0
What else can I help you with?
What variables contribute to moment of inertia?
The axis about which the body is being rotated and the geometry of the body are important. The further away material (in terms of area) is from the centroid of the body the higher the moment of inertia will be, which is why an I-beam is good in bending. If it's the mass moment of inertia which is used in dynamics for Euler's angular momentum equation. Then the mass of the body is important. The further away mass is from the axis of rotation the greater the mass moment of inertia will be. This is why when a figure skater pulls their arms into her body during a spin she begins to spin faster. The mass of their arms is now closer to their axis of rotation lowering their mass moment of inertia and decreasing their resistance to rotation.
Moment of inertia and torsional vibrations?
in torsional vibrations moment of inertia is a very important determining factor. it is a quantitative measure of the resistance of an object to torsion. it is synonymous to mass in displacement systems. the greater the moment of inertia the lesser the degree of torsional vibrations and vice versa. moment of inertia relates torsional vibrations to the geometry of the part considered irrespective of its composing material and its strength.
In the flywheel experiment how would you provide a value for the moment of inertia of a toothed gear wheel?
For flywheel: J= ?/32 × d4 ×?steel × lYou can obtain a more accurate value by considering every single component ie. each gear, each boss etcThe apparent moment of inertia is J'=J/R2R is gear ratio ,?steel is 8000 kgm3 and obviously d is diameter, l is length.. ..
To design a building which type of moment of inertia you use about xaxis about yaxis or polar moment of inertia?
We use y_y axes
Define centroid and moment of inertia?
The centroid is the geometric centre of an object. Moment of inertia is a objects resistance to rotation and has the units kg.m^2
Why is most of the mass concentrated at the rim in a flywheel?
Most of the mass of a flywheel is concentrated at the rim so as to have a larger moment of inertia for the same mass. This is due to the fact that the moment of inertia varies as the square of the distance from the axis of rotation.
Why most of the mass is concentrated on rim in a flywheel?
Most of the mass of a flywheel is concentrated at the rim so as to have large moment of inertia for the same mass.This is due to the fact that the moment of inertia varies as the square of the distance from the axis of rotation.
Why is fly-wheel's mass mostly concentrated in its rim?
In rotating systems like a flywheel, how the mass is distributed is just as important as total mass. To maximize moment of inertia (the equivalent of inertial mass) you want the mass as far to the outside as possible. A flywheel of uniform thickness has only 60% the moment of inertia compared to one that's all rim.
What is the difference between mass moment of inertia and area moment of inertia?
Mass moment of inertia measures an object's resistance to rotational motion due to its mass distribution, while area moment of inertia measures an object's resistance to bending due to its shape and cross-sectional area. Mass moment of inertia depends on both the mass and its distribution, while area moment of inertia depends on the shape and how the material is distributed in the cross-section.
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.
Does the moments of Inertia change if center of mass change?
No, the moment of inertia of an object does not change with a change in its center of mass. The moment of inertia depends on the mass distribution and shape of an object, not its center of mass.
What is the relationship between the moment of inertia and center of mass for point particles?
The moment of inertia for point particles is directly related to their distance from the center of mass. The farther a point particle is from the center of mass, the greater its moment of inertia.
What is the moment of inertia for a hoop?
The moment of inertia for a hoop is equal to its mass multiplied by the square of its radius.
What is the moment of inertia of a rod with a mass attached at one end?
The moment of inertia of a rod with a mass attached at one end is calculated using the formula for a point mass at a distance from the axis of rotation. The moment of inertia of the rod itself is also considered in the calculation. The final moment of inertia depends on the mass of the rod, the mass attached at one end, and the distance of the mass from the axis of rotation.
How do you derive the moment of inertia of solid sphere?
mass moment of inertia for a solid sphere: I = (2 /5) * mass * radius2 (mass in kg, radius in metres)
How do you determine the moment of inertia?
The moment of inertia of an object depends on its mass distribution and shape. For simple shapes, such as a point mass or a solid cylinder, mathematical formulas can be used to calculate the moment of inertia. For complex shapes, numerical methods or integration techniques may be necessary to determine the moment of inertia.
Moment of inertia is a counter part of?
mass
