Is I=Mk^2 the Same as I=mr^2 in Physics Nomenclature?

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In summary, when discussing the moment of inertia, it is important to clarify what r represents in the given equation. In this case, it is likely that r represents the radius of gyration, and the two equations are equivalent.
  • #1
SadPanda6022
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Hey guys, quick question.

I got confused in some nomenclature between some books and wanted to clarify somehow. A book I have has I=Mk^2 as defining a radius of gyration. Is this the same as I-mr^2?

Terminology was just confusing me.Thanks guys.
 
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  • #2
Oops, I meant I=mr^2.

apologies
 
  • #3
SadPanda6022 said:
A book I have has I=Mk^2 as defining a radius of gyration. Is this the same as I=mr^2?
It depends what r is supposed to be. Certainly
"I=Mk2, where M is mass, k is the radius of gyration and I is the moment of inertia about the mass centre"
is exactly the same as
"I=mr2, where m is mass, r is the radius of gyration and I is the moment of inertia about the mass centre".
But most writers reserve r to be a directly observable radius, such as the radius of a hoop or of a point mass in a circular orbit.
 

1. What is nomenclature?

Nomenclature is the system of naming organisms, chemicals, or other objects in a standardized way. It is used to establish a universal language for communication and identification in the scientific community.

2. Why is nomenclature important in science?

Nomenclature is important in science because it allows for clear and consistent communication among scientists. It also helps to avoid confusion and errors in research and ensures that everyone is using the same names for the same things.

3. Who is responsible for creating and maintaining nomenclature?

The responsibility of creating and maintaining nomenclature varies depending on the specific field of science. In biology, for example, the International Code of Nomenclature for algae, fungi, and plants (ICN) is responsible for establishing and maintaining the rules for naming plants and fungi. In chemistry, the International Union of Pure and Applied Chemistry (IUPAC) is responsible for naming chemicals.

4. What are the different types of nomenclature?

There are several different types of nomenclature, including binomial nomenclature, which is used to name species in biology; systematic nomenclature, which is used to name chemical compounds; and anatomical nomenclature, which is used to name different parts of the body in medicine and anatomy.

5. How is nomenclature different from taxonomy?

Nomenclature is the system of naming, while taxonomy is the science of classifying and categorizing organisms. Nomenclature is an important part of taxonomy, as it provides the standardized names for the different groups and species identified by taxonomists.

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