Is the Moment of Inertia Calculation Correct for a Solid Sphere in Space?

In summary, the moment of inertia is a measure of an object's resistance to changes in rotational motion, calculated by multiplying the mass of an object by the square of its distance from the axis of rotation. It can be affected by the mass, distance, and shape of an object, and differs from an object's mass which is a measure of resistance to changes in linear motion. The moment of inertia can change if the mass distribution or axis of rotation is changed.
  • #1
jumbogala
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4

Homework Statement


A solid sphere of mass 2 kg and 5 m radius is in space. Find its moment of inertia.

Homework Equations

2
moment of inertia of a solid sphere about its diameter: [tex]\frac{2}{5}[/tex]MR2, where M is the mass of the sphere and R is its radius.

The Attempt at a Solution


I = mr^2 = (2 kg)(25 m^2) = 50 kgm^2

Is that right, or am I totally out to lunch? Seems too easy.
 
Last edited:
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  • #2
Yes that looks correct to me.
 

FAQ: Is the Moment of Inertia Calculation Correct for a Solid Sphere in Space?

1. What is the moment of inertia and why is it important in physics?

The moment of inertia is a measure of an object's resistance to changes in rotational motion. It is important in physics because it helps us understand how an object will behave when subjected to rotational forces.

2. How is the moment of inertia calculated?

The moment of inertia is calculated by multiplying the mass of an object by the square of its distance from the axis of rotation. It is also affected by the distribution of mass within the object.

3. What factors can affect the moment of inertia?

The moment of inertia can be affected by the mass of the object, the distance of the mass from the axis of rotation, and the shape and distribution of the mass within the object.

4. How does the moment of inertia differ from an object's mass?

The moment of inertia is a measure of an object's resistance to changes in rotational motion, while mass is a measure of an object's resistance to changes in linear motion.

5. Can the moment of inertia change for an object?

Yes, the moment of inertia can change if the mass distribution within an object changes or if the axis of rotation is changed. For example, the moment of inertia will be different for a solid sphere compared to a hollow sphere with the same mass and radius.

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