For a rigid body rotating around an axis of symmetry ( e. g. the blades of a ceiling fan ), the angular momentum can be expressed as the product of the body's moment of inertia, I, ( i. e. a measure of an object's resistance to changes in its rotation rate ) and its angular velocity ω:

Given the object's fixed internal moment of inertia tensor and fixed external angular momentum, the instantaneous angular velocity is.

For example, a box-like front ( relative to the object's motion ) will collide with the medium's particles at a high rate, transferring more momentum from the object to the fluid than a more aerodynamic object.

As the object approaches the speed of light, the object's energy and momentum increase without bound.

* For a moving gravity-source the gravitational field can be considered as an extension of the object, and carries inertia and momentum-since a direct collision with the moving object can impart momentum to an external particle, interaction with the object's gravitational field should allow " momentum exchange " too.

Absolute magnitude ( also known as absolute visual magnitude when measured in the standard V photometric band ) is the measure of a celestial object's intrinsic brightness.

The Coriolis force acts in a direction perpendicular to the rotation axis and to the velocity of the body in the rotating frame and is proportional to the object's speed in the rotating frame.

Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity ; for example, the derivative of the position of a moving object with respect to time is the object's instantaneous velocity.

The notion of objects as real is not expelled by phenomenology, but " bracketed " as a way in which we regard objects instead of a feature that inheres in an object's essence founded in the relation between the object and the perceiver.

where R < sub > s </ sub > is the radius of the star, R < sub > o </ sub > is the occulting object's radius, and r is the distance from the star to the occulting object.

Even when an object's net charge is zero, charge can be distributed non-uniformly in the object ( e. g., due to an external electromagnetic field, or bound polar molecules ).

Equality is when two objects are exactly the same, and everything that's true about one object is true about the other, while an isomorphism implies everything that's true about a designated part of one object's structure is true about the other's.

When a body at these points is perturbed, it moves away from the point, but the factor opposite of that which is increased or decreased by the perturbation ( either gravity or angular momentum-induced speed ) will also increase or decrease, bending the object's path into a stable, kidney-bean-shaped orbit around the point ( as seen in the rotating frame of reference ).

In physics, mass ( from Greek " barley cake, lump ( of dough )"), more specifically inertial mass, is a quantitative measure of an object's resistance to acceleration.

* Inertial mass is a measure of an object's resistance to changing its state of motion when a force is applied.

* Passive gravitational mass is a measure of the strength of an object's interaction with a gravitational field.

This hierarchy of objects is maintained through delegation to an object's " parent " property, resulting in a form of single inheritance.

where is the velocity of the ejected / accreted mass as seen in the object's rest frame.

is the object's invariant mass.

* A cognitive metaphor is the association of object to an experience outside the object's environment.

An object's motion cannot change unless it is acted upon by a force, as described by Newton's first law.

* The force acting on a certain object due to gravity is directly proportional to the object's mass ; the constant of proportionality between the mass and the force is known as gravitational acceleration.

Typically, only the object's own methods can directly inspect or manipulate its fields.

Instead ,'s interface should be modified if necessary so it can directly serve object's request, propagating it to any relevant subcomponents.

The cycloid is the solution to the brachistochrone problem ( i. e. it is the curve of fastest descent under gravity ) and the related tautochrone problem ( i. e. the period of an object in descent without friction inside this curve does not depend on the object's starting position ).

* Center of gravity, a spatial point related to an object's center of mass

Moreover, if the discrete step is not related to object's relative speed, the collision could go undetected, resulting in an object which passes through another, if fast enough.

: C < sub > D </ sub > is the drag coefficient – a dimensionless coefficient related to the object's geometry and taking into account both skin friction and form drag.

The objects that are related via the association are considered to act in a role with respect to the association, if object's current state in the active situation allows the other associated objects to use the object in the manner specified by the role.

In effect, this comoving distance is the object's separation if the universe's expansion were neglected, and it can be easily related to the actual distance by accounting for how it would have expanded.

This maneuver can only change an object's velocity relative to a third, uninvolved object, – possibly the “ centre of mass ” or the Sun.

In other words, an object's weight depends on its environment, while its mass does not.

In analyzing such an object, one treats the object's mass as a function that varies with time:.

In classical mechanics, moment of inertia, also called mass moment, rotational inertia, polar moment of inertia of mass, or the angular mass, ( SI units kg · m² ) is a measure of an object's resistance to changes to its rotation.

On the surface of the Earth, the acceleration due to gravity ( the " strength of gravity ") is approximately constant ; this means that the ratio of the weight force of a motionless object on the surface of the Earth to its mass is almost independent of its location, so that an object's weight force can stand as a proxy for its mass, and vice versa.

Because the mass of the Earth is huge, however, the acceleration imparted to the Earth by this opposite force is negligible in comparison to the object's.

The lower bound on this object's mass is about 1. 8 times the mass of Jupiter.

Notice that the amount of force that the table is pushing upward on the object ( the N vector ) is equal to the downward force of the object's weight ( shown here as mg, as weight is equal to the object's mass multiplied with the Gravity of Earth | acceleration due to gravity ): because these forces are equal, the object is in a state of equilibrium ( all the forces acting on it balance to zero ).

In classical mechanics, moment of inertia, also called mass moment of inertia, rotational inertia, polar moment of inertia of mass, or the angular mass, ( SI units kg · m², imperial / US units lb < sub > m </ sub > ft² ) is a measure of an object's resistance to any change in its state of rotation.

In particular, power is the product of a force on an object and the object's velocity, or the product of a torque on a shaft and the shaft's angular velocity.

In relativistic contexts, time cannot be separated from the three dimensions of space, because the observed rate at which time passes for an object depends on the object's velocity relative to the observer and also on the strength of gravitational fields, which can slow the passage of time.

An object's velocity can be calculated by summing over time the acceleration supplied ( ignoring the effects of special relativity, which would quickly become significant at useful interstellar accelerations ).

* velocity is the derivative ( with respect to time ) of an object's displacement ( distance from the original position )

* acceleration is the derivative ( with respect to time ) of an object's velocity, that is, the second derivative ( with respect to time ) of an object's position.

then the object's velocity is

The headwind velocity in still air is inverse of the object's velocity, therefore the apparent wind can also be defined as a vector subtraction: the Velocity of the wind minus the Velocity of the object.

Sound energy flux ( the energy produced by an object's vibrations, symbolized as q ) results from the integral of the acoustic pressure p times the particle velocity v over a surface A, and is given by the integral below.

The object's velocity at perigee reaches some value in excess of the escape velocity, therefore it will escape the gravitational pull of the Earth and continue to travel infinitely with a velocity ( relative to Earth ) decelerating to some finite value, known as the hyperbolic excess velocity.

The object's velocity at perigee equals the escape velocity, therefore it will escape the gravitational pull of the Earth and continue to travel with a velocity ( relative to Earth ) decelerating to 0.