Saturday, March 16, 2013

Frequency, Period, and Amplitude

Frequency is the number which defines the number of vibrations performed by an object within one second. From this understanding, the unit of frequency of a vibration is "the number of vibrations per second" or hertz (Hz).




Period is the time needed to make one vibration. For example, if the frequency of a vibration of a pendulum is 1 Hz, then it means every vibration needs one second. This one second time is called the period of the vibration.

Amplitude is the farthest distance of displacement of a vibration. If we look at the figure on the bottom side, the amplitude is the distance between the movements.

Formulas:

The formula for frequency is the numbers of vibrations divided by time. F = n (vibrations) = ... Hertz
                                                                                                                         t (seconds)
The formula for period is one divided by frequency. T (symbol for period) =  1 = ... seconds
                                                                                  f

Questions and Answers:

1. A ruler on a table moved, performs 14 swings within 7 seconds. What is the frequency of that ruler?

F = n  = 14 vibrations = 2 vibrations/second = 2 Hz
       t       7 seconds  

2. If the frequency of a vibration is 20 Hz, what is its period?

T = 1  =  1  = 0.05 seconds
       f      20


Sources: 
- 2B Science 2nd Semester Grade VIII textbook
- http://www.calacademy.org/products/pendulum/page1.htm


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