Question

(1) angular frequecy

Answer 1

Regular" and angular frequencies are alternative units of measurement for describing how fast an object rotates or a sine wave oscillates.

Regular or linear frequency (f), sometimes also denoted by the Greek symbol "nu" (ν), counts the number of complete oscillations or rotations in a given period of time. Its units are therefore cycles per second (cps), also called hertz (Hz).

Angular frequency (ω), also known as radial or circular frequency, measures angular displacement per unit time. Its units are therefore degrees (or radians) per second.



Angular frequency (in radians) is larger than regular frequency (in Hz) by a factor of 2π:

ω = 2πf

Hence, 1 Hz ≈ 6.28 rad/sec. Since 2π radians = 360°, 1 radian ≈ 57.3°.

Answer 2

Angular frequency (or angular speed) is the magnitude of the vector quantity angular velocity. The term angular frequency vector {\displaystyle {\vec {\omega }}}is sometimes used as a synonym for the vector quantity angular velocity.[1]

One revolution is equal to 2π radians, hence[1][2]

{\displaystyle \omega ={{2\pi } \over T}={2\pi f},}