![]() ![]() Hence, the value of the moment of inertia of the hollow sphere is 0.4181 kg.m 2. ![]() Now, to solve this, we need to use the formula which is Let’s calculate the moment of inertia of a hollow sphere with a radius of 0.120 m, a mass of 55.0 kg The moment of inertia of a hollow sphere, otherwise called a spherical shell is determined often by the formula that is given below. The moment of inertia that belongs to a rigid composite system is given by the sum of moments of inertia of its component subsystems (all taken about the same axis). It is an extensive or additive property: for a point mass, simply, the moment of inertia is simply the mass times the square of the perpendicular distance to the axis of the rotation. It completely depends on the mass distribution of the body and the axis chosen, with larger moments requiring more torque to change the rate of rotation of the body. The moment of inertia is otherwise called the mass moment of inertia, or rotational inertia, angular mass of a rigid body, is a quantity, which determines the torque required for a desired angular acceleration around a rotational axis similar to how the mass determines force needed for the desired acceleration.
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