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Determining wave frequency from a graph

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f Frequency = #of cycles/time Measured in Hertz (Hz)

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1 cycle = 1 full wave to repeat itself

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31 2 4 56789101112 Time in seconds 3 cycles

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from 0 to 12 seconds 31 2 4 56789101112 Time in seconds 0

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f=3 s = ¼ Hz 31 2 4 56789101112 Time in seconds

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Or determine the time for 1 full wave cycle

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1 cycle in 4 seconds= ¼ Hz 31 256789101112 Time in seconds 04

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Period symbol T The time for 1 cycle

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The period for 1 wave is 4 seconds T=4 31 2 4 56789101112 Time in seconds

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What is the frequency? 0246 810 12 14 16 18 20 Time in seconds 2224

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? 0246 810 12 14 16 18 20 Time in seconds 2224 3 cycles 0 to 24 seconds

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0246 810 12 14 16 18 20 Time in seconds 2224 3 cycles 0 to 24 seconds 3/24 s= 1/8 Hz

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OR Frequency – 1 cycle in x seconds

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f=1 cycle in 8 seconds= 1/8 Hz 0246 810 12 14 16 18 20 Time in seconds 2224

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On a piece of paper number 1 through 3 and determine the frequency of the following waves.

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#1 f= ? 0 12 34 5 678910 1112 Time seconds

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#2 f= ? Time seconds 02 4 6 81012 1416 18 2022 24 26

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#3 f = ? 0 5 1015 20 2530 35 40455055 606570 Time seconds

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Check your answers

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#1 f= 1/8 Hz 0 12 34 5 67910 1112 Time seconds 8

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#2 f= 1/8 Hz Time seconds 02 4 6 1012 1416 18 2022 24 268

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#3 f = 1/20 Hz 0 5 1015 2530 35 40455055 606570 Time seconds 20

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