- #1

ghdalswn Source htt

- 6

- 0

- Homework Statement
- Using the value of μ, plot a graph based on the data from a table and vice versa.

- Relevant Equations
- f=(n/2L) (√(T/μ)) (equation 1)

μ =T(n^2)/(4L^2)(f^2)

f frequency (Hz)

n Harmonic mode number (1,2,3,4,5)

L Length of string (1m)

T Tension of string (N)

μ linear mass density (mass per unit length)(kg/m)

These are the questions that I can't figure out how to do.

I have been assigned a lab report based on resonating frequencies on a string and am having trouble completing some of the questions in the report. This is what i currently have from the previous steps required.

A bit of info regarding the experiment that was performed:

- A piece of string was attached to a vibration machine that will oscillate the string. The vibration machine is also connected to a signal generator that controls what frequency is chosen.

- At the end of the string a mass is attached. (Starts from 0.1kg and increases to 0.5kg in 0.1kg increments). The length of the string from the vibration machine to the point of contact on the opposite side is 1m. (This is L in the experiment.)

I don't know what to do next. I tried finding the values of μ by re-arranging equation 1. I made μ the subject.

So far i have (8.0 ± 0.5)10^-4 kg/m and (8.0 ± 0.9)10^-4 kg/m for m1 and m2. (m1 and m2 are the mass 0.1kg and 0.2kg respectively). I got these values by placing in the numbers, from table 1, into the formula i derived. I did this for all rows for mass 0.1kg(m1) and mass 0.2 kg(m2) to eventually find the best estimate (i added all the derived values and divided by 5) and the uncertainty (highest value - minus lowest value then divided by 5). However, i don't think this is the right direction as I didn't get how to link these values in regards to table 2.I would be very thankful for any assistance.

I have been assigned a lab report based on resonating frequencies on a string and am having trouble completing some of the questions in the report. This is what i currently have from the previous steps required.

A bit of info regarding the experiment that was performed:

- A piece of string was attached to a vibration machine that will oscillate the string. The vibration machine is also connected to a signal generator that controls what frequency is chosen.

- At the end of the string a mass is attached. (Starts from 0.1kg and increases to 0.5kg in 0.1kg increments). The length of the string from the vibration machine to the point of contact on the opposite side is 1m. (This is L in the experiment.)

I don't know what to do next. I tried finding the values of μ by re-arranging equation 1. I made μ the subject.

So far i have (8.0 ± 0.5)10^-4 kg/m and (8.0 ± 0.9)10^-4 kg/m for m1 and m2. (m1 and m2 are the mass 0.1kg and 0.2kg respectively). I got these values by placing in the numbers, from table 1, into the formula i derived. I did this for all rows for mass 0.1kg(m1) and mass 0.2 kg(m2) to eventually find the best estimate (i added all the derived values and divided by 5) and the uncertainty (highest value - minus lowest value then divided by 5). However, i don't think this is the right direction as I didn't get how to link these values in regards to table 2.I would be very thankful for any assistance.

#### Attachments

Last edited: