Angle for SHM(Simple pendulum)

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Using radians for simple harmonic motion (SHM) in a simple pendulum is essential because many fundamental equations, such as v = rω and a = rα, are derived under the assumption of radians. While degrees can be used, they require additional conversion factors, making calculations more complex. Radians simplify the relationships between angular and linear quantities, leading to easier and more intuitive physics. The consensus among physicists is that radians provide a more straightforward approach to understanding motion. Therefore, employing radians is preferred for clarity and efficiency in calculations.
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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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