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? Note: To calculate frequency, use the equation: Frequency = Number of waves / Time (Remember, the / symbol means division) Then, to calculate wave speed, use the equation: Wave speed (m/s) = Frequency (Hz) x Wavelength (m) (1 point)

A 1 m/s
B 6 m/s
C 2 m/s
D 1.5 m/s

1 answer

To calculate the speed of the waves, we need to follow these steps:

  1. Calculate the frequency of the waves: Frequency (Hz) = Number of waves / Time (s)

    We know that 2 waves pass by in 4 seconds: \[ \text{Frequency} = \frac{2 \text{ waves}}{4 \text{ seconds}} = 0.5 \text{ Hz} \]

  2. Determine the wavelength: The distance between each wave crest (wavelength) is given as 2 meters.

  3. Calculate the wave speed using the wave speed formula: Wave speed (m/s) = Frequency (Hz) × Wavelength (m) \[ \text{Wave speed} = 0.5 \text{ Hz} \times 2 \text{ m} = 1 \text{ m/s} \]

The speed of the waves is 1 m/s. Therefore, the correct answer is:

A 1 m/s.