Calculating Uncertainty in Spring Period Measurement

AI Thread Summary
To calculate the uncertainty in the period of a spring influenced by gravity, the measured extension is given as x = 0.10m ± 0.01. The formula for the period is T = 2∏√(x/g). The uncertainty in the period, denoted as σT, can be calculated using the formula σT = dT/dx * σx. This approach is confirmed to be correct for determining the uncertainty in the period measurement. Understanding these calculations is essential for accurate physical measurements.
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I want to calculate the uncertainty in the period for a spring, when I have measured the extension of it under the influence of gravity.
Call that x and say I got:
x=0.10m ± 0.01
And we know that:
T = 2∏√(x/g)
Is it then correct to use the following formula for the uncertainty σT:
σT = dT/dx * σx
 
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That would work, yep.
 

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