Answer:
Frequency is the number of revolutions done per second. If one period is 30 seconds, then it takes 30 seconds to complete a single revolution.
So, how many revolutions occur in 1 second? 130
That’s your frequency. It should be obvious that this is the inverse of period.
On another note, angular frequency is the angular distance traveled per second, not revolutions. In a circle, each revolution is a full rotation about a circle, which is 2π
(radians) Hence the angular frequency, given the above period, is the frequency multiplied by 2π
, since one revolution translates to 2π
units of angular distance.
In summary, if we call f
the frequency (revolutions per second), ω
the angular frequency (radians per second) and T
your period (seconds per revolution), we have the following relations:
T=1f=2πω
ω=2πf=2πT
Step-by-step explanation: