moment of inertia of a ring perpendicular to tangent and its plane
its includes 1. about any diameter
2. about a tangent in its plane
3. about a tangent perpendicular to its plane
Better
To find the moment of inertia of a ring perpendicular to the tangent and its plane, you can make use of the formula for the moment of inertia of a thin hoop or ring. The moment of inertia of a thin ring, also known as a hoop, can be given by the formula:
I = MR²
Where:
- I represents the moment of inertia.
- M is the mass of the ring.
- R is the radius of the ring.
In this case, since we want to find the moment of inertia of the ring perpendicular to the tangent and its plane, it means the axis of rotation is passing through the center of the ring and is perpendicular to the plane of the ring.
So, using the formula mentioned above, you can calculate the moment of inertia of the ring by knowing its mass (M) and radius (R). Simply multiply the mass by the square of the radius: I = MR².
Please note that units are important when using this formula. Make sure that both the mass and radius are in the same units before calculating the moment of inertia.