Question

In: Physics

A closed and elevated vertical cylindrical tank with diameter 2.10 m contains water to a depth...

A closed and elevated vertical cylindrical tank with diameter 2.10 m contains water to a depth of 0.500 m . A worker accidently pokes a circular hole with diameter 0.0170 m in the bottom of the tank. As the water drains from the tank, compressed air above the water in the tank maintains a gauge pressure of 5.00×103 Pa at the surface of the water. Ignore any effects of viscosity.

A)Just after the hole is made, what is the speed of the water as it emerges from the hole? (v=____)

B)What is the ratio of this speed to the efflux speed if the top of the tank is open to the air? (v/vopen=________)

C)How much time does it take for all the water to drain from the tank? (t=_______)

D)What is the ratio of this time to the time it takes for the tank to drain if the top of the tank is open to the air? (t/topen=_______)

Solutions

Expert Solution


Related Solutions

A closed and elevated vertical cylindrical tank with diameter 2.00m contains water to a depth of...
A closed and elevated vertical cylindrical tank with diameter 2.00m contains water to a depth of 0.900m . A worker accidently pokes a circular hole with diameter 0.0190m in the bottom of the tank. As the water drains from the tank, compressed air above the water in the tank maintains a gauge pressure of5.00�103Pa at the surface of the water. Ignore any effects of viscosity. A. Just after the hole is made, what is the speed of the water as...
A cylindrical tank with inner diameter 2.0 m is designed to operate as a fluidized bed...
A cylindrical tank with inner diameter 2.0 m is designed to operate as a fluidized bed reactor for a heterogeneous catalytic reaction. The tank is loaded with a random packing of cubic particles to a height of 4.0 m with voidage 0.4 before the fluidization process. The density and length of each side of the cubic particles are 2600 kg m-3 and 1.0 cm respectively. During operation, a liquid reactant with density 1000 kg m-3 and viscosity 1.0 x 10-3...
Water stands at a depth H in a large open tank whose side walls are vertical.
Water stands at a depth H in a large open tank whose side walls are vertical. A hole is made in one of the walls at a depth d below the water surface.At what distance R from the foot of the wall of the tank does the emergent stream strike the floor?How far above the bottom of the tank could the second hole be cut so that the stream emerging from it could have the same range as for the...
An 800-gallon, 1.2 m wide cylindrical water tank is filled to the brim. The tank has...
An 800-gallon, 1.2 m wide cylindrical water tank is filled to the brim. The tank has a hole formed at 13.3 cm above the ground. It is observed that water leaks out of the reservoir at a speed that reduces by 3.2 m.s-1 in 1 minute 39 seconds. If the tank was initially filled to the brim how much water leaked out of the tank, and 8.2 by how much shall the point, at which water lands, change? (1 gallon...
A closed, rigid tank contains water initially at 250 °F with a quality of 0.4. The...
A closed, rigid tank contains water initially at 250 °F with a quality of 0.4. The tank is heated until the water reaches 290 °F. Find the initial and final pressure, in lbf/in2 . Sketch the process on P-υ and T-υ diagrams (be sure to include the vapor dome, constant temperature and pressure lines, number your states, and indicate the process direction with an arrow). Thermodynamic
A cylindrical metal can, 0.1 m high and 0.05 m in diameter, contains liquid helium at...
A cylindrical metal can, 0.1 m high and 0.05 m in diameter, contains liquid helium at its normal boiling point of -452.074 degrees Fahrenheit. At this temperature Helium's heat of vaporization is 20.4 kJ/kg. The walls of the helium container are 1.2 cm thick and have a thermal conductivity of 13.889 W/(m K). The helium container is surrounded by liquid nitrogen at a temperature of -327.64 degrees Fahrenheit. A. What is the conductive surface area of the metal cylinder? B....
A cylindrical metal can, 0.1 m high and 0.05 m in diameter, contains liquid helium at...
A cylindrical metal can, 0.1 m high and 0.05 m in diameter, contains liquid helium at its normal boiling point of -452.074 degrees Fahrenheit. At this temperature Helium's heat of vaporization is 20.4 kJ/kg. The walls of the helium container are 1.2 cm thick and have a thermal conductivity of 13.889 W/(m K). The helium container is surrounded by liquid nitrogen at a temperature of -327.64 degrees Fahrenheit. A. What is the conductive surface area of the metal cylinder? B....
A cylindrical metal can, 0.1 m high and 0.05 m in diameter, contains liquid helium at...
A cylindrical metal can, 0.1 m high and 0.05 m in diameter, contains liquid helium at its normal boiling point of -452.074 degrees Fahrenheit. At this temperature Helium's heat of vaporization is 20.4 kJ/kg. The walls of the helium container are 1.2 cm thick and have a thermal conductivity of 13.889 W/(m K). The helium container is surrounded by liquid nitrogen at a temperature of -327.64 degrees Fahrenheit. A. What is the conductive surface area of the metal cylinder? B....
5. A large tank of water is full and has a depth of 10.0 m. What is the pressure at the bottom of the tank?
  5. A large tank of water is full and has a depth of 10.0 m. What is the pressure at the bottom of the tank? What would the velocity of the water be if the tank was opened at the bottom? 6. A Two balloons of identical volume (radius 11.5 m) are filled with gas. The first with helium, the second with hydrogen (H2) gas. Each balloon and cage have a mass of 750 kg. What is the lift...
A conical tank of diameter 6 m and height 10 m is filled with water. Compute...
A conical tank of diameter 6 m and height 10 m is filled with water. Compute for the work needed to pump all the water 2 m above the tank. The water has a density of 1000 kg per cubic meter.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT