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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 hollow cylinder?
Through the axis of the circular end it is MR2, but the middle of the cylinder length wise is (1/2)MR2 + (1/12)ML2
What is the moment of inertia of a cylinder?
(1/2) mr2, assuming the axis of rotation goes through the center, and along the axis of symmetry.
What increase the moment of inertia?
A rotating body that spins about an external or internal axis (either fixed or unfixed) increase the moment of inertia.
What is the Moment of Inertia of a Rectangle about the axis passed through its diagonal?
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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.
What are the sources of error of the experiment of moment of inertia of solid cylinder?
Sources of error in the experiment of moment of inertia of a solid cylinder can include friction in the rotating system, inaccuracies in the measuring instruments such as rulers or calipers, variations in the dimensions of the cylinder, and errors in the calculation of the rotational inertia formula. Additionally, external factors like air resistance or vibrations can also introduce errors in the experiment.
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)
Moment of inertia of hollow cylinder?
The moment of inertia of a hollow cylinder is given by the formula I = 1/2 * m * (r_outer^2 + r_inner^2), where m is the mass of the cylinder, r_outer is the outer radius, and r_inner is the inner radius of the cylinder. This formula represents the distribution of mass around the axis of rotation.
How much moment of inertia require to turn the stationary cylinder into rotating motion?
Moment of inertia opposes turning anything! Besides which, the answer would depend on the mass of the cylinder as well as the which axis which it is meant to rotate around.
What is the Moment of inertia of a solid hemisphere?
The moment of inertia of a solid hemisphere rotating around its axis is given by (2/5) * m * r^2, where m is the mass of the hemisphere and r is the radius.
What is theMoment of inertia of a solid round shaft?
The moment of inertia of a solid round shaft is (\frac{π}{32} \times D^4), where D is the diameter of the shaft.
Why is moment of inertia of a solid disc smaller than that of a ring?
The moment of inertia of a solid disc is smaller than that of a ring because the mass in a disc is distributed closer to the axis of rotation, resulting in less resistance to changes in angular velocity. In a ring, the mass is distributed farther from the axis, increasing the moment of inertia.
What is moment of inertia of solid sphere about its diameter?
The moment of inertia of a solid sphere about its diameter is (2/5)MR^2, where M is the mass of the sphere and R is the radius. This can be derived from the formula for the moment of inertia of a solid sphere about its center, which is (2/5)MR^2, by applying the parallel axis theorem.
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 are the types of moment of force?
The types of moment of force are torque (or moment of force), bending moment, and twisting moment. Torque is the measure of the force causing an object to rotate around an axis, bending moment is the measure of the force causing an object to bend, and twisting moment is the measure of the force causing an object to twist.
