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Significant figures in seconds to hours calculation

  • Thread starter RossH
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  • #1
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SOLVED: Significant figures in seconds to hours calculation

Homework Statement


Not exactly a problem, but if I have minutes/seconds and am changing to hours, how many significant figures are there? For example: 29 minutes 57 seconds =0.499166667 hours needs ? significant figures.

The Attempt at a Solution


Well, a second to 1/3600 hours. Therefore, I think I might want to measure to a precision of one ten-thousandth of an hour, or possibly 1/1000 hours. I'm not sure which. I know that the minutes doesn't affect the calculation, and I know that the unit conversion is considered to have infinite sig figs.
 
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Answers and Replies

  • #2
gneill
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The implication is that the original value is accurate to +/- 1 second. If the converted value is to have a similar level of precision, and 1s = 0.00028 hr, then it looks like you'll want four decimal places and the last place will be taken as +/- 3.
 
  • #3
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The implication is that the original value is accurate to +/- 1 second. If the converted value is to have a similar level of precision, and 1s = 0.00028 hr, then it looks like you'll want four decimal places and the last place will be taken as +/- 3.
Thanks!
 
  • #4
Redbelly98
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I agree the value is accurate to the nearest 1 second, but would approach it differently. If you convert the 29 minutes 57 seconds to seconds, that's 60·29+57 seconds or 1767 seconds. That's 4 significant figures -- which for this problem (0.4991... hours) means to the 4th decimal place in agreement with what gneill said.
 

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