AC Signals - Radians and Degrees? Why do we use both?

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Discussion Overview

The discussion revolves around the conventions used in electrical engineering for representing sinusoidal signals, specifically the use of radians per second for frequency and degrees for phase shift. Participants explore the origins of these conventions and their implications in calculations and communication.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants question why electrical engineers use radians per second for frequency but degrees for phase shift, suggesting a need for clarity on this convention.
  • Others assert that Hertz is the more common unit for frequency in conversation, with radians per second being less frequently used in practical discussions.
  • A participant argues that using angular frequency (ω) simplifies mathematical expressions, particularly in calculus, compared to using Hertz.
  • Some participants express that while radians per second is useful in theoretical contexts, practical measurements often prefer Hertz for clarity.
  • There is a discussion about the relationship between frequency and angular frequency, with some asserting that angular frequency should be expressed in radians per second, while frequency is typically in Hertz.
  • One participant mentions the potential confusion that arises when units are not clearly defined, emphasizing the importance of specifying whether frequency is in Hertz or radians per second.
  • Another participant introduces the idea that the use of different units can be likened to other measurement conventions, suggesting that the choice of units should facilitate understanding rather than adhere to strict correctness.
  • Some participants highlight the need for precision in communication, particularly in technical discussions, to avoid misunderstandings related to units.

Areas of Agreement / Disagreement

Participants express a mix of views on the use of radians per second versus Hertz, with no clear consensus on the superiority of one unit over the other. The discussion remains unresolved regarding the best practices for representing frequency and phase shift in electrical engineering.

Contextual Notes

Participants note that the choice of units may depend on context, with some emphasizing the mathematical convenience of radians per second while others prioritize the clarity of Hertz in practical applications. There are also references to the historical and conventional aspects of these units.

  • #31
Was there anything wrong or nor clear about this?

No - everything clear. As I have mentioned there was a confusiuon on my side regarding "dimension" and "unit".
(See my post#22: ...it is not dimensionless. It has the unit rad).
 

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