Find Values of p & c in Waves & Resonances Equation

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To determine the values of p and c in the equation logλ = p x log T + log c, the slope p can be found by plotting log T on the x-axis and log λ on the y-axis. Given that λ is 50Hz, the logarithm of 50 is approximately 1.69897, while tension T is calculated using mass multiplied by 9.81 N/kg, ranging from 0.4905 to 2.4525. The equation can be rearranged to log f = log(T^p * c), allowing for comparison with the frequency equation f = (T/μ)^(1/2) * (1/λ). This approach helps identify the constants needed for the solution.
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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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