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A water wave has a frequency of 0.9 Hz and a wavelength of 3 meters. What is the period of the wave in seconds?

User Ianaz
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1 Answer

9 votes

Answer:

T = 1.11111111111111111 [repeating] seconds

(T means period)

Step-by-step explanation:

wave terminology:

period = seconds per wave

frequency = waves per second [hz = in one second]

frequency : f [measured in hertz]

period : T [measured in seconds]

the period is the time it takes for one cycle to occur. If the frequency of the wave is 0.9, that means that 0.9 waves are able to pass in 1 second.

So, we should use the period and frequency relation:

T =
(1)/(f) f =
(1)/(T)

So, we should plug in the frequency (0.9) to find the period

T =
(1)/(0.9)

T = 1.111111

So, the period of this wave (the amount of time it takes for one wave to pass) is 1.1111111 [repeating] seconds

User Bob Brown
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