How Do You Calculate Constant Angular Acceleration?

[rambo5330]

Homework Statement

A rotating wheel requires 3.00 s to rotate 232.5 rads. It's angular velocity at the end of the 3.00 s interval is 98 rad/s. whatis the constant angular acceleration of the wheel?

Homework Equations

Not sure

The Attempt at a Solution

Is this question more complex than it looks or what am I missing, I have solved it by useing the equation
Wfinal² = Winitial² +2(angular accel)(angular displacement)

and subbing in the value of angular accel with the formula (Wfinal - Winitial/T)

then useing the quadratic formula to solve ,
I get the right answer but it seems cumbersome, what are your thoughts?

 

[jegues]

Constant acceleration. What you're doing is correct.

I would have used the following equation though.

Wf = Wo + (angular accel)t

 

[rambo5330]

when I use the equation you recommend

Wf = Wo + (angular accel)t

and sub in angular accel = (wf - w0 / t ) everything cancels and I am left with wf = wf

Been studying non stop my brain may be fried, what am I missing?

is it because that equation does not invole angular displacement?

 

[jegues]

Sorry i misinterpreted the question. Wo = Wf - (a)t ; Also,

Wo = sqr(wf^2-2(a)d); So,

Wf - (a)t = sqr(wf^2 - 2(a)d)

Solve (a).

 

[rambo5330]

Thanks for clarifying that !

 

[jegues]

Note that if you isolate (a) in both equations then solve Wo and use Wo to solve (a) it will still work.

It's just that method requires back substitution, which takes longer (and more algebra ;) ).

If you know what you're looking for you can usually shorten the process up!

 

[rambo5330]

Found the easy way... Wave = (Wf + W0)/2
so (Wave * 2) - Wf = W0

(Wf - W0 )/ T = Angular Accel