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

[Cr4zyM4tt]

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?

 

[anachin6000]

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.