Understanding Energy per Unit Weight: Solving the Equation for Height

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Homework Help Overview

The discussion centers around the interpretation of an equation referred to as equation 3-4, specifically regarding the concept of energy per unit weight in the context of fluid mechanics. Participants are examining the definition and units of the quantity γ (gamma), which is expressed as the product of density (ρ) and gravitational acceleration (g).

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the characterization of γ as energy per unit weight, noting that its units do not align with the traditional definition of weight. There is a request for additional context regarding equation 3-4 to clarify its application. Some participants suggest that γ represents weight density, prompting further exploration of the implications of this definition.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the relationship between pressure, weight density, and height. There is an acknowledgment that further information is needed to fully understand the equation in question. Some guidance has been offered regarding the interpretation of units, but no consensus has been reached.

Contextual Notes

Participants note the absence of specific details about equation 3-4, which is critical for a complete understanding of the discussion. The focus is on the definitions and implications of the terms used in the equation.

hotjohn
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Homework Statement


why the author said the equation 3-4 as energy per unit weight ?
as gamma = rho g , gamma has the unit of kg(m^-3)(ms^-2) = kg(m^-2)(s^-2) , gamma is clearly not weight ...

Homework Equations

The Attempt at a Solution

 

Attachments

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Beg your pardon?
 
hotjohn said:

Homework Statement


why the author said the equation 3-4 as energy per unit weight ?
as gamma = rho g , gamma has the unit of kg(m^-3)(ms^-2) = kg(m^-2)(s^-2) , gamma is clearly not weight ...

Homework Equations

The Attempt at a Solution

You'll have to supply some additional information about this equation 3-4, which is not included in your attachment.

The quantity γ = ρ ⋅ g is known as the weight density of the fluid, however.
 
hotjohn said:

Homework Statement


why the author said the equation 3-4 as energy per unit weight ?
as gamma = rho g , gamma has the unit of kg(m^-3)(ms^-2) = kg(m^-2)(s^-2) , gamma is clearly not weight ...

Homework Equations

The Attempt at a Solution

 

Attachments

  • 0025.PNG
    0025.PNG
    12 KB · Views: 643
SteamKing said:
You'll have to supply some additional information about this equation 3-4, which is not included in your attachment.

The quantity γ = ρ ⋅ g is known as the weight density of the fluid, however.
P / γ = height . right ? why is energy per unit weight ?
 
hotjohn said:
P / γ = height . right ? why is energy per unit weight ?
Work out the units on both sides of the equation.
 

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