While watching ocean waves at the dock of the bay, Otis notices that 9 waves pass beneath him in 28 seconds. He also notices that the crests of successive waves exactly coincide with the posts that are 5 meters apart. What are the period, frequency, wavelength, and speed of the ocean wave?
What is the period?
Frequency?
Wavelength?
and speed?
FREQUENCY=...... 9WAVES:28SECONDS
X WAVES:1SECOND
28X=9
X=9/28
X=0.32HZ
PERIOD=1/F
=1/0.32
=3.13SECONDS
WAVELENGTH
=TOTAL DISTANCE/NUMBER OF WAVES
=9*5/9
=45/9
=5
SPEED
V=F*WAVELENGTH
V=0.32HZ*5
V=1.6 M.S
To find the period, frequency, wavelength, and speed of the ocean wave, we can use the following formulas:
1. Period (T) = Total time / Number of waves
2. Frequency (f) = 1 / Period (T)
3. Wavelength (λ) = Distance between posts
4. Speed (v) = Frequency (f) * Wavelength (λ)
Given:
Number of waves = 9
Total time = 28 seconds
Distance between posts = 5 meters
1. Period (T) = Total time / Number of waves
T = 28 seconds / 9
T ≈ 3.111 seconds
2. Frequency (f) = 1 / Period (T)
f = 1 / 3.111 seconds
f ≈ 0.321 Hz
3. Wavelength (λ) = Distance between posts
λ = 5 meters
4. Speed (v) = Frequency (f) * Wavelength (λ)
v = 0.321 Hz * 5 meters
v ≈ 1.605 m/s
Therefore, the period is approximately 3.111 seconds, the frequency is approximately 0.321 Hz, the wavelength is 5 meters, and the speed is approximately 1.605 m/s.
To find the period, frequency, wavelength, and speed of the ocean wave, we can use the given information and some formulas.
1. Period (T):
The period of a wave is the time it takes for one complete cycle or one wave to pass a point. In this case, we are given that 9 waves pass beneath Otis in 28 seconds. So, we can calculate the period by dividing the total time by the number of waves:
T = Total time / Number of waves
= 28 s / 9
≈ 3.11 s
2. Frequency (f):
The frequency of a wave is the number of complete cycles or waves that pass a point in one second. It is the inverse of the period. So, we can calculate the frequency by taking the reciprocal of the period:
f = 1 / T
= 1 / 3.11 s
≈ 0.321 Hz
3. Wavelength (λ):
The wavelength of a wave is the distance between two consecutive crests or troughs of a wave. In this case, we are given that the crests of successive waves coincide with posts that are 5 meters apart. So, the wavelength is equal to the distance between the posts:
λ = Distance between posts
= 5 m
4. Speed (v):
The speed of a wave is the rate at which a wave travels through a medium. It can be calculated using the formula:
v = λ * f
= 5 m * 0.321 Hz
≈ 1.605 m/s
To summarize:
- The period of the ocean wave is approximately 3.11 seconds.
- The frequency of the ocean wave is approximately 0.321 Hz.
- The wavelength of the ocean wave is 5 meters.
- The speed of the ocean wave is approximately 1.605 m/s.