Does more angular monentum mean faster spin?

In summary, the conversation discusses the relationship between angular momentum and angular velocity in regards to the Earth and a top with different rotational inertia. It is concluded that the Earth cannot be deemed as spinning faster than the top solely based on its higher angular momentum, as the moment of inertia must also be taken into consideration.
  • #1
avito009
184
4
If a top has angular momentum of 12 units and the Earth has angular momentum of 100. Does this mean that Earth is spinning faster than the top since it has more angular momentum? The answer is there at the back of my head but can't articulate it.
 
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  • #2
No. Angular velocity tells you what spins faster.
 
  • #3
No. Angular momentum ( its magnitude) is the product of moment of inertia and the angular velocity. In your case the rotational inertia of the Earth and the top aren't equal, so you can't make the conclusion as you did.
 
Last edited:
  • #4
Aniruddha@94 said:
No. Angular velocity ( its magnitude) is the product of moment of inertia and the angular velocity. In your case the rotational inertia of the Earth and the top aren't equal, so you can't make the conclusion as you did.

A typo, there, it's Angular Momentum that you meant.
 
  • #5
sophiecentaur said:
A typo, there, it's Angular Momentum that you meant.
Aah yes, sorry.. I'll edit it. Thanks.
 
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  • #6
As everyone else has said, the answer is no. You could only draw the conclusion you draw if the objects are the same (same mass and distribution of mass). To be more precise, the moment of inertia needs to be the same. I think you could draw this conclusion from other posts, but I just wanted to be explicit.
 

Related to Does more angular monentum mean faster spin?

1. What is angular momentum?

Angular momentum is a measure of an object's rotational motion. It is defined as the product of an object's moment of inertia and its angular velocity.

2. How does angular momentum relate to spin?

Angular momentum is directly proportional to an object's spin. This means that the faster an object spins, the greater its angular momentum will be.

3. Is angular momentum the same as linear momentum?

No, angular momentum and linear momentum are different concepts. Linear momentum describes an object's motion in a straight line, while angular momentum describes an object's rotational motion.

4. Can an object have angular momentum without spinning?

Yes, an object can have angular momentum without spinning. This can occur when an object is moving in a curved path or when it has an angular velocity but no moment of inertia.

5. Does more angular momentum always mean faster spin?

Not necessarily. While angular momentum and spin are directly proportional, other factors such as mass and distribution of mass can also affect an object's angular velocity and therefore its spin.

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