The distance between two successive crests of
a certain transverse wave is 1.12 m. Eight
crests pass a given point along the direction
of travel every 12.3 s.
Calculate the wave speed.
Answer in units of m/s
The frequency of waves going by is
f = 8/12.3 = 0.6504 s^-1
The wavelength is L = 1.12 m
The wave speed is
V = f*L = _____ m/s
V=0.73m/s
correct
To calculate the wave speed, we can use the formula:
Wave Speed = Wavelength × Frequency
Given that the distance between two successive crests (wavelength) is 1.12 m and eight crests pass a given point every 12.3 s (frequency), we can calculate the wave speed.
First, we need to determine the frequency, which can be found using the formula:
Frequency = Number of Crests / Time
In this case, the number of crests passing the point is 8, and the time is 12.3 s. Plugging these values into the formula, we get:
Frequency = 8 / 12.3
Calculating this gives us:
Frequency ≈ 0.65 Hz
Now that we have the frequency, we can use it along with the given wavelength to calculate the wave speed. Plugging in the values, we have:
Wave Speed = 1.12 m × 0.65 Hz
Calculating this gives us:
Wave Speed ≈ 0.728 m/s
Therefore, the wave speed is approximately 0.728 m/s.