What Is the Speed of Waves on a Guitar String?

AI Thread Summary
The discussion centers on calculating the speed of waves on a 65-cm guitar string resonating at specific frequencies between 1.0 and 2.0 kHz. The relevant equation is f = v/2l, where 'l' represents the length of the string. A participant initially miscalculated the speed by not converting kilohertz to hertz, leading to an incorrect result. After receiving feedback, they acknowledged the oversight regarding unit conversion. Accurate calculations require proper unit adjustments to determine the wave speed in meters per second.
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Homework Statement


A 65-cm guitar string is fixed at both ends. In the frequency range between 1.0 and 2.0 kHz, the string is found to resonate only at frequencies 1.2, 1.5, and
1.8kHz .

What is the speed of traveling waves on this string?

Homework Equations


f = v/2l

The Attempt at a Solution


[/B]
Each one of these is a multiple of .3 so i think that is the fundamental frequency. Then I use f=v/2l or
v=2lf
v= 2 * .65 * .3
v = .39

but i did it wrong. can someone help please
 
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Check your units. You need to convert kHz to Hz in order to come up with a velocity in m/s.
 
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toothpaste666 said:

Homework Equations


f = v/2l

What does "l" mean in that equation? And where does the equation come from?
 
jz92wjaz said:
Check your units. You need to convert kHz to Hz in order to come up with a velocity in m/s.
oh wow can't believe i missed that. thank you
 

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