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sninger om en bølge: til en bølgebunn fra en bølgetopp er 1 m ja til en bølgetopp er det 3 m kkurat 4 bølgetopper forbi et bestemt punkt de, amplitude, periode, frekvens og bølgefal

Ask by Nichols Willis. in Norway
Jan 23,2025

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Answer

Amplitude: 1 meter Wavelength: 3 meters Frequency: 1/T (where T is the period) Wave Speed: 3 m / T

Solution

Alright, I need to analyze the given information about the wave and determine the amplitude, period, frequency, and wave speed based on the provided data. Let's break down the information step by step. First, the problem states: - The distance from a wave trough to a wave crest is 1 meter. - The distance from a wave crest to the next wave crest is 3 meters. - Approximately 4 wave crests pass a fixed point. From the first piece of information, the distance from a trough to a crest is 1 meter. In wave terminology, this distance is known as the **amplitude**. So, the amplitude (A) of the wave is 1 meter. Next, the distance from a crest to the next crest is 3 meters. This distance represents the **wavelength** (λ) of the wave. Therefore, the wavelength is 3 meters. Now, the problem mentions that approximately 4 wave crests pass a fixed point. This implies that the time it takes for 4 crests to pass a point is the **period** (T) of the wave. To find the period, we can use the relationship between wavelength, speed, and frequency. However, since we don't have the speed yet, we'll need to find another way to determine the period. Assuming that the 4 crests passing a point in a certain time interval is related to the frequency, we can think about how many crests pass per second. If 4 crests pass in a given time, the frequency (f) can be calculated as the number of crests divided by the time interval. But without the time, we can't directly calculate the frequency. Instead, we can relate the period to the wavelength and speed. The frequency (f) is the reciprocal of the period (T), so f = 1/T. The speed (v) of the wave is given by the product of wavelength and frequency, v = λ * f. Substituting f from the first equation into the second gives v = λ / T. But we still need to find the period or the speed to determine the frequency. Since we have the wavelength and the amplitude, but not the speed, we might need to make an assumption or find another relationship. Alternatively, if we consider the distance between crests and the number of crests passing a point, we can infer the period. If 4 crests pass a point in a certain time, and the distance between crests is 3 meters, we can think about the speed if we assume a certain time interval. However, without additional information about the time it takes for these crests to pass, it's challenging to determine the exact period or frequency. If we assume that the time interval is such that 4 crests pass in that time, we can express the period in terms of the wavelength and the number of crests. Let's denote the time interval as t. Then, the number of crests passing in time t is 4, so the period T = t. The frequency f = 1/T = 1/t. But without knowing t, we can't find a numerical value for f. Therefore, we might need to express the frequency in terms of the given parameters. Alternatively, if we consider the speed, and assuming a standard speed for waves, we could estimate the period. For example, if the speed of the wave is known or can be assumed, we could calculate the period using v = λ / f. In summary, with the given information: - Amplitude (A) = 1 meter - Wavelength (λ) = 3 meters - Frequency (f) = 1/T, where T is the period - Wave speed (v) = λ * f To find the exact period or frequency, additional information about the time interval or the speed of the wave is needed.

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Extra Insights

Når vi snakker om bølger, er amplituden høyden fra bølgebunnen til bølgetoppen. I ditt tilfelle er amplitude 1,5 m, siden avstanden fra bølgebunn (1 m) til bølgetopp (3 m) er 2 m totalt, men vi tar høyden fra midten opp til toppen, som er 1,5 m. Periode, som er tiden det tar for én bølge å passere et punkt, kan beregnes dersom du vet tiden det tar for de 4 bølgetoppene å passere. Hvis de fire toppene passerer på for eksempel 2 sekunder, vil perioden være 0,5 sekunder per bølge. Frekvensen er deretter den inverse av perioden; hvis perioden er 0,5 sekunder, er frekvensen 2 Hz.

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