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A rotating body that spins about an external or internal axis (either fixed or unfixed) increase the moment of inertia.
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The moment of inertia of a solid cylinder is?
the moment of inertia of a solid cylinder about an axis passing through its COM and parallel to its length is mr2/2 where r is the radius.
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)
What is the Moment of Inertia of a Rectangle about the axis passed through its diagonal?
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What is meant by Radius of gyration?
It is the square root of ratio moment of inertia of the given axis to its mass.
How do you find out the moment of inertia of a plane area?
By integration. This means the plane is divided into small pieces, and the contribution of each individual piece to the moment of inertia is evaluated. There are mathematical methods to do this more or less easily - systematically, at least - for certain simple figures, and you can find the moment of inertial of many common figures published in lists.
How do you increase stiffness of a cantilever beam?
Increase the moment of inertia
Why moment of inertia is also called rotational inertia?
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.
How do you determine the moment of inertia?
How do to determine the moment of inertia of a cub
Mass moment of inertia of a disk?
Moment of Inertia of a disk (I) = 1/2MR2 Moment of Inertia of a disk (I) = 1/4MR2
What is the domensions for moment of inertia?
Dimensional formula of moment of inertia = [ML2T0 ]
What is meant by moment of inertia in Induction motors?
The second moment of a force is called as moment of inertia.
What happens to moment of inertia of thin rod when its length is doubled?
Since its length is doubled, the number of molecules present increase, resulting in an increase in mass of the rod. And we all know that mass is directly proportional to inertia, therefore the moment of inertia also increases.
What is the difference between mass moment of inertia and area moment of inertia?
mass moment of inertia is the property of the body to resist rotation about the given axis where as the area moment of inertia is the resistance to bending about the given axis
By what factor will the moment of inertia increase in the compact disck that is the same thickness as a current disk but twice the diameter?
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What is the unit for a polar moment of inertia?
Moment of inertia has unit kg m2
Mass moment of inertia of a flywheel?
define moment of inertia§ I is the moment of inertia of the mass about the center of rotation. The moment of inertia is the measure of resistance to torque applied on a spinning object (i.e. the higher the moment of inertia, the slower it will spin after being applied a given force).
Why does the coasting rotating system slow down as water drips into the beaker?
Ans : By the formula of moment of inertia , I=mr2 (2=square) As by the formula it is clear that the moment of inertia depends on the mass and the radius of a particular body , so as the mass increases moment of inertia will considerably increase , So as the water drips into the beaker the mass of the beaker will increase By the law of conservation of angular momentum Moment of inertia is inversely proportional to the angular velocity ( omega ) , Since in the above case of coasting rotating system moment of inertia is increased so the angular velocity (omega) will also decrease and hence the coasting rotating system will now rotate slowly as compared to its rotation before dripping water !
