The moment of inertia of a solid sphere is (2/5)MR^2, where M is the mass and R is the radius.
This formula applies when the axis of rotation passes through the center of the sphere.
Speed = 3000 RPM (revolutions per minute)
Since 1 revolution = 2π radians:
50 rev/sec×2π= 100π radians/sec
For a rigid body that rotates about a fixed axis, the angle swept out by a line passing through any point on the body and intersecting the axis of rotation perpendicularly is called angular displacement.
The moment of inertia depends on the mass of the object,
how the mass is distributed relative to the axis of rotation,
and the axis of rotation itself,
but it does not depend on the angular velocity.
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