F.3 Maths--open-ended--10pts!!

2010-07-29 1:24 am
1. There is around 7000 litres of blood flowing through a human heart every day. Estimate, in litre, how much blood has flown through your heart since you were born. (Express your ans in scientific notation.)

2. A hard disk of model A rotates 5400 times per minute. The manufacturer provides a 3-year warranty, and guarantees that model A hard disk can continuously run for 3 years ( 365 days a year and 24 hours a day) without failure.

(a) How many times does the hard disk continuously rotate in 3 years? (express your answer in scientific notation)

(b) Assume that a hard disk of model A would be out of order after running for the number of times found in (a). If a hard disk of model A runs 260 days a year and 10 hours a day, do you think it can run for 8 years? Explain your answer.
更新1:

re. hk56740 Sorry! Your answer is wrong. You must multiply 5400, not divided by 5400. (3x365x24x60x5400)<- correct Therefore, the ans is (8.51x10^9)

回答 (1)

2010-07-29 1:43 am
✔ 最佳答案
1. Not enough information(e.g. the current age)
2a. The number it has rotated
=3x365x24x60/5400
=2.92x10^2 times
2b. The number of rotations after 8 years
=8x260x10x60/5400
=231.11111111...
<292
Therefore,it can run for 8 years.

2010-08-02 20:24:36 補充:
2a. The number it has rotated
=3x365x24x60x5400
=8.51x10^9 times(cor. to 3 sig. fig.)
2b. The number of rotations after 8 years
=8x260x10x60x5400
=6.74x10^9 times
<8.51x10^9 times
Therefore,it can run for 8 years.
參考: me


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