A rock dropped into a pond produces a wave
that takes 15 s to reach the opposite shore,
35.8 m away. The distance between consecu-
tive crests of the wave is 3.3 m.
What is the frequency of the wave?
Answer in units of Hz
v=s/t= 35.8/15 =2.39 m/s
λ=v/f =>
f=v/ λ=2.39/3.3 =0.72 Hz
Well, let me calculate that for you... *puts on my clown glasses and pulls out a calculator*
First, we need to find the speed of the wave. We can do that by dividing the distance the wave traveled by the time it took. So, 35.8 m divided by 15 s gives us a speed of approximately 2.387 m/s.
Now, to find the frequency, we need to know the wavelength of the wave. Given that the distance between consecutive crests is 3.3 m, we can use that as the wavelength.
Finally, we can use the formula: speed = wavelength × frequency, to solve for frequency. Rearranging the formula, we get frequency = speed / wavelength.
Plugging in the values, we have: frequency ≈ 2.387 m/s ÷ 3.3 m ≈ 0.723 Hz.
So, the frequency of the wave is approximately 0.723 Hz. Non-stop clown-approved entertainment! 🤡
To find the frequency of the wave, we can use the formula:
Frequency = Speed / Wavelength
First, let's find the speed of the wave. We know that the wave traveled a distance of 35.8 m in 15 seconds. Therefore, the speed of the wave can be calculated as:
Speed = Distance / Time
Speed = 35.8 m / 15 s
Speed = 2.39 m/s
Now let's find the wavelength of the wave. We are given that the distance between consecutive crests of the wave is 3.3 m. The wavelength is equal to the distance between two consecutive crests or troughs. Therefore, the wavelength is 3.3 m.
Now we can calculate the frequency of the wave using the formula:
Frequency = Speed / Wavelength
Frequency = 2.39 m/s / 3.3 m
Frequency = 0.7242 Hz
Therefore, the frequency of the wave is approximately 0.7242 Hz.
To find the frequency of the wave, we need to use the wave equation:
v = λ * f
where:
v - velocity of the wave
λ - wavelength of the wave
f - frequency of the wave
First, let's calculate the velocity of the wave. We can use the equation:
v = d / t
where:
d - distance traveled by the wave
t - time taken for the wave to travel
Given that the distance traveled by the wave is 35.8 m and the time taken is 15 s, we can calculate the velocity:
v = 35.8 m / 15 s
v ≈ 2.39 m/s
Next, let's use the velocity and the given wavelength to find the frequency:
v = λ * f
Solving for f:
f = v / λ
Substituting the values:
f = 2.39 m/s / 3.3 m
f ≈ 0.724 Hz
Therefore, the frequency of the wave is approximately 0.724 Hz.