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

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SUMMARY

The discussion focuses on determining the dimensions of power, pressure, modulus of elasticity, and angular velocity using mass as the primary dimension. Participants clarify that the dimensional representation for power is ML²/T³, with SI units being watts (1 watt = 1 J/s) and English units potentially being foot-pounds. The conversation emphasizes the importance of distinguishing between uppercase and lowercase letters in dimensional analysis, particularly regarding time representation.

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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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