The moment of inertia of a hollow cylinder about its central axis is given by wh

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Question: The moment of inertia of a hollow cylinder about its central axis is given by which formula?

Options:

Correct Answer: MR^2

Solution:

The moment of inertia of a hollow cylinder about its central axis is I = MR^2.

The moment of inertia of a hollow cylinder about its central axis is given by which formula?

The moment of inertia of a hollow cylinder about its central axis is given by which formula?

Step 1: Understand what a hollow cylinder is. It is a cylindrical shape that has an empty space in the middle.
Step 2: Identify the key components needed for the formula: M (mass of the cylinder) and R (radius of the cylinder).
Step 3: Recall the formula for the moment of inertia of a hollow cylinder about its central axis, which is I = MR^2.
Step 4: Recognize that this formula means the moment of inertia (I) depends on both the mass and the square of the radius.

Moment of Inertia – The moment of inertia is a measure of an object's resistance to rotational motion about an axis.
Hollow Cylinder – A hollow cylinder is a three-dimensional shape with a cylindrical shell and no mass in the center.
Central Axis – The central axis is the line that runs through the center of the cylinder, around which it rotates.