in a large cylinder water tank ,water is coming out from a small hole st bottom it takes 7 minutes to empty half.the approx further time in which tank empties completely
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Sanjana587:
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The water will take 17 minutes to completely evacuate the tank.
Explanation:
We are given the dimensions as:
- 6 cm/s = 6 x 10^-2 m/s
- 6 mm = 6 x 10^-3 m
Solution:
Time taken to empty half.
t = A/ Ao √ 2 / g [ √ H - √ H' ]
t1 = 7 = A / Ao √ 2 / g [ √ H - √ H' / 2 ] ------(1)
t2 = t2 = A / Ao √ 2 / g [ √ H / 2 - 0 ] -----(2)
Now dividing equation 1 by 2.
7 / t2 = [√ H - √ H' / 2 ] / √ H / 2
7 / t2 = √2 H - √ H / √H = √2 - 1
7 / t2 = 0.41
t2 = 7 / 0.41
t2 = 17 minutes.
Thus the water will take 17 minutes to completely evacuate th tank.e
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