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The formula for calculating the inertia of a hoop is I MR2, where I is the inertia, M is the mass of the hoop, and R is the radius of the hoop.

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3mo ago

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What is the formula for calculating the moment of inertia of a hoop?

The formula for calculating the moment of inertia of a hoop is I MR2, where I is the moment of inertia, M is the mass of the hoop, and R is the radius of the hoop.


What is the hoop moment of inertia formula and how is it used in physics?

The formula for the hoop moment of inertia is I mr2, where I is the moment of inertia, m is the mass of the hoop, and r is the radius of the hoop. In physics, the moment of inertia is a measure of an object's resistance to changes in its rotational motion. It is used to calculate the rotational kinetic energy and angular momentum of a rotating hoop.


What is the formula for calculating the polar moment of inertia for a cylinder?

The formula for calculating the polar moment of inertia for a cylinder is I (/2) r4, where I is the polar moment of inertia and r is the radius of the cylinder.


What is the formula for calculating the polar moment of inertia of a cylinder?

The formula for calculating the polar moment of inertia of a cylinder is I (/2) r4, where r is the radius of the cylinder.


What is the formula for calculating the moment of inertia of a disk?

The formula for calculating the moment of inertia of a disk is I (1/2) m r2, where I is the moment of inertia, m is the mass of the disk, and r is the radius of the disk.


What is the formula for calculating the moment of inertia of a cantilever beam?

The formula for calculating the moment of inertia of a cantilever beam is I (1/3) b h3, where I is the moment of inertia, b is the width of the beam, and h is the height of the beam.


What is the formula for calculating the moment of inertia of a hollow sphere?

The formula for calculating the moment of inertia of a hollow sphere is I (2/3) m r2, where I is the moment of inertia, m is the mass of the sphere, and r is the radius of the sphere.


What is the formula for calculating the moment of inertia of a rolling cylinder?

The formula for calculating the moment of inertia of a rolling cylinder is I (1/2) m r2, where I is the moment of inertia, m is the mass of the cylinder, and r is the radius of the cylinder.


What is the formula for calculating the mass moment of inertia of a rectangle?

The formula for calculating the mass moment of inertia of a rectangle is I (1/12) m (a2 b2), where I is the mass moment of inertia, m is the mass of the rectangle, and a and b are the dimensions of the rectangle.


What is the formula for calculating the moment of inertia of a solid sphere?

The formula for calculating the moment of inertia of a solid sphere is (2/5) m r2, where m is the mass of the sphere and r is the radius of the sphere.


What is the formula for calculating the polar moment of inertia of a hollow cylinder?

The formula for calculating the polar moment of inertia of a hollow cylinder is J /2 (router4 - rinner4), where J is the polar moment of inertia, router is the outer radius of the cylinder, and rinner is the inner radius of the cylinder.


What is the moment of inertia of a hoop and how does it affect the rotational motion of the hoop?

The moment of inertia of a hoop is a measure of its resistance to changes in its rotational motion. It depends on the mass distribution of the hoop. A hoop with a larger moment of inertia will require more force to change its rotation speed compared to a hoop with a smaller moment of inertia. This means that a hoop with a larger moment of inertia will rotate more slowly for a given applied torque, while a hoop with a smaller moment of inertia will rotate more quickly.