\'\'5.19. A saline-glycerin blood substitute flows through a compliant tube so a

Question

''5.19. A saline-glycerin blood substitute flows through a compliant tube so as to simulate arterial blood motion. To measure its flow rate, the flow is temporarily deflected and caught in a bucket over a time interval of 10.0±0.20s. The empty bucket itself has a mass of 201.1±2.0g. The full bucket has a mass of 403.6±2.0g. The mass flow rate is determined as the mass (through its measured weight) caught over the time interval. Estimate the mass flow rate and its uncertainty.''

In the previous problem of arterial flow (5.19), suppose that the mass uncertainties contain systematic errors (e.g. a zero offset) that account for 1.5g of each 2.0g of the mentioned uncertainty, and that these systematic errors are fully correlated. Estimate the mass flow rate and its uncertainty (Resource: theory and design for mechanical measurements 6th edition, Richard S. Figliola, Donald Beasley )

*Included the previous question

Explanation / Answer

mass flow rate=difference in mass of bucket/time

difference in mass=202.5 g

time=10 s

mass flow rate=202.5/10=20.25 g/s

uncertainity in difference in mass=2+2=4 g

uncertainity in time=0.2s

uncertainity in mass flow rate be dm

dm/20.25=sqrt((4/202.5)^2 +(0.2/10)^2

we get dm=0.6

so mass flow rate=20.25+/- 0.6

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.