A transverse wave is found to have a distance of 7.5 cm from a trough to a crest, a frequency of 12 Hz, and a distance of 7.5 cm from a crest to the nearest trough. Determine the amplitude, period, wavelength and speed of such a wave.

The wavelength λ happens to be the distance between any two nearest identical points (e.g., troughs):

λ= 7.5 +7.5 = 15 cm.

The period is reciprocal to the frequency: T = 1/f = 1/12 s = 0.083 s.

The speed of the wave is v = λ / T = 15 cm / (1/12 s) = 180 cm/s.

Finally, from the given data it is impossible to determine the amplitude (need more data).

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