Primary Dimension: Mass Units for Power, Pressure, Modulus, Angular Velocity

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Discussion Overview

The discussion revolves around determining the dimensions of various physical quantities (power, pressure, modulus of elasticity, angular velocity) using mass as the primary dimension. Participants explore the implications of this approach in both SI and English units, addressing confusion regarding the question's requirements.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses confusion about the question's intent, questioning the relevance of English units and the use of mass as a primary dimension.
  • Another participant suggests a dimensional representation for power as ML²/T³ and provides examples of SI (watt) and English units (foot-pound-horsepower).
  • A participant clarifies that force would be represented as ML/T² when mass is the primary dimension, contrasting it with the representation when force is the primary dimension.
  • There is a discussion about the notation for time units, with some participants advocating for uppercase T for time in dimensional analysis, while others suggest lowercase t is appropriate for variable representation.

Areas of Agreement / Disagreement

Participants generally agree on the dimensional representations but have differing views on the notation for time units and the clarity of the question being posed. The discussion remains unresolved regarding the best approach to express these dimensions.

Contextual Notes

Participants note that the question's phrasing may lead to confusion regarding the use of units and dimensions, particularly in distinguishing between SI and English units. There is also a lack of consensus on the appropriate notation for time in this context.

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Homework Statement


For each quantity listed, indicate dimensions using mass as a primary dimension and give typical SI and English units:
power
pressure
modulus of elasticity
angular velocity


Homework Equations





The Attempt at a Solution


im not sure i understand what it is asking for. There is another question asking the same thing but with "force" as primary dimension.
with mass being primary dimension, i guess it is referring to MLtT, but that is considered SI units isn't it? so wouldn't i just give examples of SI units? i don't see where english units come in, I am confused

an example of Power in SI is 1 watt = 1 J/s. would that be the correct answer for that part? I am sure this question is easy but I am not clear on what they are asking for
 
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jaredmt said:
For each quantity listed, indicate dimensions using mass as a primary dimension and give typical SI and English units:
power
pressure
modulus of elasticity
angular velocity

an example of Power in SI is 1 watt = 1 J/s. would that be the correct answer for that part? I am sure this question is easy but I am not clear on what they are asking for

Hi jaredmt! :smile:

I think they're asking for something like ML2/T3 (i made that up! :rolleyes:), watt (that's SI), and foot-pound-horsey-thingy (that's English, or imperial). :wink:
 
I agree with tiny-tim. So Force would be ML/T2 in this problem, but would simply be F when force (not mass) is a primary dimension.

Don't worry about whether length L is in meters or feet, that isn't relevant here.
 
I agree with Redbelly98, except T should be lowercase t.
 
Typically in problems like this, when one is expressing time units, an uppercase T is used. Just as uppercase M and L are used for mass and length units.

A lowercase t is used to express time as a variable in equations, but that is not what is being done here.
 
I agree with Redbelly98 :biggrin:
 

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