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

Respuesta :

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

[tex]{\%}una = \frac{\delta A}{A}100{\%}[/tex]

Given , [tex] A= 65kg[/tex] , [tex]{\%} una = 3 {\%}[/tex]

Therefore,

[tex]3{\%}= \frac{\delta A}{65 kg} 100{\%}[/tex]

or

[tex]\delta A= \frac{3{\%}}{100{\%}} \times 65kg =1.95 kg[/tex]

Thus, the uncertainty in mass is 1.95 kg

From the question, the uncertainty in the measurement of the bathroom scale is ±1.95.

What is uncertainty?

The term uncertainty has to do with the unclarity that is associated with a measurement. It is common to measure the degree of uncertainty as a percentage.

Now we are told that the uncertainty is 3% hence;

3/100 * 65 = ±1.95

Learn more about uncertainty:https://brainly.com/question/24652157

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