Question

greg has a hoop and a solid cylinder, and wants to spin each around its axis of rotation. they have the same mass and radius. which object has more rotational inertia?

Answer 1

Both moments of inertia solid cylinder and hoop are the same.

We need to know the rotational inertia of a solid cylinder and hoop.

Solid cylinder inertia is given by

I = 1/2 x M x R²

Hoop cylinder inertia is given by

I = 1/2 x M x (R1 + R2)²

where I is a moment of inertia, M is mass, R is the total radius, R1 is central radius and R2 is skin radius.

The total radius can be defined by

R = R1 + R2

hence R² is

R = (R1 + R2)²

Substitute to solid cylinder inertia

I = 1/2 x M x R²

I = 1/2 x M x (R1 + R2)²

Hence, both moments of inertia solid cylinder and hoop are the same.

Find more on moment of inertia at: brainly.com/question/14460640

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