Inertia and Momentum of Particle

In physics, the topic of inertia and momentum is a topic related to particles. The inertia of a particular particle is a quantitative measure that takes note of rotational bodies. It is particularly the study of torque and the opposing forces working on the body during its rotational movements. The axis involved in the rotation is either external or internal. Inertia momentum is represented as (I) and is related to the axis. Rotational inertia is applied to obtain the desired acceleration (angular) of the object. The momentum is defined as the multiplication of mass and the velocity of the particle. 

Inertia and Momentum

It is related to mass and how it is affected or affects the particle as it changes due to motion. Moment of inertia can also be summed up as net angular momentum. It is related to the angular velocity of an axis. It is mathematically represented as I = L/W where I – Rotational Inertia, L – angular momentum and W – Angular Velocity. Momentum is defined as the multiplication of mass and the velocity of the particle. Momentum is a vector quantity and is the sum of the vector in the system. The momentum is applied in topics such as relativistic velocities and relativistic mass. Momentum is represented by (p) and the SI unit is kg m/s. Momentum is mathematically represented as p = mv where p is momentum, m is mass and v is velocity. 

Inertia of Particle

In physics, inertia is defined as the tendency of a body to remain at rest or remain at motion without any changes. Inertia is essentially the resistance experienced by a body in its relative velocity changes. Inertia changes when an outside force is applied to it. It is from here that rotational inertia is derived. Rotational inertia is essentially a property of a rigid body that maintains its uniform motion of rotation. 

Momentum of Particle

To put it simply, the momentum of a particle is the product involving velocity and mass. The angular momentum formula is L = mvr (L= angular momentum, m = mass, v = velocity and r = radius).

Angular Momentum

Angular momentum is defined as a rotational analogue of momentum. Angular momentum is the conserved quantity and has magnitude as well as direction. Angular mathematics in certain advanced mathematics is also a pseudovector is a three-dimension. It is represented as (L) and has the S.I. unit of kg m2 s-1. Angular momentum can vary according to the substance of the body or the particle, be it a solid or a liquid. For fluid particles, net angular momentum = volume of angular density and the entire body. If there is no external torque then the angular momentum is conserved. The changes recorded here are sometimes referred to as twirl. Angular velocity can be divided into two distinct angular momenta which are:

• Spin angular Momentum (angular momentum around the body mass)
• Orbital Angular Momentum (angular momentum around the rotational center)

Conclusion

In the study of inertia or as it is more formally known- the moment of inertia, the axis is either fixed or unfixed. Inertia in respect to particles is the opposition or resistance acting on the particle during angular acceleration. It is represented as the product sum of mass and distance (square) calculated based on distance (rotational axis). The SI unit of inertia of particles is kg m2 and the dimension is ML2. The inertia of particles is important when calculating rotational kinematics.