Your friend is using their hand to wiggle a large rope such that a wave travels through it. They move their hand upwards twice every second, a total distance of 0.5m from the bottom to the top. All disturbances travel through the rope at a speed of 2 m/s. Mathematically describe the vertical displacement of the rope as a function of time t and horizontal position x. Explain your work in detail. You can assume that when your friend's hand is in the maximum up position is when you start counting time. You let your friend get comfortable with making the wave, and then you snap two pictures one after another at time t=5.00s and at t=5.25s. Draw y-vs-x graphs (with axes labels and values) showing what the wave looked like those two moments in time. Explain how you determined the shape of the graphs.

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Chapter17: Sound
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Problem 34P: The displacement of the air molecules in sound wave is modeled with the wave function...
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Your friend is using their hand to wiggle a large rope such that a wave travels through it. They
move their hand upwards twice every second, a total distance of 0.5m from the bottom to the top.
All disturbances travel through the rope at a speed of 2 m/s.
Mathematically describe the vertical displacement of the rope as a function of time t and
horizontal position x. Explain your work in detail. You can assume that when your friend's hand is
in the maximum up position is when you start counting time.
You let your friend get comfortable with making the wave, and then you snap two pictures one
after another at time t=5.00s and at t=5.25s.
Draw y-vs-x graphs (with axes labels and values) showing what the wave looked like those two
moments in time. Explain how you determined the shape of the graphs.
Transcribed Image Text:Your friend is using their hand to wiggle a large rope such that a wave travels through it. They move their hand upwards twice every second, a total distance of 0.5m from the bottom to the top. All disturbances travel through the rope at a speed of 2 m/s. Mathematically describe the vertical displacement of the rope as a function of time t and horizontal position x. Explain your work in detail. You can assume that when your friend's hand is in the maximum up position is when you start counting time. You let your friend get comfortable with making the wave, and then you snap two pictures one after another at time t=5.00s and at t=5.25s. Draw y-vs-x graphs (with axes labels and values) showing what the wave looked like those two moments in time. Explain how you determined the shape of the graphs.
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