Kinematics of Rotational Motion

[miamirulz29]

Homework Statement

A turntable that is initially at rest is set in
motion with a constant angular acceleration
α.
What is the magnitude of the angular ve-
locity of the turntable after it has made one
complete revolution?

Homework Equations

w(omega)^2 = w(omegeInitial)^2 +2α(delta)θ

The Attempt at a Solution

So then I used that because one revolution is equal to 2pi, I said w = sqrt. (4piα).
It is multiple choice and that is not one of the choices.
Here are the choices:
1. k~ωk = 2 π α
2. k~ωk = √2 π α
3. k~ωk = 2 α
4. k~ωk = 2√π α
5. k~ωk = √2 α
6. k~ωk = 4 π α
What am I doing wrong? Sorry if it is tough to read.

 

[rock.freak667]

Not sure if you typed out the choices properly,but you can simplify you answer even more since √(ab) = (√a)*(√b)

 

[miamirulz29]

Oh, I forgot to simplify, do it would be 2√π α

 

[rock.freak667]

Oh, I forgot to simplify, do it would be 2√π α

if you mean 2√(πα), then yes

 

[miamirulz29]

Yeah, that's what I meant. BTW, how do you type those symbols (I copy and pasted the symbols I could).

 

[rock.freak667]

Yeah, that's what I meant. BTW, how do you type those symbols (I copy and pasted the symbols I could).

If you meant LaTex, in the reply box click on the [itex]\sum[/tex] symbol and you will get the list of symbols.