mass moment of inertia of a circle equation

Torque can be defined as the rate of change of angular momentum, analogous to force. angular momentum per unit volume in the limit as volume shrinks to zero) over the entire body. For a continuous rigid body or a fluid the total angular momentum is the volume integral of angular momentum density (i.e.

the total angular momentum of any composite system is the sum of the angular momenta of its constituent parts. The spin angular momentum vector of a rigid body is proportional but not always parallel to the spin angular velocity vector Ω, making the constant of proportionality a second-rank tensor rather than a scalar.Īngular momentum is an extensive quantity i.e. The orbital angular momentum vector of a point particle is always parallel and directly proportional to its orbital angular velocity vector ω, where the constant of proportionality depends on both the mass of the particle and its distance from origin. The total angular momentum is the sum of the spin and orbital angular momenta. Just as for angular velocity, there are two special types of angular momentum of an object: the spin angular momentum is the angular momentum about the object's centre of mass, while the orbital angular momentum is the angular momentum about a chosen center of rotation. Unlike momentum, angular momentum depends on where the origin is chosen, since the particle's position is measured from it. In three dimensions, the angular momentum for a point particle is a pseudovector r × p, the cross product of the particle's position vector r (relative to some origin) and its momentum vector the latter is p = m v in Newtonian mechanics. It is an important quantity in physics because it is a conserved quantity-the total angular momentum of a closed system remains constant. In physics, angular momentum (rarely, moment of momentum or rotational momentum) is the rotational equivalent of linear momentum.

Mass moment of inertia of a circle equation