes.
 


<br /> \frac{L}{L/T^2}<br />

Multiply both sides by T^2, simply, and you'll get the answer.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

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