What is the Time to Drain a Tank with a Small Hole at the Base?

In summary, fluid density is the measure of mass per unit volume of a fluid and is typically expressed in kilograms per cubic meter (kg/m3). It can be calculated by dividing the mass of the fluid by its volume and is affected by factors such as temperature, pressure, and type of substance. The density of a fluid also plays a crucial role in determining buoyancy according to Archimedes' principle. It is used in practical applications such as determining specific gravity, designing hydraulic systems, and calculating submerged object weight.
  • #1
powerbuddy
5
0
A large tank with Diameter D, open to the air , contains water upto heigh h . A small hole with diameter d( d<<D) is made at the base of the tank. Ignoring the effects of visocity , calculate the time it takes for the entire water to drain completely.
 
Physics news on Phys.org
  • #2
ok. so what's the problem? what have you done already?
where are you stuck?
 
  • #3
that would be a streamline problem solved using the Torracelli eqn, n'est pas?
 

1. What is fluid density?

Fluid density refers to the measure of how much mass is contained in a specific volume of a fluid. It is usually expressed in units of kilograms per cubic meter (kg/m3) in the SI system.

2. How is fluid density calculated?

Fluid density can be calculated by dividing the mass of the fluid by its volume. The mass can be measured using a scale, while the volume can be determined by measuring the dimensions of the container or by using specialized tools such as a hydrometer or densitometer.

3. What factors affect fluid density?

The density of a fluid can be affected by various factors such as temperature, pressure, and the type of substance. For example, as temperature increases, the density of most fluids decreases. Additionally, gases have a lower density compared to liquids, and liquids have a lower density compared to solids.

4. How does fluid density impact buoyancy?

The density of a fluid plays a crucial role in determining the buoyancy of an object placed in it. According to Archimedes' principle, an object will experience an upward force equal to the weight of the fluid it displaces. If the object's density is lower than the fluid's density, it will float, and if the object's density is higher, it will sink.

5. How is fluid density used in practical applications?

Fluid density is used in various practical applications, such as determining the specific gravity of liquids, designing and operating hydraulic systems, and calculating the weight of objects submerged in fluids. It is also essential in fields such as meteorology, oceanography, and engineering.

Similar threads

  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
8K
  • Introductory Physics Homework Help
Replies
11
Views
1K
  • Introductory Physics Homework Help
Replies
9
Views
6K
  • Introductory Physics Homework Help
Replies
6
Views
3K
  • Introductory Physics Homework Help
Replies
4
Views
2K
Replies
17
Views
2K
  • Engineering and Comp Sci Homework Help
2
Replies
49
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
8
Views
2K
Back
Top