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What is the relationship between Moment of inertia and radius of gyration?
I believe it is I = mk^2 where k is radius of gyration and m is mass.
What is physical significance of radius of gyration?
Basically radius of gyration of a substance is defined as that distance from the axis of rotation from which if equivalent mass that of the substance is kept will have exactly the same moment of inertia about that axis of the substance.
Two spheres are cut from a certain uniform rock One has radius 4.15 cm The mass of the other is six times greater Find its radius?
Provided they are the same thickness, the larger sphere will have a radius of 10.165cm
How do you find the volume of a marble?
To find the volume of a marble, you would use the formula for the volume of a sphere, which is V = (4/3)πr^3, where V is the volume and r is the radius of the marble. Measure the diameter of the marble and divide it by 2 to get the radius. Then, plug the radius into the formula to calculate the volume of the marble in cubic units.
How do you find mass of a sphere when only radius is given?
Volume of a sphere = 4/3*pi*radius3 Surface area of a sphere = 4*pi*radius2
THE MOMENT OF INERTIA OF A RING ABOUT ONE OF ITS DIAMETERIS L .ITS Moment of inertia about a tangent parallel to the diameter IS?
(1/2)mr^2 where m=mass r=radius
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.
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 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 formula for calculating the moment of inertia of a hoop?
The formula for calculating the moment of inertia of a hoop is I MR2, where I is the moment of inertia, M is the mass of the hoop, and R is the radius of the hoop.
What is the moment of inertia of a disk about the edge?
The moment of inertia of a disk about its edge is equal to half of the mass of the disk multiplied by the square of its radius.
What is the formula for calculating the moment of inertia of a disk?
The formula for calculating the moment of inertia of a disk is I (1/2) m r2, where I is the moment of inertia, m is the mass of the disk, and r is the radius of the disk.
What is the moment of inertia of a hoop?
The moment of inertia of a hoop is equal to its mass multiplied by the square of its radius. It represents the resistance of the hoop to changes in its rotational motion.
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.
Mass moment of inertia of a disk?
The mass moment of inertia of a disk is given by the equation I = (m * r^2) / 2, where m is the mass of the disk and r is the radius. This equation represents the resistance of the disk to rotational motion around its center.
What is the formula for calculating the moment of inertia of a hollow sphere?
The formula for calculating the moment of inertia of a hollow sphere is I (2/3) m r2, where I is the moment of inertia, m is the mass of the sphere, and r is the radius of the sphere.
What is the formula for calculating the moment of inertia of a rolling cylinder?
The formula for calculating the moment of inertia of a rolling cylinder is I (1/2) m r2, where I is the moment of inertia, m is the mass of the cylinder, and r is the radius of the cylinder.
