<P> The moment of inertia , otherwise known as the angular mass or rotational inertia , of a rigid body is a tensor that determines the torque needed for a desired angular acceleration about a rotational axis . It depends on the body 's mass distribution and the axis chosen , with larger moments requiring more torque to change the body 's rotation . It is an extensive ( additive ) property : For a point mass the moment of inertia is just the mass times the square of perpendicular distance to the rotation axis . The moment of inertia of a rigid composite system is the sum of the moments of inertia of its component subsystems ( all taken about the same axis ) . One of its definitions is the second moment of mass with respect to distance from an axis r , I = ∫ Q r 2 d m ( \ displaystyle I = \ int _ ( Q ) r ^ ( 2 ) \ mathrm ( d ) m ) , integrating over the entire mass Q ( \ displaystyle Q ) . </P>
<P> The moment of inertia , otherwise known as the angular mass or rotational inertia , of a rigid body is a tensor that determines the torque needed for a desired angular acceleration about a rotational axis . It depends on the body 's mass distribution and the axis chosen , with larger moments requiring more torque to change the body 's rotation . It is an extensive ( additive ) property : For a point mass the moment of inertia is just the mass times the square of perpendicular distance to the rotation axis . The moment of inertia of a rigid composite system is the sum of the moments of inertia of its component subsystems ( all taken about the same axis ) . One of its definitions is the second moment of mass with respect to distance from an axis r , I = ∫ Q r 2 d m ( \ displaystyle I = \ int _ ( Q ) r ^ ( 2 ) \ mathrm ( d ) m ) , integrating over the entire mass Q ( \ displaystyle Q ) . </P>
what is the significance of mass moment of inertia
what is the significance of mass moment of inertia
determines the torque needed for a desired angular acceleration about a rotational axis
determines the torque needed for a desired angular acceleration about a rotational axis