Find Values of p & c in Waves & Resonances Equation

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The discussion focuses on determining the values of p and c in the equation logλ = p x log T + log c, where log T is plotted on the x-axis and logλ on the y-axis. The user identifies λ as 50Hz, with log10(50) calculated as 1.69897, and tension T defined as mass multiplied by 9.81 N/kg. The tension ranges from 0.4905 to 2.4525. A rearrangement of the equation suggests that frequency f can be expressed as f = T^p * c, allowing for the comparison with the equation f = (T/μ)^(1/2) * (1/λ) to find constants.

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Determine the values of p & c
Use the equation logλ = p x log T + log c
Where log T is on the x-axis and logλis on the y axis.
T is tension C is a constant and I have to find p which will be the slope of the graph plotted.
λ was 50Hz I think that log 10 of 50 is 1.69897. T is the mass x 9.81 N kg-1
T ranges from 0.4905 to 2.4525.
How do I determine C?

It is probably very simple for most of you but for me it is a complete mystery. The longer I struggle the more circles I complete.
Thank you for any help or advice you can offer.
 
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CharlieChurch said:
Determine the values of p & c
Use the equation logλ = p x log T + log c
Where log T is on the x-axis and logλis on the y axis.
T is tension C is a constant and I have to find p which will be the slope of the graph plotted.
λ was 50Hz

It is probably very simple for most of you but for me it is a complete mystery. The longer I struggle the more circles I complete.
Thank you for any help or advice you can offer.

you can rearrange your equation as

logf=log(Tp*c)

so that will give you
f=Tp*c

now compare it with the equation

f=(\frac{T}{μ})1/2\frac{1}{λ}

check for constants.

Note:I am using "f" as frequency. In your problem you have taken it as λ
in my solution i have taken λ as wavelength.
 
Thank you, I shall try that and report back.
 

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