A sound wave travels a distance 1020 m in 5 minutes. If the length of the three successive crests is 15 m, then calculate the wave speed.

"Length of three crests"? I'm not sure about that. Is the question okay? I'm confused. :/

three crests span two complete waves.

Think of a sine wave. max-max is one wavelength, so max-max-max is two wavelengths.

So, the wavelength is 7.5m

Now use your formula: speed = wavelength * frequency

Apologies for the confusion. The term "length of three crests" is unclear. However, we can still calculate the wave speed based on the given information.

To calculate the wave speed, we need to know the distance traveled (1020 m) and the time taken (5 minutes).

First, we need to convert the time from minutes to seconds. Since there are 60 seconds in a minute, we multiply 5 by 60 to get 300 seconds.

The formula for wave speed is: wave speed = distance / time.

Plugging in the values, we get:
Wave speed = 1020 m / 300 s.

Now we can calculate the wave speed by dividing 1020 m by 300 s.

Calculating, we find that the wave speed is approximately 3.4 m/s.

The question seems to use unclear terminology. It mentions the length of three successive crests, which is not a typical measure used to describe a sound wave. Normally, sound waves are characterized by their frequency and wavelength. However, we can still try to solve the problem using the given information.

Let's work with the assumption that by "length of three successive crests," the question is referring to the wavelength of the sound wave. The wavelength represents the distance between two consecutive crests or troughs of a wave.

Here is how we can approach the problem:

Step 1: Find the time it takes for the sound wave to travel the given distance.

To find the time, we can convert the given time of 5 minutes to seconds since the speed of sound is typically measured in meters per second. There are 60 seconds in a minute, so 5 minutes is equal to 5 * 60 = 300 seconds.

Step 2: Calculate the frequency of the wave.

Frequency is the number of crests (or troughs) that pass a fixed point per unit of time. In this case, we can calculate the frequency by dividing the distance traveled by the time it took:

Frequency (f) = Distance / Time

The distance is given as 1020 m, and the time is 300 seconds.

Step 3: Calculate the wavelength of the sound wave.

The wavelength (λ) represents the distance between two consecutive crests (or troughs). If we assume the length of three crests equals the wavelength, we can divide this length by 3 to find the average length of one crest. So, the wavelength will be 15 m divided by 3, which is 5 m.

Step 4: Calculate the wave speed.

The wave speed (v) of a sound wave can be determined by multiplying the frequency (f) by the wavelength (λ):

Wave Speed (v) = Frequency (f) * Wavelength (λ)

Substituting the calculated values, we have:

v = f * λ
v = (1020 m / 300 s) * 5 m
v = 17 m/s

Therefore, the speed of the sound wave is 17 m/s.

Please note that this solution is based on an assumption about the meaning of the phrase "length of three successive crests" in the question.