math about volume
2013-09-22 1:18 am
A box is with 100ml water, if the rate of outflow is 10ml/s but in the meanwhile the water is adding with the rate 5ml/s. How long it take to empty? Provide steps,thanks
回答 (3)
2013-09-22 1:52 am
✔ 最佳答案
dV/dt = -10 + (+5) = -5 ml/sdV = -5 dt
integrate from 100 to 0 ʃdV = integrate from 0 to t ʃdt
V| 0,100 = -5| t,0
-100 = -5t
t = 20
Sorry that steps above are not so mathematics, I don't know how to type them.
Correct them by yourself.
2013-09-22 1:49 am
Very detail steps,Masterijk!!!
2013-09-22 1:44 am
Outflow rate = 10 ml/s
Inflow rate = 5 ml/s
Net outflow rate = 10 - 5 = 5 ml/s
There is 100 ml water in the box.
Therefore, the time to empty the box is
100/5 = 20 s
2013-09-21 18:03:22 補充：
Kandy, please supply additional information to this question:
http://hk.knowledge.yahoo.com/question/question?qid=7013091800230
2013-09-21 23:58:25 補充：
Haha, Kandy~
My step is not clear to Jon~
^_^
Inflow rate = 5 ml/s
Net outflow rate = 10 - 5 = 5 ml/s
There is 100 ml water in the box.
Therefore, the time to empty the box is
100/5 = 20 s
2013-09-21 18:03:22 補充：
Kandy, please supply additional information to this question:
http://hk.knowledge.yahoo.com/question/question?qid=7013091800230
2013-09-21 23:58:25 補充：
Haha, Kandy~
My step is not clear to Jon~
^_^
收錄日期: 2021-04-13 19:44:34
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20130921000051KK00183