Unit when multiplied or squared

[K.Callaghan]

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]

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 ?

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.

 

[K.Callaghan]

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.

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?

Do the units change or remain the same.
I know this is a very silly question!

 

[SteamKing]

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?

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)?

Either way, the answer should be self-evident.

 

[Evo]

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 ?

Where is your attempt at solving this yourself?