Calculating angular momentum of a sphere

AI Thread Summary
The discussion revolves around calculating the angular momentum of a solid steel sphere, with a mass of 0.2 kg and a density of 7.6 g/cm³, spinning on its axis. The user correctly calculated the angular velocity and moment of inertia but initially received feedback indicating an incorrect answer. It was later clarified that while the numerical result was accurate, the user had mistakenly entered the units incorrectly. The final answer should be presented in scientific notation with two significant digits, emphasizing the importance of proper unit representation in physics problems.
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I've tried this problem at least 10 times using the equations in my book and I keep getting the same answer. What am I doing wrong?

Homework Statement


A solid steel sphere of density 7.6 g/cm3
and
mass 0.2 kg spin on an axis through its center
with a period of 1.5 s.
Given Vsphere =4/3π^3, what is its angular momentum?
Answer in units of kg m2/s

Homework Equations


Angular momentum=Moment of inertia*angular velocity
Moment of inertia for a solid sphere=2/5MR^2
Volume=Mass/Density
Vsphere=4/3π^3
Angular velocity=2π/period

The Attempt at a Solution


Angular velocity=2π/1.5= 4.18879rad/s
Volume of sphere=.2kg/.0076kg/cm^3=26.3158cm^3
Radius of sphere=[26.3158cm^3/(4π/3)]^(1/3)=1.845197cm =0.01845197meters
I=(2/5)(.2kg)(0.01845197m)^2=.000027238 kg/m^2
Angular momentum=(.000027238kg/m^2)(4.18879rad/s)=0.000140973359kg/m^2/s

I thought my answer was correct but my university's homework page keeps telling me that is it wrong. Anyone know where I am going wrong in this problem?
 
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Nevermind, I guess I typed in the answer wrong. My solution was correct.
 
The numerical result is correct, but the unit is wrong. The unit of moment of inertia is kgm2. And give the result in normal form (scientific notation) with two significant digits.

ehild
 
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