Answer #1:
The Rotational Inertia of an object increases as the mass "increases" and the
distance of the mass from the center of rotation "decreases".
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Answer #2:
If Answer #1 were correct, then flywheels would be made as small as possible,
and a marble would be harder to spin than a wagon wheel is.
An object's rotational inertia (moment of inertia) increases in direct proportion
to its mass, and increases in proportion to the square of the distance of the
mass from the center of rotation.
That's what it's all about: about rotation. The "inertia" part is because it is comparable to the linear inertia: that's what makes it difficult to change an object's rotation.
the equation for rotational kinetic energy (KE) is:.KE = 0.5 * I * ((rad / sec)^2), where I is the mass moment of inertia..so if the kinetic energy remains constant, the only thing that can alter the rotation rate (rad / sec), is I, the mass moment of inertia
The physical quantity for rotations corresponding to inertia is the moment of inertia, or rotational inertia. It is represented by the integral of r^2dm.
The object's angular momentum
Mass and radius
Because it is a measure of the "resistence" of an object to be accelerated in its rotation. An object with a big moment of inertia is more difficult to increase/decrease its angular velocity (speed of rotation), than an object with a low moment of inertia.
That's what it's all about: about rotation. The "inertia" part is because it is comparable to the linear inertia: that's what makes it difficult to change an object's rotation.
The mass, and how it is distributed- how far the masses are on average from the axis of rotation. However, it is the square of the distance that counts in this case.
Yes, having long legs can enhance rotational inertia because the mass of the legs is distributed further from the axis of rotation, increasing the moment of inertia. This can provide more stability and control in activities that involve rotation, such as gymnastics or diving.
No. For the rotational inertia, the distribution of masses is relevant. Mass further from the axis of rotation contributes more to the rotational inertial than mass that is closer to it.
YES. Infact, an object can have infinitely different moment of inertias. It all depends on the axis about which it it rotating. You can allow an object to rotate about any axis (this may or may not pass through the object).
One common use of this unit is rotational inertia, which has units of mass x distance squared, i.e. in the metric system, kilogram meters squared. Rotational inertia is analogous to mass, but is relevant to rotation rather than straight line motion.There are probably a number of other uses for this unit, but this is one of the most common.
mass for linear motion and in rotational motion it depends on the distribution of mass about the axis of rotation ................................................GhO$t
Rotational inertia is sometimes called spin. It involves the movement of a mass around an axis. This moving mass will have some measure of kinetic energy that is due to the fact that it is spinning. The variables are the shape and the mass of the object, the way the mass is distributed within the object, the speed of its rotation, and the location of the axis of spin through the object. The moment of inertia might also be called angular mass, mass moment of inertia, rotational inertia, or polar moment of inertia of mass. Use the link below for more information.
the equation for rotational kinetic energy (KE) is:.KE = 0.5 * I * ((rad / sec)^2), where I is the mass moment of inertia..so if the kinetic energy remains constant, the only thing that can alter the rotation rate (rad / sec), is I, the mass moment of inertia
The physical quantity for rotations corresponding to inertia is the moment of inertia, or rotational inertia. It is represented by the integral of r^2dm.
The object's angular momentum