Solve Music Instrument Homework: Velocity & String Tension

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The discussion revolves around calculating the velocity of a wave on a stringed instrument and determining string tension. The string length is 0.75 m, and it vibrates 300 times in 2.5 seconds, equating to a frequency of 120 Hz. The wavelength is calculated as 1.5 m, using the relationship that the distance between nodes corresponds to half the wavelength. The velocity of the wave can be determined using the formula: velocity = wavelength * frequency. Understanding the frequency is crucial for solving the problem effectively.
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Homework Statement


a stringed musical intstrument from a remote tribe in Africa sets up a standing wave along the .75 m length of the string. This length corresponds to the distance between the first node and the seocnd node. The string has a mass of 11.5 grams. The strings vibrates 300 times every 2.5 seconds. what is the velocity of the wave length? and what is the string tension.




Homework Equations


i would be fine in finding the string tension after i find the velocity however, i can't seem to approach in finding the velocity of the wave length

L = .75 m
T = 2.5 sec

landa / 2 = wavelength, thus wavelength = 2*Length which equals to 1.5 m.
But i don't get what they mean when the string vibrates 300 times every 2.5 seconds. Would this setence have to do in solving the volicty? Does vibration has anything dealing in finding with the frequency?

velocity = wavelength*frequency



The Attempt at a Solution

 
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But i don't get what they mean when the string vibrates 300 times every 2.5 seconds. Would this setence have to do in solving the volicty? Does vibration has anything dealing in finding with the frequency?


Yes, they are describing the frequency of vibration. What is the definition of frequency?
 
the number of waves that pass a given point each second. Is it another term of saying wave? vibration = wave?

So.. 300waves/ 2.5 second = that means each second there is 120 waves? so.. 120 Hz?
 
Yes, the frequency is 120 Hz.
 
once again, thx!
 
You're welcome!
 
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