The discussion revolves around the manipulation of units in physics, specifically focusing on the effects of multiplication and squaring on units such as pounds-meters squared and radians per second squared. Participants explore hypothetical scenarios involving these units and question their transformations under various operations.
The discussion is ongoing, with participants seeking clarification on unit transformations and expressing uncertainty about the definitions of certain units. Some guidance has been offered regarding the nature of the questions, but there is no explicit consensus on the interpretations or outcomes.
There is a noted concern about mixing units from different measurement systems, and some participants express confusion regarding the specific units mentioned in the problem statements.
If you have a square which measures one meter on a side, what is the length of the sides of the square if you double that distance?K.Callaghan said:Homework Statement
Consider the following hypothetical question:
(5 lbs•m^2) =a
(5 rad/s^2) =b
If (a) and (b) are each multiplied by 2 what do the units become?
Similarly if (a) and (b) are squared what do the units become ?
SteamKing said:If you have a square which measures one meter on a side, what is the length of the sides of the square if you double that distance?
If a square measures 1 meter on a side, what is the area of the square? If a cube measures 1 meter on a side, what is its volume?
BTW, its not clear what kind of unit the lbs-m2 is. Is that supposed to be "pounds-mass" or "pounds-meter"?
Generally, it's not cool to use a mixture of units from different measurement systems.
Are you talking about squaring units of mass2, or are you talking about multiplication of units of mass2 by a constant value (for example, 2)?K.Callaghan said:Thanks for your reply! I don't think I was specific enough here, My question worded differently would be ;
if Mass^2 = kg^2
What would (mass^2 multiplied by 2)
= in its units?
Where is your attempt at solving this yourself?K.Callaghan said:Homework Statement
Consider the following hypothetical question:
(5 lbs•m^2) =a
(5 rad/s^2) =b
If (a) and (b) are each multiplied by 2 what do the units become?
Similarly if (a) and (b) are squared what do the units become ?