Relation between Time, Frequency, Angles and Radians
Vibration is a Periodic Motion.
The time taken to complete one cycle of vibration is called as the
Time Period of Vibration (T). This is measured in Seconds (s)
The number of cycles of vibration completed in one second is called as the Frequency of Vibration (f). This is measured in Hertz (Hz)
The relation between T and f is that f=1/T or T=1/f
One complete cycle of vibration implies the object is back to its mean position. One cycle or one circle is formed by an angle of 360 degrees.
Radian is defined as the angle within a circle when the arc length is equal to the radius of the circle (as shown in figure)
We know that the circumference of a circle is 2*pi*radius.
Thus, one complete circle is 2*pi radians. Thus 360 degrees = 2*pi radians OR 1 Radian = 57.32 degrees