Question regarding DIMENSIONAL ANALYSIS

So, in summary, we can use dimensional analysis to check the homogeneity of a physical quantity and determine if an equation is correct or not. In this case, the equation V=ut + at is not dimensionally homogenous and therefore incorrect. However, it may still be used due to its similarity to a valid equation, v = u + at.
  • #1
wenxian
12
0
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:
 
Physics news on Phys.org
  • #2
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.)
 
  • #3
I agree, it is wrong.
This is the value of dimensional analysis
 

1. What is dimensional analysis?

Dimensional analysis is a mathematical method used to convert between different units of measurement and to check the consistency of equations. It involves using the dimensions (such as length, time, mass, etc.) of physical quantities to perform calculations.

2. Why is dimensional analysis important in science?

Dimensional analysis is important in science because it allows for the conversion of measurements between different systems and units, which is essential for accurately interpreting data and conducting experiments. It also helps to identify errors in equations and verify their consistency.

3. How is dimensional analysis used in chemistry?

Dimensional analysis is commonly used in chemistry to convert between different units of measurement, such as from grams to moles, in order to accurately measure and calculate chemical reactions and properties. It is also used to check the units of equations and ensure that they are consistent.

4. Can dimensional analysis be used in other fields besides science?

Yes, dimensional analysis can also be used in engineering, mathematics, and economics, among other fields. It is a versatile tool that can be applied to any situation involving units of measurement and equations.

5. What are some common mistakes to avoid when using dimensional analysis?

Some common mistakes to avoid when using dimensional analysis include forgetting to include units in calculations, using incorrect conversion factors, and not cancelling out units correctly. It is important to double check all calculations and be familiar with the units being used.

Similar threads

I Is "nondimensionalization" a misnomer?
    • Other Physics Topics
Replies
19
Views
1K
A question on Dimensional Analysis
    • Other Physics Topics
Replies
6
Views
5K
How does dimensional analysis account for additive variables in equations?
    • Other Physics Topics
Replies
1
Views
1K
Insights Learn the Basics of Dimensional Analysis
    • Classical Physics
Replies
7
Views
2K
I Using Dimensional Analysis to derive an equation (Walter Lewin video)
    • Classical Physics
Replies
5
Views
1K
B What exactly is Dimensional Analysis?
    • Classical Physics
Replies
2
Views
818
I Uncertainty Analysis: Understanding Errors in Quantity Measurements
    • Other Physics Topics
Replies
3
Views
1K
Temperature difference by Dimensional analysis.
    • Advanced Physics Homework Help
Replies
2
Views
865
A What is Dimensional Transmutation?
    • High Energy, Nuclear, Particle Physics
Replies
1
Views
971
Dimensional Analysis: Forster Energy Transfer equation
    • Introductory Physics Homework Help
Replies
2
Views
761

Hot Threads

Recent Insights

Back
Top