A sealed storage tank contains water to a height of 25m. The air above the water inside the tank has a gauge pressure of 4.5 atm. How fast will water flow out of a hole that is located at the bottom the tank?
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Class 11
>>Physics
>>Mechanical Properties of Fluids
>>Applications and Limitations of Bernoulli's Law
>>A sealed tank contains water to a height
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A sealed tank contains water to a height of 11 m and air at 3 atm. Water flower out from the bottom of a tank through a small hole. The velocity of efflux is (g=10ms
−2
)
Medium
Solution
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Correct option is D)
According to Bernaulis theoram
0.01×10
5
×3+ρgh=
2
1
ρv
2
3.03×10
5
+1000×10×11=
2
1
×1000v
2
v=
1000
4.13×10
5
×2
v=28.6m/s
Given,
height=25m
gauge pressure=4.5atm
To Find,
V=?
Solution,
According to Bernaulis's theorem
0.01×10^5×3+ρgh=1/2ρv²
3.03×10^5+1000×10×11=1/2×1000v²
v=
v=28.6m/s
Thus the water flow out of a hole that is located at the bottom of the tank v= 28.6m/s
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