A 3.0 Hz wave with an amplitude of 12 cmand a wavelength of 30.0 cm travels alon

Question

A 3.0 Hz wave with an amplitude of 12 cmand a wavelength of 30.0 cm travels along a stretched horizontalstring. (a) How far does a given peak on the wavetravel in a time interval of 3.0 s?
m
(b) How far does a knot on the string travel in the same timeinterval?
m
(c) How would your answers to parts (a) and (b) change if theamplitude of the wave were halved?
(a) How far does a given peak on the wavetravel in a time interval of 3.0 s?
m
(b) How far does a knot on the string travel in the same timeinterval?
m
(c) How would your answers to parts (a) and (b) change if theamplitude of the wave were halved?

Explanation / Answer

For (a) dw = vt = ft = (30*10-2m)(3Hz)(3s) =2.7 m For (b) dk = (4A)(t/T) = 4Aft = 4(12*10-2m)(3Hz)(3s)= 4.32m For (c) The distance traveled by a wave peak is independent of theamplitude, so the answer in part (a) is unchange. Thedistance traveled by the know varies directly with the amplitude,so the answer in part (b) is halved

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