Dimensions of Force, Pressure: F, p

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Homework Help Overview

The discussion revolves around determining the dimensions of physical quantities, specifically force and pressure, using fundamental dimensions of length (L), time (T), and mass (M). Participants are interpreting the question and attempting to express these quantities in terms of the specified dimensions.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to express force and pressure in terms of L, T, and M. There are questions about how to correctly define acceleration and area in these terms.

Discussion Status

Some participants are providing interpretations of the problem, while others are questioning the correctness of the expressions being formulated. There is an ongoing exploration of the definitions and relationships between the quantities involved.

Contextual Notes

One participant expresses confusion about the question's requirements, indicating a potential lack of clarity in the problem statement. There are also discussions about the dimensionality of area and the correct formulation of force.

you_of_eh
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From the following defining equations, determine the dimensions of the names physical quantities. Use L to represent the dimension length (distance), T to represent time and M to represent mass.

a) force, F: F=ma, (where m is mass and a is acceleration)
b) pressure, p: p=F/A, (where F is a force (see previous question) and A is an area)

-I can't even attempt to solve this question as I have no idea what the question is asking for.
 
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The question is asking you to write force and pressure all in terms of the units L, T, and M. So for example, velocity is L/T.
 
OK so..

a) would be.. F=M(deltaL/deltaT) ?
b) how can I define A using only L, M or T?
 
No. Think about what you have written for force. That is saying that force is equal to mass times velocity. That is not correct. For part b, an area is simply two dimensions of length.
 
I still don't think I understand because this does not seem correct but..

a) F=M*d(L/T)/dT ?
b) p=M*d(L/T)/dT/L^2 ?
 

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