Question
A wave is traveling at 36 m/s. If its wavelength is 12 m, how many times does a wavelength move across a set point every second?
one time
three times
twelve times
thirty-six times
one time
three times
twelve times
thirty-six times
Answers
GPT-4o mini
To determine how many times a wavelength moves across a set point every second, we can use the relationship between wave speed, wavelength, and frequency.
The formula to calculate frequency (\(f\)) is:
\[
f = \frac{v}{\lambda}
\]
where:
- \(v\) is the speed of the wave (36 m/s),
- \(\lambda\) is the wavelength (12 m).
Substituting the values into the formula:
\[
f = \frac{36 \text{ m/s}}{12 \text{ m}} = 3 \text{ Hz}
\]
This means the wave moves across a set point 3 times every second.
Thus, the answer is **three times**.
The formula to calculate frequency (\(f\)) is:
\[
f = \frac{v}{\lambda}
\]
where:
- \(v\) is the speed of the wave (36 m/s),
- \(\lambda\) is the wavelength (12 m).
Substituting the values into the formula:
\[
f = \frac{36 \text{ m/s}}{12 \text{ m}} = 3 \text{ Hz}
\]
This means the wave moves across a set point 3 times every second.
Thus, the answer is **three times**.