1·How many meters per second is linear, as opposed to how many radians per second, which is angular velocity.
每秒走过多少米就是线速度,和每秒经过多少弧度是相反的,那是角速度。
2·Angular velocity means not how many meters per second but how many radians per second.
角速度不是指每秒经过的路程,而是指每秒经过的弧度。
3·However as the angle increases to 360 degrees, 720 degrees (4 pi radians), and more, the Taylor series requires progressively more terms for accurate computation.
但是,随着角度增加到 360 度、720 度(4 pi 弧度)以及更大时,泰勒级数就逐渐需要更多条件来进行准确计算。
4·f is therefore roughly 360 radians per second.
即ω=2πf,Omega,is,two,pi,times,fω=2π,所以大概360弧度/秒。
5·That's the reason why we always used radians in math.
这就是我们在数学里用弧度表示角度的原因。