What is angular momentum?
Answer
565.5k+ views
Hint: Linear momentum, often known as translational momentum or simply momentum, is the product of an object's mass and velocity in Newtonian physics. It's a two-dimensional vector quantity with a magnitude and a direction. The momentum of an object is p = mv if m is its mass and v is its velocity (also a vector quantity).
Complete answer:
The rotational equivalent of linear momentum is angular momentum in physics. Because it is a conserved quantity—the total angular momentum of a closed system remains constant—it is a significant quantity in physics. The angular momentum of a point particle in three dimensions is a pseudovector $ r \times p $ , which is the cross product of the particle's position vector r (relative to some origin) and its momentum vector, which in Newtonian physics is p = mv. Because the particle's location is measured from the origin, angular momentum, unlike momentum, is dependent on where the origin is chosen.
There are two types of angular momentum for an object, similar to angular velocity: spin angular momentum and orbital angular momentum. Spin angular momentum is the angular momentum about the object's centre of mass, while orbital angular momentum is the angular momentum about a chosen centre of rotation. The sum of the spin and orbital angular momenta is the total angular momentum. A point particle's orbital angular momentum vector is always parallel and exactly proportional to its orbital angular velocity vector $ \omega $ , where the proportionality constant relies on both the particle's mass and its distance from the origin. A rigid body's spin angular momentum vector is proportional but not always parallel to its spin angular velocity vector $ \Omega $ , making the proportionality constant a second-rank tensor rather than a scalar. A rigid body's spin angular momentum vector is proportional but not always parallel to its spin angular velocity vector, making the proportionality constant a second-rank tensor rather than a scalar.
Note:
Angular momentum is a large number; every composite system's total angular momentum is equal to the sum of its constituent elements' angular momenta. Total angular momentum is the volume integral of angular momentum density (i.e. angular momentum per unit volume in the limit as volume decreases to zero) throughout the entire body for a continuous rigid body or a fluid.
Complete answer:
The rotational equivalent of linear momentum is angular momentum in physics. Because it is a conserved quantity—the total angular momentum of a closed system remains constant—it is a significant quantity in physics. The angular momentum of a point particle in three dimensions is a pseudovector $ r \times p $ , which is the cross product of the particle's position vector r (relative to some origin) and its momentum vector, which in Newtonian physics is p = mv. Because the particle's location is measured from the origin, angular momentum, unlike momentum, is dependent on where the origin is chosen.
There are two types of angular momentum for an object, similar to angular velocity: spin angular momentum and orbital angular momentum. Spin angular momentum is the angular momentum about the object's centre of mass, while orbital angular momentum is the angular momentum about a chosen centre of rotation. The sum of the spin and orbital angular momenta is the total angular momentum. A point particle's orbital angular momentum vector is always parallel and exactly proportional to its orbital angular velocity vector $ \omega $ , where the proportionality constant relies on both the particle's mass and its distance from the origin. A rigid body's spin angular momentum vector is proportional but not always parallel to its spin angular velocity vector $ \Omega $ , making the proportionality constant a second-rank tensor rather than a scalar. A rigid body's spin angular momentum vector is proportional but not always parallel to its spin angular velocity vector, making the proportionality constant a second-rank tensor rather than a scalar.
Note:
Angular momentum is a large number; every composite system's total angular momentum is equal to the sum of its constituent elements' angular momenta. Total angular momentum is the volume integral of angular momentum density (i.e. angular momentum per unit volume in the limit as volume decreases to zero) throughout the entire body for a continuous rigid body or a fluid.
Recently Updated Pages
If x a + bt + ct2 where x is in meters and t is in class 11 physics CBSE

A car covers the first half distance between two places class 11 physics CBSE

The resultant of two vectors overrightarrow P and overrightarrow class 11 physics CBSE

Find the value of cos 135 class 11 maths CBSE

A mass M is held in place by an applied force F and class 11 physics CBSE

A solution of glucose in water is labelled as 10 dfracwv class 11 chemistry CBSE

Trending doubts
One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Find the value of the expression given below sin 30circ class 11 maths CBSE

What do you mean by retardation What is its SI uni class 11 physics CBSE

Draw a diagram of nephron and explain its structur class 11 biology CBSE

10 examples of friction in our daily life

Difference between physical and chemical change class 11 chemistry CBSE

