Solving for Wavelength of a Harmonic Wave

AI Thread Summary
To solve for the wavelength of a harmonic wave, first determine the frequency by calculating the number of vibrations per second, which is 40.0 vibrations in 30.0 seconds, yielding a frequency of 1.33 Hz. Next, calculate the speed of propagation by dividing the distance traveled (425 cm) by the time taken (10.0 s), resulting in a speed of 42.5 cm/s. The relationship between speed, wavelength, and frequency is given by the formula: speed = wavelength × frequency. Rearranging this formula allows for the calculation of wavelength. By substituting the known values into the equation, the wavelength can be determined.
physics_ash82
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ok I need help starting this problem. I always have trouble seeing which formula to use so ant thoughts would be helpful

A harmonic wave is traveling along a rope. It is observed that the oscillator that generates the wave completes 40.0 vibrations in 30.0 s. Also, a given maximum travels 425 cm along the rope in 10.0 s. What is the wavelength?
 
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physics_ash82 said:
It is observed that the oscillator that generates the wave completes 40.0 vibrations in 30.0 s.
This gives you the frequency.

physics_ash82 said:
Also, a given maximum travels 425 cm along the rope in 10.0 s.
This gives you the speed of propagation.

physics_ash82 said:
What is the wavelength?
You know frequency and speed and you need wavelength. Do you know any formula relating these quantities?
 
so I would use the formula a=Aw^2cos(wt)
 
physics_ash82 said:
so I would use the formula a=Aw^2cos(wt)
No. You'd use a formula relating the frequency, speed and wavelength of a traveling harmonic wave.
 
Answer

Ok I hate seeing people trouble through homework
especially if your name is ashley (personal joke):biggrin:

Anyway the formula you need is pretty simple and straightforward

speed= wavelenght * frequency

I don't quite know how to place greek letters in this forum but that's basically it.

you should know how to get the speed which is simply distance/time
and the frequency should be obtained by the number of vibrations per second.

Just solve for lambda err wavelenght and plug in numbers :D
 

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