Calculating angular momentum of a sphere

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SUMMARY

The discussion focuses on calculating the angular momentum of a solid steel sphere with a density of 7.6 g/cm³ and a mass of 0.2 kg, spinning with a period of 1.5 seconds. The correct formula for angular momentum is established as the product of moment of inertia and angular velocity. The moment of inertia for a solid sphere is calculated using the formula I = (2/5)MR², and the angular velocity is derived from the period using ω = 2π/period. The final result for angular momentum is confirmed as 0.000140973359 kg m²/s, with the user realizing that the unit was incorrectly reported.

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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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