Frequency ($f$) represents the number of cycles or revolutions per unit of time (usually per second), measured in Hertz (Hz). Angular frequency ($\omega$) represents the rate of rotation or oscillation in terms of angle per unit of time (usually radians per second), measured in rad/s. One complete cycle or revolution corresponds to an angle of $2\pi$ radians. If $f$ cycles occur per second, then the total angle covered per second is $f \times (2\pi)$ radians. Therefore, the angular frequency $\omega$ is related to the frequency $f$ by the equation: $\omega = 2\pi f$
Which one of the following is the correct relation between frequency $f$ and angular frequency $\omega$?
Asked in UPSC NDA 1 2017 · Topic: Wave Motion (Wave Characteristics: Amplitude, Wavelength, Frequency, Time Period, Wave Speed)
More Physics questions
- What will be the de Broglie wavelength of a ball of mass 0.12 kg moving with a speed of 20 ms$^{-1}$ ?
- The wavelength of a ball of mass 0.1kg moving with a velocity of 10ms⁻¹ is - (1) 6.626 × 6.626 × 10⁻³² m (5) Question not attempted
- The time of reverberation of a hall can be decreased by
- The walls of the hall built for music concerts should
- The noise level during plane take off is around
- In concert halls, soft materials and carpets are used to
- The property of the sound waves that determines the pitch of the sound is its
- The frequency (in Hz) of a note that is one octave higher than 500 Hz is