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The average time it takes a pendulum to swing is 3.5 seconds. What absolute uncertainty must your measurement have to keep the relative uncertainty below 1%?

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Given

The average time it takes a pendulum to swing is 3.5 seconds. What absolute uncertainty must your measurement have to keep the relative uncertainty below 1%?

Procedure

The relative uncertainty or relative error formula is used to calculate the uncertainty of a measurement compared to the size of the measurement. It is calculated as:

relative uncertainty = absolute error / measured value

3.5*1% = 0.035

3.5 +/- 0.035

The absolute uncertainty would be +/- 0.035

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