- #1
phyzeek
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1. A banjo string 36.0 cm long oscillates in a standing wave pattern. It resonates in its
fundamental mode at a frequency of 250 Hz. What is the tension in the string if 80.0 cm of the
string has a mass of 0.75 grams?
k=2pi/lamda
velocity=sqrt(F_tension/miu)
miu=m/l
w=2pif
v=sqrt(F_t/miu)
solved for miu and plugged into equation: 7.5*10^-4/.8
v=lamdaf
L=lamda/2
--> v=2Lf
v=2(.8)(250)
then equated both equations
i think i got confused with which length to use
fundamental mode at a frequency of 250 Hz. What is the tension in the string if 80.0 cm of the
string has a mass of 0.75 grams?
Homework Equations
k=2pi/lamda
velocity=sqrt(F_tension/miu)
miu=m/l
w=2pif
The Attempt at a Solution
v=sqrt(F_t/miu)
solved for miu and plugged into equation: 7.5*10^-4/.8
v=lamdaf
L=lamda/2
--> v=2Lf
v=2(.8)(250)
then equated both equations
i think i got confused with which length to use