Understanding Wave Frequency and Periodicity Graphically
This instructional material provides a visual guide on determining wave frequency and period from graphs displaying wave cycles over time. It explains concepts such as the relationship between cycles and time, measuring frequency in Hertz (Hz), understanding wave periods, and calculating frequencies for varying time intervals. The content also assists in identifying frequencies for given time durations, aiding in a comprehensive comprehension of wave characteristics.
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Presentation Transcript
Determining wave frequency from a graph
f Frequency = #of cycles/time Measured in Hertz (Hz)
1 cycle = 1 full wave to repeat itself
3 cycles 4 2 5 6 7 8 9 10 11 12 1 3 Time in seconds
from 0 to 12 seconds 4 0 2 5 6 7 8 9 10 11 12 1 3 Time in seconds
f=3 s = Hz 4 2 5 6 7 8 9 10 11 12 1 3 Time in seconds
1 cycle in 4 seconds= Hz 0 4 2 5 6 7 8 9 10 11 12 1 3 Time in seconds
Period symbol T The time for 1 cycle
The period for 1 wave is 4 seconds T=4 4 2 5 6 7 8 9 10 11 12 1 3 Time in seconds
What is the frequency? 14 8 10 12 16 20 22 24 0 2 4 6 18 Time in seconds
? 0 to 24 seconds 3 cycles 14 8 10 12 16 20 22 24 0 2 4 6 18 Time in seconds
0 to 24 seconds 3/24 s= 1/8 Hz 3 cycles 14 8 10 12 16 20 22 24 0 2 4 6 18 Time in seconds
OR Frequency 1 cycle in x seconds
f=1 cycle in 8 seconds= 1/8 Hz 14 8 10 12 16 20 22 24 0 2 4 6 18 Time in seconds
On a piece of paper number 1 through 3 and determine the frequency of the following waves.
#1 f= ? 0 6 7 8 9 10 11 12 1 2 5 3 4 Time seconds
#2 f= ? 18 22 14 16 20 22 24 8 10 12 26 0 2 6 4 Time seconds
#3 f = ? 40 45 50 55 25 30 60 65 70 5 20 35 0 10 15 Time seconds
Check your answers Check your answers
#1 f= 1/8 Hz 0 6 7 8 9 10 11 12 1 2 5 3 4 Time seconds
#2 f= 1/8 Hz 18 22 14 16 20 22 24 8 10 12 26 0 2 6 4 Time seconds
#3 f = 1/20 Hz 40 45 50 55 25 30 60 65 70 5 20 35 0 10 15 Time seconds
