Inertia and Wr^2 GD^2 and mr^2

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SUMMARY

The discussion focuses on the units of inertia, specifically moments of inertia for rotating bodies. Participants confirm that common units include kgfm² (GD²) and kgm² (mr²), with kgf representing kilogram-force, which is derived from gravitational acceleration. The correct SI unit for moment of inertia is established as kgm². The conversation clarifies that 'D' refers to diameter in the context of these units.

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knarl
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trying to figure out units for inertia.

am I right in saying some units for inertia are?:

imperial units - not interested (Wr^2)
kgfm^2 (GD^2)
kgm^2 (mr^2)

if so, what is the f and the G and the D?

Thanks for any help.
 
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knarl said:
trying to figure out units for inertia.

am I right in saying some units for inertia are?:

imperial units - not interested (Wr^2)
kgfm^2 (GD^2)
kgm^2 (mr^2)

if so, what is the f and the G and the D?
The units are that of mass: kg, g, lb, oz. Mass is a measure of the inertia of an object - the ratio of force to acceleration. Inertia = f/a = m

AM
 
sorry, I meant moments of intertia. ie for a rotating body. It's just really the f that is putting me off.
 
That's an ancient (b4 1961) unit for force.It's Kgf=Kilogram-force...The gravitational acceleration (average) at the surface of the Earth times 1Kg.That explains G...As for D,i guess it's probably distance (?)...

The last of the 3 units presented is the correct (SI-mKgs) one.

Daniel.
 
knarl said:
sorry, I meant moments of intertia. ie for a rotating body. It's just really the f that is putting me off.
Ok. Just use I = \tau/\alpha.

Since torque is in units of force * distance or Nm, and \alpha is rad/sec^{2}, the units are Nmsec^2 (or kgm^2 since N = kgm/sec^2). As dexter says, kgf is kilograms force which is 1 kg x 9.8m/sec^2.

AM
 
thanks guys, I had a hunch that was what the f was. And the D is diameter.

knarl.
 
Weight times diameter doesn't make any sense...Even elimination would lead you to the correct answer.

Daniel.
 

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