Does ω^2 Equal v^2/r^2 or (v/r)^2 in Angular Velocity Calculations?

[acat]

ok, if angual velocity ω = linear velocity v / radius r

therefore ω=v/r

but what if i have ω^2 ( to the power of 2 )

does ω^2=v^2/r^2

or does it eqaul ω^2=(v/r)^2

many thanks, this is really bugging me and preventing me solve a problem since I am not in class

 

[shriomtiwari]

it's same. moreover, if you are getting confused check it dimensionally.

 

[acat]

of course of course, thank you, gawd this is a hard problem I am working on, just making sure all the particulars are in the right place and where they should be as I am not managing to solve this at all, ill carry on though lol. thanks dude

 

[dimension10]

ok, if angual velocity ω = linear velocity v / radius r

therefore ω=v/r

but what if i have ω^2 ( to the power of 2 )

does ω^2=v^2/r^2

or does it eqaul ω^2=(v/r)^2

many thanks, this is really bugging me and preventing me solve a problem since I am not in class

They are the same.

 

[HallsofIvy]

Also this has nothing to do with "Linear and Abstract Algebra" so I am moving it to "General Math".