Given the transverse equation on water: y(x,t) = (0.502 m) cos (0.00450 m^-1 +6.28 s^-1 t) (a) what is amplitude, wave number, angular frequency, wavelength, and natural frequency? (b) what is the speed of the wave? where is the wave moving? (ex. x, y, or z? positive or negative?) (c) what is the direction of the oscillation of the water volume? (ex. x,y,z?)

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Given the transverse equation on water:

y(x,t) = (0.502 m) cos (0.00450 m^-1 +6.28 s^-1 t)

(a) what is amplitude, wave number, angular frequency, wavelength, and natural frequency?

(b) what is the speed of the wave? where is the wave moving? (ex. x, y, or z? positive or negative?)

(c) what is the direction of the oscillation of the water volume? (ex. x,y,z?) 

(d) If a small buoy is floating on the water surface, what is the highest point it will reach relative to the normal water level? (without the wave)

(e) If a small buoy is floating on the water surface, what is the fastest speed it can have due to the wave?

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