text: ### Frequency
  
  Angular frequency is a cycle of repetition and refers to the angles covered by a frequency.   Thus angular frequency is equal to:
  
  A bicycle wheel turning at five cycles per second will scan an angle of 10π radians per second.  Angular frequency is in units of radians per second.
  
  When a cycle completes, it does so in a given period of time.  The period of time to complete a cycle is the reciprocal of the frequency:
  
  A bicycle wheel turning at five cycles per second will have a period of 1/5 second.  Or in other words, the time it takes to turn the wheel once at five cycles per second will be 1/5 second.
  
  Not all cycles are stationary and go in circles.  Quite often, a cycle is associated with a velocity.  As a bicycle wheel turns and completes one cycle, the bike rider will travel a distance.  This distance is called the "wavelength" when applied to photons.  The distance the bicycle rider will travel will depend on its velocity per frequency:
  
  So if the rider travels five feet per second, and the wheel turns at five cycles per second, then the rider has traveled one foot (the bicycle would be very small!).
explanation: The document provides an explanation of angular frequency, period, and the relationship between frequency, velocity, and distance traveled. It includes examples using a bicycle wheel to illustrate these concepts. The text does not contain a specific question or a question and answer.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: ### Frequency
  
  Angular frequency is a cycle of repetition and refers to the angles covered by a frequency.   Thus angular frequency is equal to:
  
  A bicycle wheel turning at five cycles per second will scan an angle of 10π radians per second.  Angular frequency is in units of radians per second.
  
  When a cycle completes, it does so in a given period of time.  The period of time to complete a cycle is the reciprocal of the frequency:
  
  A bicycle wheel turning at five cycles per second will have a period of 1/5 second.  Or in other words, the time it takes to turn the wheel once at five cycles per second will be 1/5 second.
  
  Not all cycles are stationary and go in circles.  Quite often, a cycle is associated with a velocity.  As a bicycle wheel turns and completes one cycle, the bike rider will travel a distance.  This distance is called the "wavelength" when applied to photons.  The distance the bicycle rider will travel will depend on its velocity per frequency:
  
  So if the rider travels five feet per second, and the wheel turns at five cycles per second, then the rider has traveled one foot (the bicycle would be very small!).
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document provides an explanation of angular frequency, period, and the relationship between frequency, velocity, and distance traveled. It includes examples using a bicycle wheel to illustrate these concepts. The text does not contain a specific question or a question and answer.
  
  Label: no-question