contestada

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?

Respuesta :

Answer:

T = 1.11111111111111111 [repeating] seconds

(T means period)

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 = [tex]\frac{1}{f}[/tex]                         f = [tex]\frac{1}{T}[/tex]

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

T = [tex]\frac{1}{0.9}[/tex]

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