Solve Wave Movement Homework: Speed, Wavelength & Period

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To solve the homework problem, the speed of sound needs to account for the total distance traveled by the sound wave, which is double the distance to the cliff. Since the echo is heard 4 seconds later, the correct speed of sound is calculated by dividing the total distance (1470 m) by the time (4 s), resulting in a speed of 367.5 m/s. For the second part, the frequency can be found using the formula frequency = speed/wavelength, leading to a frequency of 502.5 Hz. The period of the wave can then be calculated as the inverse of the frequency, resulting in a period of approximately 1.99 ms. Understanding these relationships is crucial for correctly solving wave movement problems.
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Homework Statement


A hiker shouts toward a vertical cliff 735 m away. The echo is heard 4.00 s later.
(a) What is the speed of sound of the hiker's voice in air?
[] m/s
(b) The wavelength of the sound is 0.732 m. What is its frequency?
[] Hz
(c) What is the period of the wave?
[] ms

(taken from webassign)


Homework Equations



I would have thought it was V=d/s, but it doesn't work that way with this wave problem. Do I need to know the speed of sound?

The Attempt at a Solution



I took 735/4 but it told me it was the wrong answer. I'm pretty sure I could figure out the rest of the problem if I could find velocity, so any help with that?

While I'm at it though

Homework Statement


Water waves in a shallow dish are 5.5 cm long. At one point, the water moves up and down at a rate of 5.5 oscillations per second.
(a) What is the speed of the water waves?
[] m/s
(b) What is the period of the water waves?
[] s

Similar to the last problem, but I'm really clueless for this one.

I have until midnight to get these problems finished, so quick help would be appreciated. I don't even need the answer necissarily, just a way of solving it. Thanks
 
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I took 735/4 but it told me it was the wrong answer. I'm pretty sure I could figure out the rest of the problem if I could find velocity, so any help with that?

For him to have heard the echo, the sound has to hit the wall and then come back and hit him... so... maybe 4seconds isn't the time you should be using...
 
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The distance traveled by the wave is not 735 meters. That is the distance to the cliff. From this, find how far the wave travels during the four seconds that it takes for the shout to return to the hiker.
 
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