- Homework Statement:
I am trying to calculate the uncertainty in the spring constant calculated by timing the period of an oscillating spring. The period is T. Plotting a graph if T^2 against m means that the uncertainty in the spring constant is the uncertainty in the gradient. To plot the error bars I need to calculate the uncertainty in T^2.
In the experiment I recorded 10T, repeat 10T, mean 10T, T, T^2
Uncertainty in mean 10T = 1/2 range / mean
In order to find the uncertainty in T do I just divide the absolute uncertainty by 10, or do I need to calculate the % uncertainty in mean 10T then divide this by 10?
Then do I double the % uncertainty in T and use it to calculate the absolute uncertainty in T^2. Or do I calculate the absolute uncertainty in T then double it for the uncertainty in T^2?
- Relevant Equations:
- Uncertainty = 1/2 range /mean
I know how to do the individual uncertainties but just not sure of the order.