For a certain transverse wave, the distance between two successive crests is 3.11 m, and 5 crests pass a given point along the direction of travel every 12.16 s. Calculate the wave speed.
Note, when 2 crests pass that is one period, three crests is two periods etc
period = 12.16/4 = 3.04 s
speed = distance/time
speed = 3.11/3.04
The answer seems to be wrong when I submit.
Me also
To calculate the wave speed, we need two pieces of information: the distance between two successive crests (wavelength) and the time it takes for a certain number of crests to pass a given point (time period).
1. The distance between two successive crests (wavelength) is given as 3.11 m.
Wavelength (λ) = 3.11 m
2. The number of crests passing a given point in a certain time period is given as 5 crests every 12.16 s. The time period is the time it takes for the crests to pass the given point.
Time period (T) = 12.16 s
Number of crests passing = 5
To find the wave speed (v), we can use the formula:
v = λ / T
Substituting the given values into the formula:
v = 3.11 m / (12.16 s / 5)
To evaluate the expression inside the parentheses, divide the time period by 5:
v = 3.11 m / (12.16 s / 5) = 3.11 m / 2.432 s
Finally, divide the wavelength by the time period to calculate the wave speed:
v = 1.28 m/s
Therefore, the wave speed is 1.28 m/s.