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

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To calculate the uncertainty when converting minutes to hours, one must consider the limit error associated with the time measurement. Given a time elapsed in minutes with an uncertainty of ±0.1 minutes, converting this to hours involves multiplying by 1/60. The largest absolute error observed in the conversion is ±0.4 hours when comparing the converted values to the original minutes. As the values increase, the relative uncertainty decreases, leading to a percentage uncertainty of approximately ±4% for the 10-minute conversion. Understanding these calculations is essential for accurate time measurement conversions.
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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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