A transverse periodic wave is established on a string. The wave isdescribed by t

Question

A transverse periodic wave is established on a string. The wave isdescribed by the expression:y = 0.05 sin(20.0x - 2nft) where y is in meterswhen x and t are in metersand seconds, respectively. If the wave travels with a speed of 20.0m/s, what is its frequency, f?
where y is in meterswhen x and t are in metersand seconds, respectively. If the wave travels with a speed of 20.0m/s, what is its frequency, f?
where y is in meterswhen x and t are in metersand seconds, respectively. If the wave travels with a speed of 20.0m/s, what is its frequency, f?

Explanation / Answer

Given        Wave equation      y = 0.05 sin (20 x - 2nf t ) The above equation is compared with original transversewave equation                              y = A sin (t + kx )   amplitude   A   = 0.05       wave number   k = 20            Wavelength of the wave   = 2 / k                                                            = 2    / 20                                                          = 0.314 m            The relation between    frequency and velocity is                         f = v /                             = 20 / 0.314                             = 63.69 Hz

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