Isn't angular velocity defined as the angle of rotation per unit time? So ω should be equal to 360 / T. why is ω = 2 π / T? I didn't make it clear when I was in school. Now I need it. It's still foggy

Isn't angular velocity defined as the angle of rotation per unit time? So ω should be equal to 360 / T. why is ω = 2 π / T? I didn't make it clear when I was in school. Now I need it. It's still foggy

Timely adoption is conducive to the next answer
First of all, you don't understand the definition of angular velocity clearly. I'll ask you a question. What is the unit of angular velocity? It's rad. 360 degrees is equal to 2 π & nbsp; & nbsp; rad. After studying physics, you must know that the unit should be unified
If you use 360 / T to calculate the rotation angle per unit time (the unit is degree), and 2 π / T to calculate, the unit is rad (and this is the unit of W). So the memory should be OK
Of course, I want to emphasize rad in rad / s