Answer:
Period of the wave: [tex]T = 0.4 \text{ seconds}[/tex]
Frequency of the wave: [tex]f = 2.5 \text{ Hz}[/tex]
Explanation:
Period of the wave:To calculate the period of a wave from a displacement vs time graph we identify the amount of time it takes for one cycle to be completed. According to the graph, 1 cycle is completed in 0.4 seconds, so:
[tex]T = 0.4 \text{ seconds}[/tex]
Frequency of the wave: To find frequency we simply calculate the inverse of the period because we know the relationship [tex]T= \frac{1}{f}[/tex] or [tex]f = \frac{1}{T}[/tex]
[tex]f= \frac{1}{T}= \frac{1}{0.4 s}= 2.5 \text{ Hz}[/tex]