This is an issue I am running into at the beginning of my physics course.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Given distance and time in minutes, calculate the time in hours (part of a larger average velocity question) and graph over 170minutes. Include error bars in the graph

2. Relevant equations

So if t_{m}= 10.0 +/- 0.1min and I use min -> hr conversion as 1hr/60min = 0.0167

t_{h}= 10.0min * 0.0167 hrs/min = 0.167 min

3. The attempt at a solution

The error in min is +/- 0.1 min. Now if I am using 0.0167hrs/min as an exact constant factor I should use z=k*x and [itex]\Delta[/itex]z= k [itex]\Delta[/itex]x

So I will use hours = 0.0167 * minutes and my [itex]\Delta[/itex]hours = 0.0167 * 0.1min making the [itex]\Delta[/itex]hours = 0.00167hours.

By sig fig this value is 0.002 hours correct?

At 10 minutes t_{h}= 0.167 +/- 0.002hrs

at 120 minutes t_{h}= 2.00 hrs +/- 0.002 hrs

I think I am right but I want to make sure my answer is correct and that this error holds true for all values of minutes from 0-170min.

Thanks for any help, most appreciated.

JakeRue

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# Error propagation in calculations

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