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A uniform solid sphere has mass m= 7 kg and radius r= 0. 4 m. What is its moment of inertia about an axis tangent to its surface?

Sagot :

Lanuel

The moment of inertia of a uniform solid sphere is equal to 0.448 [tex]kgm^2[/tex].

Given the following data:

Mass of sphere = 7 kg.

Radius of sphere = 0.4 meter.

How to calculate moment of inertia.

Mathematically, the moment of inertia of a solid sphere is given by this formula:

[tex]I=\frac{2}{5} mr^2[/tex]

Where:

  • I is the moment of inertia.
  • m is the mass.
  • r is the radius.

Substituting the given parameters into the formula, we have;

[tex]I=\frac{2}{5} \times 7 \times 0.4^2\\\\I=2.8 \times 0.16[/tex]

I = 0.448 [tex]kgm^2[/tex].

Read more on inertia here: https://brainly.com/question/3406242

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