A surface ocean wave has an amplitude of 0.60 m and the distance from trough to trough is 8.00 m. It moves at a constant wave speed of 1.50 m/s propagating in the positive x-direction. At t=0, the water displacement at x = 0 is zero, and vy is negative. Assuming the wave can be modeled as a sine wave, write a wave function to model the wave in 3 ways.
1. A surface ocean wave has an amplitude of 0.60 m and the distance from trough to trough is 8.00 m. It moves at a constant wave speed of 1.50 m/s propagating in the positive x-direction. At t=0, the water displacement at x = 0 is zero, and vy is negative. Assuming the wave can be modeled as a sine wave, write a wave function to model the wave in 3 ways.
2. What is the wavelength of the waves you create in a swimming pool if you splash your hand at a rate of 2.3 Hz and the waves propagate at a wave speed of 7.25 m/s? Round your answer to 2 decimal places.
3. A wave is modeled by the wave function y(x,t) = (0.31m) sin[(2π/4.68m)(x-(14.03m/s)t)]. What is the period of the wave? Round your answer to 2 decimal places.
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