Problem
In this lab, we were asked to find the linear density of a string using our knowledge of the waves chapter. We were given the string, an oscillator, a pulley, and one weight.
Process
For this task, we started on paper by determining the equation for linear density based on the velocity equation.
v = √(T/µ)
and converted it into
µ = T/(v^2)
which can be translated into
µ = mg/λ
v = √(T/µ)
and converted it into
µ = T/(v^2)
which can be translated into
µ = mg/λ
Pulley System
Conclusion
from our experimental process, we are confident that the linear mass value we were able to identify is very close to its true value. Judging by is small size it fits the profile of the density of the string due to its small mass and long length. The process was repeated for the other harmonics, and we received the same answer.
Evaluating Procedures
Our only source of uncertainty is whether or not we were able to find the true first harmonic, the true second harmonic, and the true third harmonic. We decided whether or not its was a harmonic based on the appearance of the string in the oscillator-pulley system to see if it fits the basic profile of a rudimentary harmonic.
from our experimental process, we are confident that the linear mass value we were able to identify is very close to its true value. Judging by is small size it fits the profile of the density of the string due to its small mass and long length. The process was repeated for the other harmonics, and we received the same answer.
Evaluating Procedures
Our only source of uncertainty is whether or not we were able to find the true first harmonic, the true second harmonic, and the true third harmonic. We decided whether or not its was a harmonic based on the appearance of the string in the oscillator-pulley system to see if it fits the basic profile of a rudimentary harmonic.