How can I use the formula k=4pi^2m/T^2 to find the mass of a bolt?

[Chely]

Homework Statement

Use your data to calculate the spring constant, k, of the spring. (Hint: What variables do you need to plot in order to produce a linear graph in order to calculate k?)

Relevant Equations

T^2=\frac{{4\pi}^2}{\kappa}m,\ which\ can\ be\ compared\ to\ y=mx+c
k=\frac{{4\pi}^2m}{T^2}\Longrightarrow=\frac{{4\pi}^2.05}{{\mathbf{0}.\mathbf{965}}^2}

I managed to isolate k to k=4pi^2/T^2 however I don't know If I did it correctly. I am trying to use K to find the mass of a bolt. I am stuck here, not sure If i need to find all three k's and then average them out?

 

[haruspex]

$T^2=\frac{{4\pi}^2}{\kappa}m$
which can be compared to $y=mx+c$
$k=\frac{{4\pi}^2m}{T^2}\Longrightarrow=\frac{{4\pi}^2.05}{{\mathbf{0}.\mathbf{965}}^2}$

I managed to isolate k to $k=4\pi^2/T^2$ however I don't know If I did it correctly. I am trying to use K to find the mass of a bolt. I am stuck here, not sure If i need to find all three k's and then average them out?

I assume you mean $k=4\pi^2m/T^2$. But then you used that with just one pair of values. The idea of having it in the form y=mx+c is to decide what x and y correspond to in your measurements then plot y against x and use linear regression to find the best fit. The slope then gives you information about k.