Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
The definition of absolute and percentage error allows to find the result for the total error in the pressure measurement is:
P = ( 1000 ± 2 ) kPa
ΔP = ±2 kPa
The magnitudes is a quantity that in addition to its value has an error due to the instruments or measurement method used, therefore the correct way to express a value is:
Magnitude = value ± absolute error
Statistical errors can be expressed in several ways:
- Absolute (Δx). It corresponds to the uncertainty or appreciation of the instruments or the propagation of uncertainty in the equations.
- Relative (e_r). Indicates the fraction of the error, it is the relationship between the absolute error and the magnitude.
- Percentage (e%). It is the relative error expressed as a percentage or relative error by 100%
In all measurements, the worst case is always taken, that is, all errors go in the same direction.
They indicate the percentage errors due to non-linearity 0.15% and the error due to hysteresis 0.05%. the measurement value is P = 1000 kPa.
Let's look for the absolute errors.
[tex]e_r = \frac{\Delta P}{P} = e%/100[/tex]
[tex]\Delta P = P \ \frac{percentage \ error }{100}[/tex]
We apply this expression to each type of error.
Non-linearity.
[tex]\Delta P_1 = 1000 \ \frac{0.15}{100}[/tex]
ΔP₁ = 1.5 kPa
Hysteresis.
[tex]\Delta P_2 = 1000 \ \frac{0.05}{100}[/tex]
ΔP₂ = 0.5 kPa
The total absolute error in the worst case is the sum of the two errors,
[tex]\Delta P_{total} = \Delta P_1 + \Delta P_2[/tex]
[tex]\Delta P_{total}= 1.5 +0.5 \\\Delta P_{total} = 2 kPa[/tex]
The measurement should be given in the following way:
P = 1000 ± 2 kPa
In conclusion using the definition of absolute and percentage error we can find the result for the total error in the pressure measurement is:
P = ( 1000 ± 2 ) kPa
ΔP = ±2 kPa
Learn more here: brainly.com/question/15114851
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.
