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Waves on a string are described by the following general equation y(x, t) = A cos(kx - wt). A transverse wave on a string is traveling in the + direction with a wave speed of 9.00 m/s, an amplitude of 8.50×10-2 m, and a wavelength of 0.620 m. At time t = 0, the x = 0 end of the string has its maximum upward displacement. Find the transverse displacement y of a particle at x = 1.66 m and t = 0.150 s.

Waves on a string are described by the following general equation y(x, t) = A cos(kx - wt). A transverse wave on a string is traveling in the + direction with a wave speed of 9.00 m/s, an amplitude of 8.50×10-2 m, and a wavelength of 0.620 m. At time t = 0, the x = 0 end of the string has its maximum upward displacement. Find the transverse displacement y of a particle at x = 1.66 m and t = 0.150 s.

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Waves on a string are described by the following general equation y(x, t) = A cos(kx – wt). A transverse wave on a string is traveling in the + direction with a wave speed of 9.00 m/s, an amplitude of 8.50×10-2 m, and a wavelength of 0.620 m. At time 0, the x = 0 end of the string has its maximum upward displacement. Find the transverse displacement y of a particle at x = 1.66 m and t = 0.150 s. -
Transcribed Image Text:Waves on a string are described by the following general equation y(x, t) = A cos(kx – wt). A transverse wave on a string is traveling in the + direction with a wave speed of 9.00 m/s, an amplitude of 8.50×10-2 m, and a wavelength of 0.620 m. At time 0, the x = 0 end of the string has its maximum upward displacement. Find the transverse displacement y of a particle at x = 1.66 m and t = 0.150 s. -
In general, the cosine function has maximum displacements, either positive or negative, when its argument is equal to an integer multiple of. When t = 0.150 s, k = 10.1 rad/m, and w = 91.1 rad/s use the wave equation to select all of the positions that correspond to points of maximum displacement. Check all that apply considering only positive arguments of the cosine function. 0.830 m 1.66 m 1.82 m 1.98 m 2.14 m 2.29 m
Transcribed Image Text:In general, the cosine function has maximum displacements, either positive or negative, when its argument is equal to an integer multiple of. When t = 0.150 s, k = 10.1 rad/m, and w = 91.1 rad/s use the wave equation to select all of the positions that correspond to points of maximum displacement. Check all that apply considering only positive arguments of the cosine function. 0.830 m 1.66 m 1.82 m 1.98 m 2.14 m 2.29 m
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