- #1
NickTheFill
- 14
- 3
Dear all
Something is bugging me. I hope you can help.
I read in texts that if f(t) = sin(t) then the period of the function is the time taken (secs) to complete one cycle.
I also read in texts that if f(t) = sin(2t) then the period of the halved.
No problems here. I see that (2*t) = (omega*t). Happy days.
I also read in texts that if f(x) = sin(x) then the period of the function is 2pi radians.
and that if f(x) = sin(2x) then the period of the function is pi radians.
How can this happen? How can we measure a period in radians? How can a full cycle be anything other than 2pi radians anyway?
I am going round in circles...
Thanks for reading.
Nick
Something is bugging me. I hope you can help.
I read in texts that if f(t) = sin(t) then the period of the function is the time taken (secs) to complete one cycle.
I also read in texts that if f(t) = sin(2t) then the period of the halved.
No problems here. I see that (2*t) = (omega*t). Happy days.
I also read in texts that if f(x) = sin(x) then the period of the function is 2pi radians.
and that if f(x) = sin(2x) then the period of the function is pi radians.
How can this happen? How can we measure a period in radians? How can a full cycle be anything other than 2pi radians anyway?
I am going round in circles...
Thanks for reading.
Nick