Angular frequency
In
physics , angular frequency ? is a scalar measure of rotation rate. Angular frequency is the magnitude of the vector quantity
angular velocity. The term angular frequency vector is sometimes used as a synonym for the vector quantity
angular velocity .
In SI units, angular frequency is measured in
radians per second, with dimensions T −1 since radians are dimensionless.
One revolution is equal to 2p radians, hence
where
? is the angular frequency or angular speed ,
T is the period ,
f is the
frequency ,
Encyclopedia
In
physics ,
angular frequency ? is a scalar measure of rotation rate. Angular frequency is the magnitude of the vector quantity
angular velocity. The term
angular frequency vector is sometimes used as a synonym for the vector quantity
angular velocity .
In SI units, angular frequency is measured in
radians per second, with dimensions T
−1 since radians are dimensionless.
One revolution is equal to 2p radians, hence
where
? is the angular frequency or angular speed ,
T is the period ,
f is the
frequency ,
v is the tangential velocity of a point about the axis of rotation , and
r is the radius of rotation .
Angular frequency is therefore a simple multiple of ordinary frequency. However, using angular frequency is often preferable in many applications, as it avoids the excessive appearance of . In fact, it is used in many fields of physics involving periodic phenomena, such as
quantum mechanics and electrodynamics.
For example:
Using 'ordinary' revolutions-per-second frequency, this equation would be:
Another often encountered expression when dealing with small oscillations is:
where is the spring constant and is the mass of the object.
Angular frequency inside an
LC circuit can also be defined as the inverse of the square root of the capacitance , times the
inductance of the circuit .
See also
