Error Analysis: Check doop=1.021+-1.3e-3

In summary, the conversation discusses a formula for doop and its parameters, a, b, s0, and d, which all have units of cm. The denominator of the formula may be confusing due to the exponent of b, but it is clarified that the correct form is a3 - b2*d*s0/L. The value of L is also given as 208.3+-1 cm. The final result for doop is 1.021+-1.3e-3.
  • #1
zak8000
74
0

Homework Statement


doop=[tex]a^{3}[/tex]/([tex]a^{3}[/tex]-([tex]b^{2}[/tex]*d*s0/L)

a=4.65+-0.03
b=4.60+-0.03
s0=3.987+-6.906e-3
d=5.05+-3.03

could someone please check that if they get the same answer as me:
doop=1.021+-1.3e-3

Homework Equations


The Attempt at a Solution


Homework Statement


Homework Equations


The Attempt at a Solution


Homework Statement


Homework Equations


The Attempt at a Solution

 
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  • #2
You haven't specified L.
 
  • #3
ops L=208.3+-1cm
 
  • #4
Do the other values have units associated with them?
 
  • #5
yep all cm's
 
  • #6
I see. Then perhaps your rendering of the formula is confusing me, since it looks like the parameter b has an exponent that would have units in it.

Is the denominator a3 - b2*d*S0/L or is it a3 - b2*d*S0/L ?
 

What is error analysis?

Error analysis is a process in which the margin of error for a measurement or calculation is determined. It involves evaluating the possible sources of error and determining the overall accuracy and precision of the result.

What does "doop=1.021+-1.3e-3" mean?

This notation represents a value with an estimated error. The "doop" refers to the measured value of 1.021, and the "-1.3e-3" indicates the margin of error, or uncertainty, associated with that measurement. The "e-3" represents scientific notation, where "e" stands for "exponent" and the "-3" indicates that the decimal point should be moved three places to the left.

How is the margin of error determined in error analysis?

The margin of error is typically determined by considering the precision and accuracy of the measuring instrument or calculation method, as well as any potential sources of error such as human error or external factors. It is often expressed as a range of values rather than a single number.

Why is error analysis important?

Error analysis is important because it allows scientists to evaluate the reliability and accuracy of their data, and to identify potential sources of error that may affect the validity of their results. It also helps to improve experimental techniques and reduce uncertainty in measurements.

How can errors be minimized in scientific experiments?

There are several ways to minimize errors in scientific experiments, including using precise and calibrated instruments, repeating measurements, and controlling for external factors. It is also important to carefully analyze and document any potential sources of error and to use appropriate statistical methods for data analysis.

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