Angle for SHM(Simple pendulum)

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    Angle Pendulum
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Discussion Overview

The discussion revolves around the necessity of using radians instead of degrees in the context of simple harmonic motion (SHM) for a simple pendulum. Participants explore the implications of using different angular measurements in physics equations.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • Some participants assert that using radians is necessary because key equations, such as v = rω, only hold true in radians.
  • Others question why degrees cannot be used instead of radians, seeking clarification on the preference for radians among physicists.
  • It is suggested that using radians simplifies calculations, as indicated by the equations v = rω and a = rα.
  • One participant notes that if degrees are used, additional conversion factors are required, such as v = 2πrω/360.
  • There is a discussion about whether using degrees is acceptable, but it is implied that radians are favored for ease of use.

Areas of Agreement / Disagreement

Participants express differing views on the necessity of radians versus degrees, with some advocating for radians due to simplicity, while others question the exclusivity of this preference. The discussion remains unresolved regarding the absolute necessity of radians.

Contextual Notes

The discussion highlights the dependence on angular measurement definitions and the implications of using different units in physics equations. There are unresolved aspects regarding the conversion between degrees and radians.

shayaan_musta
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Hi!

Why it is necessary to has angle in radians for SHM(Simple pendulum)?
 
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hi shayaan_musta! :smile:

because everything works in radians

in particular, v = rω only works in radians
 
tiny-tim said:
hi shayaan_musta! :smile:

because everything works in radians

in particular, v = rω only works in radians

Thanks for reply.
But sorry for your answer.

I need a explanation that why don't we use degree instead of radians??

Why physicist agree to use radians particularly.
 
if we use radians, everything is easier …

v = rω

a = rα

etc
 
tiny-tim said:
if we use radians, everything is easier …

v = rω

a = rα

etc

This implies that if we use degree it is also OK. But use of radians is more easy that degree??
Right?
 
no … if we use degrees …

v = 2πrω/360

a = 2πrα/360 :wink:
 
tiny-tim said:
no … if we use degrees …

v = 2πrω/360

a = 2πrα/360 :wink:

You mean, for degree we have to use this conversion??
 
yup! :smile:
 
tiny-tim said:
yup! :smile:

OK. Thanks tiny-tim :)
 

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