B For oscillations, why do we use angles in waves and oscillat

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Angular frequency and phase in oscillations are measured in radians because radians are real numbers that simplify mathematical expressions. This allows for a consistent representation of angles in calculations, making the math for oscillations more straightforward. The units for frequency can be expressed in rad/s or as 1/s, highlighting the interchangeable nature of these measurements. Understanding differential equations is crucial for grasping the underlying principles of oscillations. Overall, using radians enhances clarity and efficiency in the study of wave behavior.
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For example, the term angular frequency, it units is radian per second. For phase, it is also measured in radians or degrees, why is that? Why is the math the same when you use angles to describe oscillations?
 
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Cr4zyM4tt said:
For example, the term angular frequency, it units is radian per second. For phase, it is also measured in radians or degrees, why is that? Why is the math the same when you use angles to describe oscillations?
Radians are just real numbers. They are not a completely different unit of measurement like degrees.That's why radians were created: to express angles by real numbers. You can say that the units for frequency are rad/s as well as you can say they are 1/s or s-1. Also, it helps a lot to understand things related to oscillations if you study about solving differential equations.
 
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