How Do You Calculate Wavelength in Physics Problems?

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Homework Help Overview

The discussion revolves around calculating wavelengths in physics problems, specifically focusing on the frequency of a mosquito's wing flaps and radio waves. The subject area includes wave mechanics and electromagnetic waves.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the formula for wavelength using given frequencies and velocities. Some participants provide feedback on unit conversions and the correct application of the formula. Questions arise regarding the conversion of units, particularly from megahertz to hertz.

Discussion Status

Participants are actively engaging with the problem, offering guidance on the correct formula and unit conversions. There is a mix of interpretations regarding the calculations, but no explicit consensus has been reached on the final answers.

Contextual Notes

There are discussions about the need for unit conversions, particularly from kilometers per second to meters per second and from megahertz to hertz. The original poster expresses uncertainty about the calculations and the implications of the units involved.

zachcumer
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Hey,
I have to answer this question in Physics: A mosquito flaps its wings at 600 vibrations a second, find the wavelength...

What I thought to solve it was to take 340 meters per second divided by 600 Hz...which equals roughly .6... is that correct? If so another problem states that Radio Waves travel at the speed of light 300,000 km/s...What is the wavelength of radio waves received at 100 MHz...I thought 300000/100...maybe?

dunno

thanks
 
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based on the equation wavelength = velocity/frequency I believe you are correct for the bug. make sure your units are converted to m/s and into hz for the second problem. I can't remember the magnitude of a mega-hz so you may be correct in saying they cancel out to Meters, but I would say you are using the formula correctly
 
[tex]v=f\lambda[/tex]

I think that is the equation you will need. Put the numbers you have into in, and rearrange. =]
 
Use [itex]c=f \lambda[/itex]

all EM waves travel at c=3x10[itex]^8[/itex] and the prefix-M (Mega) is [itex]10^6[/itex]
 
so its 300000/1000000?
 
zachcumer said:
so its 300000/1000000?

A megaherz is 10^6 Hz, so 100 Mhz is 10^8. Better use exponential notation than
all those zero's. If you want the wavelength in meters, you have to convert the
speed of light in m/s.
 
zachcumer said:
so its 300000/1000000?


Not exactly but you are on the right lines:

300,000 km/s = 300,000,000 m/s
100MHz = 100,000,000 Hz or 100,000,000 [1/s]

[300,000,000 / 100,000,000] = [m/s]/[1/s] = [m]

So you will get a answer in metres if you divide the Speed of light in m/s with the number of hertz.
 
Thanks...so its 3 meters...thanks..
 

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