A particular guitar string is supposed to vibrate at 220 , but it is measured to vibrate at 230 .
By what percent should the tension in the string be changed to correct the frequency?
I have been working for 7 hours of hw! Please help!
isnt v=sqrt(tension)
but f*lambda= v= sqrt(tension). So leaving the lambda constant, then f is proportional to sqrt tension
230/220= sqrt (tension/orgtension)
square both sides, solve for tension, then find the percent increase.
To find the percent change in tension needed to correct the frequency, we can use the formula for percent change. The percent change is given by the formula:
Percent Change = (New Value - Old Value) / Old Value * 100
In this case, the old frequency (measured vibration) is 230 and the desired frequency is 220. So we can substitute these values into the formula:
Percent Change = (220 - 230) / 230 * 100
Simplifying the equation:
Percent Change = (-10) / 230 * 100
Percent Change = -4.34%
Therefore, the tension in the guitar string needs to be decreased by approximately 4.34% (or to be more precise, decreased by 4.34783%) to correct the frequency to 220.