Posted by melissa on Thursday, December 13, 2012 at 12:24pm.
A particular guitar string is supposed to vibrate at 210Hz , but it is measured to vibrate at 220Hz
By what percent should the tension in the string be changed to correct the frequency?

physics  Elena, Thursday, December 13, 2012 at 12:49pm
v=sqrt(T•L/m)
λ=v/f => f=v/λ= sqrt(T•L/m)/ λ
f₁/f₂={sqrt(T₁•L/m)/ λ}/{sqrt(T₂•L/m)/ λ}
(f₁/f₂)² =T₁/T₂
T₂=T₁(f₂/f₁)²
(T₂T₁)/T₁=(T₂/T₁) 1=(f₂/f₁)²1=(220/210)²1=0.0975.
=> 9.75%