A woman is standing in the ocean, and she notices that after a wave crest passes

Question

A woman is standing in the ocean, and she notices that after a wave crest passes, five more crests pass in a time of 38.0 s. The distance between two successive crests is 40 m. Determine, if possible, the following properties of the wave. (If not possible, enter NOT POSSIBLE.)

___________ m

Tsunamis are fast-moving waves generated by underwater earthquakes. In the deep ocean their amplitude is barely noticeable, but upon reaching shore, they can rise up to the astonishing height of a six-story building. One tsunami, generated off the Aleutian islands in Alaska, had a wavelength of 650 km and traveled a distance of 3700 km in 4.9 h.

(a) What was the speed (in m/s) of the wave? For reference, the speed of a 747 jetliner is about 250 m/s.
_______________ m/s

(b) Find the wave's frequency.
__________________ Hz

(c) Find the wave's period.
_____________________ s

The drawing shows a graph that represents a transverse wave on a string. The wave is moving in the +x direction with a speed of 0.15 m/s. Using the information contained in the graph, write the mathematical expression similar to the equation below for the wave. (Use the following as necessary: x and t. Do not include units in your answer.)

y = A sin

2ft

y = A sin

2ft +

period __________ s frequency ___________ Hz wavelength ____________m speed ____________ m/s amplitude

___________ m

Tsunamis are fast-moving waves generated by underwater earthquakes. In the deep ocean their amplitude is barely noticeable, but upon reaching shore, they can rise up to the astonishing height of a six-story building. One tsunami, generated off the Aleutian islands in Alaska, had a wavelength of 650 km and traveled a distance of 3700 km in 4.9 h.

(a) What was the speed (in m/s) of the wave? For reference, the speed of a 747 jetliner is about 250 m/s.
_______________ m/s

(b) Find the wave's frequency.
__________________ Hz

(c) Find the wave's period.
_____________________ s

The drawing shows a graph that represents a transverse wave on a string. The wave is moving in the +x direction with a speed of 0.15 m/s. Using the information contained in the graph, write the mathematical expression similar to the equation below for the wave. (Use the following as necessary: x and t. Do not include units in your answer.)

y = A sin

(

2ft

2x

y = A sin

2ft +

2x

y =______ m

Explanation / Answer

T = period = number of crests / total time = 5/38 = 0.132 sec

frequency is given as

f = 1/T = 1/0.132 = 7.6 Hz

wavelength = distance between two successive crests = 40 m

speed is given as

V = f x wavelength = 7.6 x 40 = 304 m/s

Amplitude : Not possible

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