Momentum is the fundamental quantity of motion for an object moving in a straight line, the one that doesn't change unless an unbalanced force acts on the object. It is the product of the mass times the velocity. An unbalanced force causes the momentum to change, and is exactly equal to the rate of change of the momentum.
What if the object moves in a curved path instead of a straight one? Then you can describe its motion as curving around some stationary origin, and its position can be measured with respect to that origin. Think about a circular path and the position being measured with respect to the center.
The most convenient way to describe the position is to use angular measures (it starts at the x-axis, 2 sec later it is at a position that makes a 30 degree angle with the x-axis etc.
You can conveniently describe its speed by how many degrees per second it moves around the circle. This is called its angular speed.
There is also a fundamental quantity that describes angular motion, called angular momentum. For a symmetric motion like this one, it is the product of the angular speed, the mass of the object and the distance from the origin squared.
In order to change the angular momentum, you would need an unbalanced torque, the angular analog of force.
2006-10-11 22:23:11
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answer #1
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answered by socrmom 2
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Angular Momentum of a Particle
The angular momentum of a particle of mass m with respect to a chosen origin is given by
L = mvr sin θ
or more formally by the vector product
L = r x p
The direction is given by the right hand rule which would give L the direction out of the diagram. For an orbit, angular momentum is conserved, and this leads to one of Kepler's laws. For a circular orbit, L becomes
L = mvr
2006-10-15 21:14:30
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answer #2
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answered by Bandu Naik 1
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The energy of motion of a spinning body or mass of air or water. Its value depends on the mass of the body, its radius of spin, and its rate of spin
which is rotational momentum and is created by the rotations of the various body segments.
Example—The open stance forehand uses significant angular momentum.
The tremendous increase in the use of angular momentum in groundstrokes and serves has had a significant impact on the game of tennis.
2006-10-11 22:25:45
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answer #3
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answered by crazy 2
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angular momentum is the property characterizing the rotary inertia of an object or system of objects in motion about an axis that may or may not pass through the object or system. The Earth has orbital angular momentum by reason of its annual revolution about the Sun and spin angular momentum because of its daily rotation about its axis. Angular momentum is a vector quantity, requiring the specification of both a magnitude and a direction for its complete description. The magnitude of the angular momentum of an orbiting object is equal to its linear momentum (product of its mass m and linear velocity v) times the perpendicular distance r from the centre of rotation to a line drawn in the direction of its instantaneous motion and passing through the object's centre of gravity, or simply mvr. For a spinning object, on the other hand, the angular momentum must be considered as the summation of the quantity mvr for all the particles composing the object. Angular momentum may be formulated equivalently as the product of I, the moment of inertia (q.v.), and w, the angular velocity (q.v.), of a rotating body or system, or simply Iw. The direction of the angular-momentum vector is that of the axis of rotation of the given object and is designated as positive in the direction that a right-hand screw would advance if turned similarly. Appropriate MKS or SI units for angular momentum are kilogram metres squared per second (kg-m2/sec).
For a given object or system isolated from external forces, the total angular momentum is a constant, a fact that is known as the law of conservation of angular momentum. A rigid spinning object, for example, continues to spin at a constant rate and with a fixed orientation unless influenced by the application of an external torque. (The rate of change of the angular momentum is, in fact, equal to the applied torque.) A figure skater spins faster, or has a greater angular velocity w, when the arms are drawn inward, because this action reduces the moment of inertia I while the product Iw, the skater's angular momentum, remains constant. Because of the conservation of direction as well as magnitude, a spinning gyrocompass in an airplane remains fixed in its orientation, independent of the motion of the airplane.
2006-10-11 22:19:29
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answer #4
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answered by Natarajan 1
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If you understand linear motion then angular motion is simple to understand.
In liner motion:
Momentum = MV
M= mass of a body
V is the velocity of the body.
By definition mass times the velocity is the momentum.
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In angular motion:
Angular Momentum = I(Omega)
I is the moment of inertia of the body.
(Omega a Greek Letter) it represents, Angular velocity
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If you you can understand this then, all angular formulas Will be easy to member once you learn linear formulas.
Inertia "I" takes place of Mass "m" and Linear velocity is substitute with angular velocity.
That means in case of Acceleration it Will be "a" for linear and (alfa) for Angular .
I hope, I have give you a good understandable answer and some more information that you can use in future.
2006-10-12 05:50:58
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answer #5
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answered by minootoo 7
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RPM times the spinning mass. The momentum stored in a spinning flywheel is angular momentum.
2006-10-11 22:10:59
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answer #6
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answered by Holden 5
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well let's break the word angular down. it means to go at an angle that is askew from either a horizontal or vertical line into any of a vast and varying degrees of trajectory. next momentum, meaning movement, normally away from or towards something. so if it is angular then it is askew from a horizontal or vertical point of referance , and it has momentum meaning that it is moving either towards or away from that point in space , time, dimension !
2006-10-11 22:19:48
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answer #7
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answered by grim_reaper_69 3
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momentum is the product of mass and velocity
i.e. if p is the momentum and d is the distance travelled and t is the time taken
p=m*d/t
in angular velocity the distance travelled is replaced by angle covered
p=m*angle/time and unit is Kg rad/sec
2006-10-13 01:07:26
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answer #8
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answered by tej 2
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**
2006-10-12 05:25:38
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answer #9
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answered by sures 3
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