You are at a pool party and notice that 2 waves pass by a floating ball in 4 seconds. If the distance between each wave crest is 2 meters, what is the speed of the waves? (Hint:

you will need to calculate the frequency first.)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

To determine the speed of the waves, we first need to calculate their frequency.

The frequency (\(f\)) is defined as the number of waves passing a point per second. From the information given, 2 waves pass by the ball in 4 seconds. We can calculate the frequency as follows:

\[
f = \frac{\text{Number of waves}}{\text{Time (seconds)}} = \frac{2 \text{ waves}}{4 \text{ seconds}} = 0.5 \text{ Hz}
\]

Next, we need to calculate the speed (\(v\)) of the waves. The speed of a wave can be calculated using the formula:

\[
v = f \times \lambda
\]

where \( \lambda \) is the wavelength, or the distance between consecutive crests of a wave. In this case, the wavelength is given as 2 meters.

Now we can plug in the values:

\[
v = (0.5 \text{ Hz}) \times (2 \text{ meters}) = 1 \text{ m/s}
\]

Therefore, the speed of the waves is:

\[
\boxed{1 \text{ m/s}}
\]