Part(1 of 3)
You dip your finger into a pan of water twice
each second, producing waves with crests that
are separated by 0.17 m.
Determine the frequency of these water
waves.
Answer in units of Hz
Part(2 of 3)
Determine the period of these water waves.
Answer in units of s
Part(3 of 3)
Determine the speed of these water waves.
Answer in units of m/s
Part (1 of 3):
To determine the frequency of the water waves, we need to know the number of waves produced per second. Given that you dip your finger into the pan of water twice each second, we can infer that two waves are produced in one second. Therefore, the frequency is 2 Hz.
Part (2 of 3):
The period of a wave refers to the time it takes for one complete cycle or wave crest to pass a given point. The period is the inverse of the frequency, meaning it is equal to 1 divided by the frequency. In this case, since the frequency is 2 Hz, the period can be calculated as 1/2 = 0.5 seconds.
Part (3 of 3):
The speed of a wave can be determined by the equation v = λf, where v is the wave speed, λ (lambda) is the wavelength of the wave, and f is the frequency. In this case, the wavelength is given as 0.17 m. We already calculated the frequency as 2 Hz in part 1. Thus, the speed of these water waves can be found using the formula: v = (0.17 m)(2 Hz) = 0.34 m/s. Therefore, the speed of these water waves is 0.34 m/s.