A rock dropped into a pond produces a wave
that takes 15.9 s to reach the opposite shore,
31.8 m away. The distance between consecutive
crests of the wave is 3.1 m.
What is the frequency of the wave?
To find the frequency of the wave, we can use the formula:
Frequency = (speed of wave) / (wavelength)
The speed of the wave can be calculated using the formula:
speed = distance / time
From the information given, we know that the wave takes 15.9 seconds to reach the opposite shore, which is a distance of 31.8 meters. Therefore, the speed of the wave is:
speed = 31.8 m / 15.9 s = 2 m/s
The wavelength is given as the distance between consecutive crests of the wave, which is 3.1 meters.
Now, we can calculate the frequency by dividing the speed of the wave by its wavelength:
Frequency = 2 m/s / 3.1 m = 0.645 Hz
So, the frequency of the wave is 0.645 Hz.
v = f(lambda)
v in this case is x/t
then solve for f