Moment of Inertia question (dead simple)

AI Thread Summary
The moment of inertia for a thin disk with a mass of 100g and a diameter of 20cm, calculated using the formula I=(1/2)MR², results in 0.0005 kg*m² or 5E-4. The radius is determined to be 10cm, and the thickness of the disk is considered irrelevant for this calculation as long as it remains symmetrical. Despite this calculation, the answer does not match any of the provided multiple-choice options. The options listed include 5E-6, 1E-7, 5E5, 2E-5, and 1E4, leading to confusion regarding the correct answer. The consensus among participants is that the calculated moment of inertia is indeed 5E-4.
heyall
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Homework Statement


A thin disk is 100g.
It's diameter is 20cm.
It's thickness is 2cm.

Rotation is about the central axis (ie. perpendicular to the symmetrical plane).
Answer in kg*m2

Homework Equations



I=(1/2)MR2
M is the mass
R is the radius
I is the moment of inertia

The Attempt at a Solution



R = half the diameter ∴ R = 10cm

I= (.5)(.1)(.1)2
I= 0.0005 = 5*10^-4


I don't think the thickness matters as long as it is symmetrical all around.

The reason I ask is because this question is a multiple choice question for marks, but the answer I found (0.0005) wasn't listed as one of the options. Thanks!
 
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heyall said:

Homework Statement


A thin disk is 100g.
It's diameter is 20cm.
It's thickness is 2cm.

Rotation is about the central axis (ie. perpendicular to the symmetrical plane).
Answer in kg*m2

Homework Equations



I=(1/2)MR2
M is the mass
R is the radius
I is the moment of inertia

The Attempt at a Solution



R = half the diameter ∴ R = 10cm

I= (.5)(.1)(.1)2
I= 0.0005 = 5*10^-4

I don't think the thickness matters as long as it is symmetrical all around.

The reason I ask is because this question is a multiple choice question for marks, but the answer I found (0.0005) wasn't listed as one of the options. Thanks!
What are the possible options?
 
5E-6
1E-7
5E5
2E-5
1E4

Where the letter E indicates scientific notation.
 
heyall said:
5E-6
1E-7
5E5
2E-5
1E4

Where the letter E indicates scientific notation.

I agree, it's 5E-4.
 
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