Calculating Fluid Eflux: The Impact of a Cylindrical Tank on a Platform

In summary, a cylindrical tank of diameter 90 cm, resting on a 6m high platform, is initially filled with water to a depth of 3m. A plug with an area of 3 cm^2 is removed from the bottom side of the tank. To find the speed at which the water will strike the ground, the equation H=0.5gt^2 is used to calculate the time (t) it takes for the tank to empty, using the formula t=(12/9.8)^0.5. However, for part 2, the velocity of eflux is not constant and can be determined by the formula D(vol)/Dt = A*(2gh)^0.5, where dh/d
  • #1
alamin
8
0
A cylindrical tank of diameter 90 cm rests on top of a platform 6m
high. Initially the tank is filled with water to a depth of 3m. A plug
whose are is 3 cm^2 is removed from the orifice on the side of the
tank at the bottom.

1) at what speed will water strike the ground?
11) how long will it take for the tank to be empty?
 
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  • #2
What are your thoughts on this? Anything you got so far?
 
  • #3
Yeah, for part one:
H=0.5gt^2
t^2 = 12/9.8
t= (12/9.8)^.5

v=u +at
v= 0 + (12*9.8)^0.5
this we could acheive

But for part 2:
Velocity of eflux changes with time. thus
D(vol)/Dt = A*(2gh)^.5 = ((Pi*d^2)/4)*dh/dt
Is this correct?
 

1. What is fluid mechanics?

Fluid mechanics is the scientific study of fluids (liquids and gases) and the forces acting on them. It involves the study of how fluids behave under different conditions and how they interact with their surroundings.

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The main principles of fluid mechanics include continuity, conservation of mass, conservation of energy, and conservation of momentum. These principles govern the behavior of fluids and are used to analyze and solve problems related to fluids.

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Fluid mechanics is closely related to other branches of science such as thermodynamics, mechanics, and electromagnetism. These fields often overlap and are used together to study complex systems involving fluids.

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