Question
11.4 A wave that moves at the speed of
has a wave length of 1500 m .
Calculate the frequency of the wave.
has a wave length of 1500 m .
Calculate the frequency of the wave.
Ask by Graham Bowers. in South Africa
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The frequency of the wave is 0.2 Hz.
Solution
To calculate the frequency (
) of a wave, you can use the fundamental wave equation:
where:
-
is the wave speed, -
is the wavelength, -
is the frequency.
Given:
- Wave speed (
) = - Wavelength (
) =
Steps to Calculate Frequency:
- Rearrange the Wave Equation to Solve for Frequency (
):
- Substitute the Given Values into the Equation:
- Perform the Calculation:
Conclusion:
The frequency of the wave is 0.2 Hz.
The frequency of the wave is 0.2 Hz.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
To calculate the frequency of a wave, you can use the formula:
Given that the speed
and the wavelength
,
So, the frequency of the wave is
.
To put this into perspective, a frequency of
means that this wave makes one complete cycle every 5 seconds! That’s like listening to a slow, rhythmic beat—perfect for relaxing to the sound of waves rolling in!
If you’ve ever seen the ocean waves lapping at the shore, each wave can be thought of as a cycle. Understanding wave frequency is crucial in fields like oceanography and acoustics, as it influences how we perceive sound and water waves in various environments! Just think about how sound travels through different mediums; a deep voice might have a lower frequency (deeper undertones) compared to a high-pitched voice, which has a higher frequency.