A snapshot graph of a travelling wave is shown. The wave is travelling to the right at 32.0 m/s.

a) What is the amplitude if the maximum displacement is 28.0 cm and the total distance travelled by the wave is 26.0 m?

b)What is the wavelength of the wave?

c)What is the frequency of the wave?

I got a), but I don't know how to figure out b) and c). What would you look for in the graph to calculate the wavelength and frequency? or if you don't have to use the graph, is there a formula that can be used?

The maximum displacement IS the amplitude.

You will have to measure the distance between crests to get the wavelength. You have provided no numbers to tell what it is... unless that is what you called the "total distance travelled" . Waves just keep on going, so the "distance travelled" on a graph doesn't make nuch sense.

The frequency is the wave speed divided by the wavelength.

thanx

the total distance refers to the distance shown in the snapshot. i had to divide the distance by the number of increments on the graph to determine how much each increment represented. i used this to find wavelength.

To calculate the wavelength and frequency of a wave, you can use the formula:

wavelength = speed / frequency

In this case, the speed of the wave is given as 32.0 m/s, and the total distance traveled by the wave is given as 26.0 m (which corresponds to one full wavelength).

b) To find the wavelength, divide the total distance traveled by the wave by the number of wavelengths:

wavelength = total distance / number of wavelengths

In this case, since the total distance traveled is 26.0 m and there is one wavelength, the wavelength will be equal to the total distance traveled.

Therefore, the wavelength is 26.0 m.

c) To find the frequency, rearrange the wavelength formula:

frequency = speed / wavelength

Substituting the values, we have:

frequency = 32.0 m/s / 26.0 m

Therefore, the frequency of the wave is approximately 1.23 Hz.

To calculate the wavelength and frequency of a wave, you don't necessarily need the graph. There are formulas that can be used based on the given information. Here's how you can calculate them:

b) Wavelength (λ):
The wavelength of a wave is the distance between two consecutive points that are in phase with each other. In the given information, we are provided with the speed of the wave (v) and the total distance traveled by the wave (d). The formula to calculate the wavelength is:

λ = d / n,

where d is the total distance traveled by the wave and n is the number of complete wavelengths in that distance. In this case, the total distance is given as 26.0 m. We need to find the number of complete wavelengths (n) first.

To find the number of complete wavelengths (n), we can use the formula:

n = d / λ_max,

where λ_max represents the maximum displacement. Here, the maximum displacement is given as 28.0 cm. To convert it to meters, we divide it by 100:

n = 26.0 m / (28.0 cm / 100) = 92.86.

Since the number of complete wavelengths should be a whole number, we can approximate it to the nearest whole number. Therefore, n ≈ 93.

Now, we can calculate the wavelength using the formula:

λ = d / n = 26.0 m / 93 ≈ 0.280 m.

So, the wavelength of the wave is approximately 0.280 m.

c) Frequency (f):
The frequency of a wave is the number of complete cycles that the wave completes in one second. It is measured in Hertz (Hz).

The formula to calculate the frequency of a wave is:

f = v / λ,

where v is the speed of the wave and λ is the wavelength.

In this case, the speed of the wave is given as 32.0 m/s, and we have already calculated the wavelength as approximately 0.280 m.

Plugging the values into the formula:

f = 32.0 m/s / 0.280 m ≈ 114.3 Hz.

So, the frequency of the wave is approximately 114.3 Hz.