The angular momentum of a body is its rotational velocity, at any given point in time, multiplied by its moment of inertia.
Moment of inertia (I) is the measure of a body’s resistance to changes in rotation or tumbling motion about an axis from its position. Moment of inertia depends on the distribution of mass about that axis.
It can be thought as how much effort would be needed to change it or stop it from rotating if external forces are not applied to it either way; so for example a spinning top has greater moment compared with an ice skater doing a spin because both have the same linear speed but one’s distance depends on using up kinetic energy and slowing down from friction while the other one stays in the same radius and doesn’t lose speed.
I = (r * m * g) / (2 * r)
r is radius of curvy body;
m is mass; and
g is gravity.
Units of angular momentum are usually expressed as kg* m2/s. This is Newtons seconds, which are the International System of Units (SI) for measuring kilogram-meters-squared per second or torque.
Angular momenta can be anything along an axis. They can be found in Newton’s Second Law, and they’re usually defined in relation to a particular point through multiplication with a rotational coefficient such that L = r p where L is the angular momentum about some axis and r p represents the distance from that axis to a particle situated at some position with respect to it when integrating over time.
Angular momentum units are used by astronomers to measure the speed of rotation within elliptical galaxies.
angular momentum units = kilo-parsecs per hour
In astronomy, the unit of angular velocity is a measure of how fast something moves in linear dimension per second or, equivalently, how far an object travels in circular dimensions when it completes one turn (360 °) or one revolution. This is often expressed as whole radians per second to avoid ambiguity and to distinguish it from angular velocity in other contexts such as rotational dynamics. Units like “μas” (microradians) and “mas” (milliradians) are also used. Since Earth’s equatorial circumference is about 40 000 km and the period of one revolution along it is about 3600 seconds, this unit may be conveniently expressed as 360 km/h. Thus, the linear speed of light (in vacuum) is measured to be approximately 2.9979×10^8 km/s or 186 000 mph or 300 000 km/h .
Angular momentum is a fundamental concept in classical physics, but its concrete physical meaning can vary according to the context. The symbol for angular momentum is usually denoted as J and spelled as “momentum”.
Angular Momentum Units are metric units of angular velocity. One unit of angular momentum equals 1 kiloPascal-seconds (ksp-s). In American Engineering Measurement Units, one unit of angular momenta equals 6.8349584 dB-in2-s1/4 or approximately 850 femtometers per square second (mn/sq) or 1750 microradians per square second (μrad/sq).
In physics, angular momentum is a quantity that can be used to characterize the balance of rotational motion. When looking at an object rotating about its axis, there are two types of angular momentum involved:
- the rotation along (or perpendicular to) the axis and
- rotation around or parallel to the axis as well.
The first term in this equation is know as ‘momentum’, while the second term is called ‘torque’. This property of objects in circular motion was described by Issac Newton in his book “Principia Mathematica” when he stated “The vis insita, or innate force of matter…on revolving with an uniform velocity (as trochoids), tended perpetually to continue that motion in the same direction in which it was begun”. For this purpose, he introduced into mechanics three important laws, that can be remembered by the letters “I.A.”, representing respectively:
- The law of Inertia – It states that “…every body perseveres for ever in its state either of rest or uniform motion unless acted upon by some external force”
- The law of acceleration – “The alteration of motion is ever proportional to the motive force impressed; and is made in the direction of the straight line in which that force tends”. This means that “If a body A were struck by two forces F1 and F2, where F1 > F2, then, impressed on this body were a force 2F1 – F2”.
- The law of action and reaction – This states that “To every action there is always opposed an equal reaction: or, the mutual actions of two bodies upon each other are always equal and directed to contrary parts”.
Every force acts through a distance. This means that a force applied for a certain time will produce an acceleration. According to classical formulations of mechanics, i.e., Newton’s theories of motion , the magnitude of this acceleration is proportional to the force and inversely proportional to the mass of the object. In addition, angular momentum has been shown as a product of both rotation rate and radius (See equation (1)). “The angular momentum L is defined by the product of the moment of momentum, p×L = m×r ×v”.
m – Mass of object
r – Radius of rotation/distance between two objects in orbit.
v – Velocity
Angular momentum is a physical quantity that relates to something’s moment of inertia and rotational speed. Angular momentum can be quantified by the position vector r of an object with respect to some origin, multiplied formula_1 (angular velocity), or alternatively as the moment of inertia times its angular acceleration.
The SI unit for measuring angular momentum is Newton meter squared per kilogram, which is typically shortened to just newton-meter-squared.
This cancels out since both are meters so it then becomes kilograms times newtons over seconds squared.
Angular momentum is a vector quantity. It’s the product of mass and velocity, so it measures both how much stuff moving that has a given velocity (momentum) and in what direction. If a ball were spinning very quickly on its axis, then it would have angular momentum about its center that could be measured in Newton-seconds.
An angular unit is an arbitrary unit, which specifies the magnitude of angular displacement as well as spatial displacement from some origin point to a specified area or volume within it (for example, angular units may specify the angle between straight lines drawn from two points to determine length). So I suppose you could say that one eye bulging out is worth 1/6 of an eye bulging out.
Angular momentum units are a measure of the rotation speed of an object.
An object’s angular velocity depends on two things; it depends on the length of its radius and it also depend on how fast its going in either direction around the circle. It can be either clockwise or counter-clockwise, so we have to add both up to get this final number. One angular momentum unit equals 1 radian per second.
Angular momentum is a physics term that describes a rotational motion about an axis of rotation.
The quantity of angular momentum in the system will not change, regardless of any changes occurring on, or to, the object generating that angular momentum. In rotational systems, angular momentum is most commonly quantified by measuring its magnitude with units such as kilogram meter squared-second (kgm2s) or pound-foot second (lbf3s). The unit for radius rs can be meters or millimeters depending on what goes inside rss
Angular Momentum = I х θ х rs π
Unit systems are what I’m picking up on. In the case of angular momentum, we’re talking about torque and moment defined with respect to angular displacement from some known position. It’s like a slingshot shot, where you can generate more torque if the rubber band is farther out from the center anchor point (defined as 1 in the center). This makes it easier to twist around a pivot point further away because you get more leverage ().
In physics, units are basically individual “weights” assigned for one thing or another that come into calculations when determining relationships between different things. As such, units have a purpose in showing us how much each unit means relative to others – so you can use math instead of words to make comparisons.
What are they about?
So, angular momentum units tell you what the “weight” of a particular value is relative to another. For instance, if I’m saying that something has an angular momentum of 1 kg·m/s, it means that the weight is equivalent to 1 kilogram times meters per second squared (kg·m/s).
At the same time, it’s important to note that units are just weights. You can still express torque in units of kg·m/s even when you’re not talking about angular momentum at all. Keep in mind that one unit is equivalent to some weight or magnitude or another for any given quantity involved.
The relation between units and magnitude is that units show what means a value has to be multiplied with in order for you to get a certain value. In the case of angular momentum, all we’re doing is multiplying some weight times angular displacement from an origin point. That’s why an object can have an angular momentum of 1 kg·m/s at different initial angles from origin.