# Spring constant and uncertainty in spring constant calculation

## Homework Statement

The spring constant (k) and uncertainty in the spring constant(sigma_k) have to be calculated with the values available for: period (T), number of oscillations (N), mass (m), time, slope and uncertainty in slope. The spring constant can be done with the first equation but I have no idea how to calculate the uncertainty in the spring constant.

## Homework Equations

k=[4(pi)^2]/slope

[k+/- (sigma_k)] = [4(pi)^2]/[slope +/- (sigma_k)]

LowlyPion
Homework Helper

## Homework Statement

The spring constant (k) and uncertainty in the spring constant(sigma_k) have to be calculated with the values available for: period (T), number of oscillations (N), mass (m), time, slope and uncertainty in slope. The spring constant can be done with the first equation but I have no idea how to calculate the uncertainty in the spring constant.

## Homework Equations

k=[4(pi)^2]/slope

[k+/- (sigma_k)] = [4(pi)^2]/[slope +/- (sigma_k)]

## The Attempt at a Solution

The only uncertainty you have in k - given your formula - is the uncertainty in the slope.
There is no uncertainty in the constants like π, so you use the percentage uncertainty of the slope as the percentage uncertainty of k.