Uncertainty of mass in kg

Asked by maham237 @ 12/01/2021 in Physics viewed by 322 People

Suppose that your bathroom scale reads your mass as 65 kg with a 3% uncertainty. what is the uncertainty in your mass (in kilograms)?

Answered by maham237 @ 12/01/2021

If a measurement A is expressed with uncertainty, δA, the percent uncertainty (%unc) is calculated by the formula

${\%}una = \frac{\delta A}{A}100{\%}$

Given , $A= 65kg$ , ${\%} una = 3 {\%}$

Therefore,

$3{\%}= \frac{\delta A}{65 kg} 100{\%}$

$\delta A= \frac{3{\%}}{100{\%}} \times 65kg =1.95 kg$

Thus, the uncertainty in mass is 1.95 kg

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