A wave has 16 cycles in 208 m of space. It’s frequency is 4hz. What is the velocity of the wave

Question

A wave has 16 cycles in 208 m of space. It’s frequency is 4hz. What is the velocity of the wave

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Thạch Thảo 2 months 2021-07-31T16:09:05+00:00 1 Answers 5 views 0

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    2021-07-31T16:10:39+00:00

    Answer:

    52 m/s

    Explanation:

    Wavelength is the distance between two successive crests. Two crests make one circle hence 16 cycles are equal to 16 wavelengths. Each wavelength is equal to 208/16=13 m long

    Speed of wave is given as the product of wavelength and frequency, expressed as

    S=fw

    Where f is the frequency and w is the wavelength

    Substituting 13 m for w and 4 Hz for f then

    S=4*13=52 m/s

    Therefore, the speed is equivalent to 52 m/s

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