數學題[10分]

2007-12-19 6:50 am
Wendy tells her classmate James that her new watch is very accurate.The percentage error of the time measured is only 0.1%.James tells Wendy in return that the error of his watch is only 0.5 s per day.

(1)Find the percentage error of James' watch in measuring time.(Give the answer correct to 2 significant figures.)

(2)Comparing Wendy's watch with Jame's watch,which one is more accurate?
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回答 (1)

2007-12-19 5:56 pm
✔ 最佳答案
(1)Find the percentage error of James' watch in measuring time.(Give the answer correct to 2 significant figures.)

1 day = 24 hours = 24*60 minutes = 24*60*60 seconds = 86400seconds
percentage error = error / measurement * 100%
= 0.5/86400 * 100%
= 0.00058% ( to 2 s.f.)

(2)Comparing Wendy's watch with Jame's watch,which one is more accurate?

As 0.00058% < 0.1%
so Jame's watch is more accurate than Wendy's watch.

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