What does the unit kg•m² measure
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What does the unit kg•m² measure

[From: ] [author: ] [Date: 12-04-24] [Hit: ]
so kg∙m² cant be energy.Something with dimensions of mass times distance squared would be rotational inertia.For example,which will have units of kg∙m².Edit:climberguy12s moment of inertia and my rotational inertia are the same thing, just named differently.......
Does it measure energy?

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No. Think of a formula for some kind of energy, for example kinetic energy.

K = ½mv²

the units will be kg∙m²/s², which isn't the same as kg∙m², so kg∙m² can't be energy.

Something with dimensions of mass times distance squared would be rotational inertia. For example, the rotational inertia I of a thin ring of mass M and radius R about its symmetry axis is

I = ½MR²

which will have units of kg∙m².

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Edit: climberguy12's "moment of inertia" and my "rotational inertia" are the same thing, just named differently.

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Later Edit: I'm not sure what you mean by "What if the time was the same for two objects and it was cancelled out?" If you take a ratio of the same parameter for two objects, such as energy divided by energy, everything will cancel and you'll get a pure unitless number. Multiplying the energy of one object by the square of the time (what time?) of some other object doesn't make sense (at least, I can't think of a sensible meaning for this).

If you've done some calculation and gotten these units, let us know what it was, so we'll have a concrete example in front of us, and can give a more useful and relevant answer.

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I'm unclear what that big dot between kg and m^2 is supposed to be. Is it an arithmetic operator, like add, subtract, multiply, and divide?

If the dot = divide, then the measure is mass density over an area. If it's a multiplier, then they are consistent with the moment of inertia.

In any case, it's not...not...energy. Energy units are kg.(m/s)^2 in kms SI units. Note the use of the period, . , to adjoin the units.

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energy is kgm^2/s^2

the only thing i know of with those units is moment of inertia

gives a measure of an objects resistance to rotation

make it a good day

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It measures area density.
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