Calculate the angular momentum of a solid uniform sphere

[raiderIV]

Homework Statement

Calculate the angular momentum of a solid uniform sphere with a radius of 0.120m and a mass of 14.0kg if it is rotating at 6.00^rad/_s about an axis through its center.

Homework Equations

Angular Momentum = I * w
I = ^mass*radius2/₂
w = 6.00^rad/_s

The Attempt at a Solution

When using the formulas above i am obtaining the answer 0.1008 however, that is not the correct answer. Any Ideas?

Edit: I also know that the answer needs to be in ^{kg * m2}/_s

 

[stanton]

always take a careful look at question and gather all the information and equations you know to solve this problem. Maybe you can change a little bit of equations or connect them together and you will get it.
L = I*ω
Plug values given:
0.5mr²*ω = 0.5*14*.12²*6.00= ____ kg∙m^2/s
And the answer is 0.6048.
yup. looks good to me! hope this helps.
And by the way, just guessing, do you also need to calculate the KE for that?

 

[raiderIV]

always take a careful look at question and gather all the information and equations you know to solve this problem. Maybe you can change a little bit of equations or connect them together and you will get it.
L = I*ω
Plug values given:
0.4mr²*ω = 0.4*14*.12²*6.00 = ____ kg∙m^2/s
And the answer is 0.48384.
yup. looks good to me! hope this helps. And try this again on your own.
And by the way, just guessing, do you also need to calculate the KE for that?

Yup... I see what i did wrong... in every calculation i did i was thinking cylinder for I instead of sphere. Thank you. And yes I do have to find the KE which turns out to be 1.45J

Thanks again for the help,
~John

 

[stanton]

Wait. I revised my answer because there were some error. Please refer to that. Sorry about that...
[0.5mr²*ω = 0.5*14*.12²*6.00= ____ kg∙m^2/s
And the answer is 0.6048.]
This is right. I calculated 0.4 instead of 0.5
And I am glad my answer was helpful. :) Have a nice day!

 

[raiderIV]

Wait. I revised my answer because there were some error. Please refer to that. Sorry about that...
[0.5mr²*ω = 0.5*14*.12²*6.00= ____ kg∙m^2/s
And the answer is 0.6048.]
This is right. I calculated 0.4 instead of 0.5
And I am glad my answer was helpful. :) Have a nice day!

Your first answer was correct because the moment of inertia for a sphere is ²/₅mr²

So you did it correctly, and thanks again ^_^