A cylindrical tank is being filled with water. The tank is initially empty but then water begins to flow into it at a rate of 56.00 kg/min. There is a small hole of radius r= 0.9000 cm at the bottom of the tank where water can escape. Because the flow rate of water leaving the hole is initially at a slower rate than water entering the tank, the water level rises. The average velocity of water leaving through the hole at the bottom of the tank is not constant and is a function of the height of the water level in the tank: 9in v= 2gh dout where g is the gravitational constant of Earth, 9.81 m/s?. Additionally, the density of water at this temperature is 1.000 x 103 ka/m3
A cylindrical tank is being filled with water. The tank is initially empty but then water begins to flow into it at a rate of 56.00 kg/min. There is a small hole of radius r= 0.9000 cm at the bottom of the tank where water can escape. Because the flow rate of water leaving the hole is initially at a slower rate than water entering the tank, the water level rises. The average velocity of water leaving through the hole at the bottom of the tank is not constant and is a function of the height of the water level in the tank: 9in v= 2gh dout where g is the gravitational constant of Earth, 9.81 m/s?. Additionally, the density of water at this temperature is 1.000 x 103 ka/m3
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A cylindrical tank is being filled with water. The tank
is initially empty but then water begins to flow into it
at a rate of 56.00 kg/min. There is a small hole of
radius r= 0.9000 cm at the bottom of the tank
where water can escape. Because the flow rate of
water leaving the hole is initially at a slower rate
than water entering the tank, the water level rises.
The average velocity of water leaving through the
hole at the bottom of the tank is not constant and is
a function of the height of the water level in the tank:
din
v= 2gh
where g is the gravitational constant of Earth, 9.81 m/s?.
Additionally, the density of water at this temperature is
1.000 x 103 kg/m3.
dout
R-
What is the maximum height of the water level in the tank, if it is initially empty?
Number
h= O
m
If the radius of the tank is R= 0.8000 m, how long will it take the tank to reach 90.0% of this water level?
Number
t=
hr
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