Monday, January 25, 2010

Wikipedia Velocity Can The Values Found For Angular Speed/Frequency Be Substituted For Angular Velocity?

Can the values found for Angular Speed/Frequency be substituted for Angular Velocity? - wikipedia velocity

Specifically, in the rotation for the determination of energy: 1/2Iw ^ 2
Where I = moment of inertia w = angular velocity.

Wikipedia says that the angular velocity is used to determine the angular velocity / frequency, but the formulas are different for everyone, it would even be in the same unit, much less the same values?

Angular velocity search terms such as Chinese and I think to0 complicated than the determination to implement the rotational energy. Shape of the angular velocity is more so, but that is not what is asked of the rotation energy, the Wikipedia is false or interchangeable?

2 comments:

engineer said...

The angular velocity (W) is in radians per second. * 2 Pi radians = 360 degrees = 1 revolution = 1 cycle.

The trick is to express the angular velocity / frequency in terms of radians per second (W) by their ratings.

/ Min Ex: the angular velocity of 300 U is as follows:

Min 300 rpm * 1 min 60 sec * 2 * pi rad / 1 revolution is 10 * Pi radians, or 31.4 per second.

Ex pulse of 300 Hertz:

300 cycles per second * 2 * Pi radians / 1 cycle = 600 * Pi radians per second.

Hope this helps

Elisa said...

Your question of good jumps and is not very clear, but I'll give it a shot anyway.

In this formula for the rotational energy, which I assume two-dimensional problem, omega the angular velocity in radians per second d_theta (o / d_t). Although the angular velocity is the value used in the formula, the rotation is effective as a vector of angular velocity described because it) a sense of revolution (clockwise or counterclockwise, but when I is not n love the solution for the rotational energy . Since we do not care about the direction of rotation is not important in this case, if omega is the angular velocity or angular velocity. If you clarify the confusion, the formula would be better written as E = 1 / 2 | Omega | ^ 2, where the length of the angular velocity angular velocity. This is nothing other than the translational energy, where E = 1 / 2 mv ^ 2 It's not really the direction of the velocity vector to calculate E in the translation. Just use the length of the vector v.

If you are concernedthe formula of the angular velocity in three dimensions, which is confusing, the formula has the same units as the simplest case of two dimensions. It is simply expressed in vector algebra. In three dimensions, the angular velocity is defined not only the speed, but you need to enable the rotation and the plane on which rotation occurs as well. In addition, the vector product of R and V is done, and divided by the size of the R Square. The vector product defines a vector in space. The address points define a plane perpendicular, so that the rotation of the object. The sign in the vector indicates whether the rotation is clockwise or counterclockwise in the plane. The vector is the speed with which the object will rotate. Even in three dimensions, the formula of rotational energy is the same as that which he has used and still the size of the angular velocity of the omega-energy to be calculated. Is to know the angular velocity, which is available to calculate the cross product of the c,OMPOSITION to calculate the length of the involved vector. If she has not learned to vector products, then the formula, you probably want to use only the angular velocity of a two-dimensional problem.

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