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Hey, my physics teacher isn't so helpful, I need a how to on this question:

A periodic transverse wave that has a frequency of 10.0 Hz travels along a string. The distance between a crest and either adjacent trough is 2.50 m. What is it's wavelength?

I know that period=1/frequency, frequency=1/period, and speed=wavelength/period. I also know I need the third equation to solve this, but how do I find speed? What am I supposed to do with it?

If someone could do a little walkthrough, it'd be greatly appreciated!

Thanks everyone.

2007-04-01 08:44:16 · 3 answers · asked by ? 2 in Science & Mathematics Physics

3 answers

Wavelenght is the distance from a crest to another crest, or a trough to another trough. Since the distance from a crest to a trough is 2.5, you can double that distance to find the distance from a crest to the next crest, 5m.

Think of period as the time it takes for one wave to complete a cycle, and think of frequency as the number of waves that complete their cycles in 1 second.

To find the speed of the wave, simply divide its wavelenght (5) by its period (1/10). Another way is to use the alternate form of the speed equation, if you know frequency instead of period (if you know one, you can find the other easily, but this saves time):

speed = frequency * wavelenght

Multiply 5 * 10 to get 50 m/sec, which is the speed of this wave.

I hope this helped, and good luck!

2007-04-01 09:12:42 · answer #1 · answered by pedros2008 3 · 0 0

Below is the links referencing wave phenomena. Check them out.

Wavelength L=2x2.5 m=5m (the length from valley to valley or from crest to crest) from distance between a crest and either adjacent trough is a the of wavelength.

Let me know if it helps.

2007-04-01 09:03:12 · answer #2 · answered by Edward 7 · 0 0

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2016-10-02 01:03:13 · answer #3 · answered by ? 4 · 0 0

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