1. The maximum pulling strength of a fishing-line measured by a laboratory is 60kg and the percentage error is 5%. What is the possible range of the maximum pulling strength of the fishing-line ?
2. The time required for a software to scan all the files of the computer is 19 minutes 15 seconds, correct to the nearest 5 seconds. Find the percentage error correct to 2 sig.fig.
[10分] Maths Questions (APPROXIMATION AND ERROR) 列明步驟..THX =]
2007-08-22 12:53 am
回答 (1)
2007-08-22 2:51 am
✔ 最佳答案
( 1 ) ( Maximum error / Measured value ) x 100% = % error{ Maximum error / 60 } x 100% = 5%
Maximum error = 3kg
Then the upper limit: 60kg + 3kg = 63kg
The lower limit: 60kg - 3kg = 57kg
Hence the possible range of the maximum pulling strength of the fishing-line is between 57kg and 63kg.
( 2 ) 19 min 15 s = 1155s
Maximum error of the measurement: 5s / 2 = 2.5s
% error = ( 2.5 / 1155 )( 100% )
= 0.22% ( cor. to 2 s.f. )
參考: My Maths Knowledge
收錄日期: 2021-04-25 19:51:53
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