- #1

camillevoll

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I am confused on what to write for the dimensions of q. Would it be m/L^3 as in mass/volume?

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In summary: The dimensions of pressure are m/((LT)^2) and the dimensions of density are m/L^3. To determine the values of b and c, we can use the Buckingham Pi Theorem.

- #1

camillevoll

- 3

- 0

I am confused on what to write for the dimensions of q. Would it be m/L^3 as in mass/volume?

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- #2

berkeman

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camillevoll said:

I am confused on what to write for the dimensions of q. Would it be m/L^3 as in mass/volume?

Welcome to the PF.

Could you add some parenthesis to your equation to eliminate the ambiguities?

"v=ap^bq^c"

- #3

camillevoll

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v=a(p^b)(q^c)

- #4

berkeman

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camillevoll said:v=a(p^b)(q^c)

Ah, that helps. Now can you fill in the units for each term? I usually use square brackets to indicate the units like v[m/s].

- #5

camillevoll

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v=[L/T], p=[M]/[L][T^2]

- #6

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Read up on the Buckingham Pi Theorem. That is what is involved here.

Chet

Chet

A dimension problem is a type of mathematical problem that involves finding the measurement or size of an object or space. This can include measurements such as length, width, height, area, or volume. Dimension problems often require the use of formulas and equations to solve.

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