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Scientists use wave tanks to show the behaviour of waves - Edexcel - GCSE Physics - Question 1 - 2016 - Paper 1

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Scientists use wave tanks to show the behaviour of waves. The diagram shows a wave tank from the side. The length of the tank = 36m (i) Calculate the wavelength of... show full transcript

Worked Solution & Example Answer:Scientists use wave tanks to show the behaviour of waves - Edexcel - GCSE Physics - Question 1 - 2016 - Paper 1

Step 1

Calculate the wavelength of the waves.

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Answer

To find the wavelength, we can use the formula for wavelength:

wavelength=length of tanknumber of waves\text{wavelength} = \frac{\text{length of tank}}{\text{number of waves}}

Given that the length of the tank is 36 meters and there are 8 waves, we substitute into the formula:

wavelength=36 m8=4.5 m\text{wavelength} = \frac{36 \text{ m}}{8} = 4.5 \text{ m}

Thus, the wavelength is 4.5 m.

Step 2

Calculate the speed of the wave.

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Answer

To calculate the speed of the wave, we can use the formula:

speed=distancetime\text{speed} = \frac{\text{distance}}{\text{time}}

The distance of the wave corresponds to the length of the tank (36 meters), and the time taken is 20 seconds:

speed=36 m20 s=1.8 m/s\text{speed} = \frac{36 \text{ m}}{20 \text{ s}} = 1.8 \text{ m/s}

Therefore, the speed of the wave is 1.8 m/s.

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