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(a) A person’s blood pressure is measured to be120±2mmHg. What is its percent uncertainty? (b) Assuming the same percent uncertainty, what is the uncertainty in a blood pressure measurement of 80 mm Hg?

Short Answer

Expert verified
  1. The measured blood pressure has a percent uncertainty of 2.00%.
  2. The uncertainty in blood pressure is 1 mm Hg.

Step by step solution

01

Definition of percentage uncertainty

Uncertainty as a percentage is just relative uncertainty multiplied by 100. The percent uncertainty likewise lacks units since it is a ratio of comparable values.

Given Data:

Consider the given data as below.

Blood pressure is measured to be A=120±2mmHg.

The uncertainty of blood pressure is δA=2mmHg.

02

(a) Defining the percentage uncertainty

The percentage uncertainty is defined by,

PercentUncertainty=δ´¡A×100%=2mmHg120mmHg×100%=1.67%:2.00%

Hence, the measured blood pressure has a percent uncertainty of 2.00%.

03

(b) Calculating the percentage uncertainty in blood pressure

The percent uncertainty in measured blood pressure of 80 mm Hg.

The uncertainty in the blood pressure can be calculated as follows:

PercentUncertainty=δ´¡A×100%

Substitute known values in the above equation.

1.67%=δ´¡80mmHg×100%δ´¡=1.67×80100=1.336:1mmHg

Hence, the uncertainty in blood pressure is1 mm Hg.

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