Question

suppose that your bathroom scale reacts your mass as 65 kg with a 3% uncertainty. what is the uncertainty in your mass in kilograms?

Answer 1

Suppose that your bathroom scale reacts your mass as 65 kg with a 3% uncertainty the uncertainty in your mass in kilograms is 1.95 kg.

The restriction of the instrument or measuring device leads to uncertainty or mistake in measurements. Uncertainty is a constant in experiments and real-world observations, and it can be stated in terms of per cent error or absolute error. The exact amount of the discrepancy between a quantity's real value and its apparent value The error of measurement, often known as the absolute error, is the discrepancy between the real length and the measured length.

Uncertainty can be expressed in terms of the per cent uncertainty or error per cent error $=\frac{\text { absolute error }}{\text { measurement }} \times 100$.

1) The problem is looking for the absolute error in mass when the scale has an uncertainty of 3 percent.

$\begin{aligned} \text { percent error } &=\frac{\text { absolute error }}{\text { measurement }} \times 100 \\ 3 \% &=\frac{\text { absolute error }}{65 \mathrm{~kg}} \times 100 \\ \text { absolute error } &=\frac{3(65 \mathrm{~kg})}{100} \\ \text { absolute error } &=1.95 \mathrm{~kg} \end{aligned}$

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