How do I calculate the uncertainity when converting minutes to hours?

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Homework Help Overview

The discussion revolves around calculating uncertainty when converting time from minutes to hours. The original poster presents a table with values in minutes and their corresponding conversions to hours, along with a given uncertainty in minutes.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between the provided minute values and their hour conversions, questioning how to express uncertainty in this context. There is a discussion about multiplying the hour values by 60 and examining the differences from the original minute values.

Discussion Status

Some participants are attempting to determine the appropriate way to express uncertainty, with suggestions about calculating absolute and percentage errors. There is an ongoing exploration of how these uncertainties change with the values in the table, but no consensus has been reached.

Contextual Notes

The original poster has provided specific values and uncertainties, but the discussion includes questions about the implications of these values and how they relate to the conversion process.

cbrowne
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Homework Statement



I have no idea how to calculate this:

Calculate the uncertainity (limit error) when you convert minutes to hours:


Minutes____Hours__
10.0 0.16
20.0 0.33
30.0 0.5



Homework Equations




They've given me like

Time Elapsed in minutes: tm ± 0.1 (min)

Distance Traveled: d ± 0.1 (km)
 
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What happens when you multiply 60 by the numbers in your table?

What differences do they exhibit relative to the original numbers?
 
so should i say the uncertainity is tm ± 0.4 (h) ?
 
Is that what it works out to?

If so ...
 
well if u multiply 0.16 x 60= 9.6 but the actual value is 10.0 so its off by 0.4 . As you go up the table the uncertainty becomes smaller and smaller
 
cbrowne said:
well if u multiply 0.16 x 60= 9.6 but the actual value is 10.0 so its off by 0.4 . As you go up the table the uncertainty becomes smaller and smaller

Then ±.4 is the largest absolute error so that would be the greatest uncertainty I'd say.

Expressed as a percentage that would be more like (.4/10) or ± 4%.
 

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