# Final volume of a falling droplet

• eng442
In summary, the conversation discusses whether falling droplets have a final volume and if it is possible to determine this volume for a specific liquid and height. The topic of semen droplets falling from a 1km height is also brought up. The conversation concludes with a hypothetical scenario involving very large drops of water.
eng442
First of all, do falling droplets have a final volume like falling bodies have a final velocity - in air?

If so, is there a way to determine such volume for a specific liquid and a specific height? More specifically, the final volume of a semen droplet falling from a 1km height.

welcome to pf!

hi eng442! welcome to pf!

water is, for all practical purposes, incompressible

so (although the shape may change) the volume will be constant

eng442 said:
<snip>More specifically, the final volume of a semen droplet falling from a 1km height.

Eh?

There will be some evaporation, but that depends on the details- temperature(s), relative humidity, etc..

Odd question...

eng442 said:
First of all, do falling droplets have a final volume like falling bodies have a final velocity - in air?

If so, is there a way to determine such volume for a specific liquid and a specific height? More specifically, the final volume of a semen droplet falling from a 1km height.

I have never seen rain drops the size of breasts, even small breasts, though possibly the size of a nipple. So yes, if you could form a very large drop of water, say the size of your typical breast then after falling for a kilometer the large drop would break apart towards some maximum size. If on the other hand you had a cubic kilometer of water and could drop it a distance of one kilometer, all at once, I think you might have some very large drops?

I can confirm that falling droplets do have a final volume, just like falling bodies have a final velocity. This is due to the forces of gravity and air resistance acting on the droplet as it falls. However, the final volume of a falling droplet is not a fixed value and can vary depending on various factors such as the size and shape of the droplet, the viscosity of the liquid, and the height from which it is falling.

To determine the final volume of a specific droplet falling from a specific height, we would need to consider the properties of the liquid, such as its density and surface tension, as well as the air resistance it experiences during its fall. This can be calculated using mathematical equations and simulations, but it may also require experimental data to accurately determine the final volume.

In the case of a semen droplet falling from a 1km height, the final volume would depend on the specific properties of the semen, such as its density and viscosity, as well as the air resistance it experiences during its fall. Without knowing these specific values, it is difficult to accurately determine the final volume. However, it is possible to estimate the final volume using theoretical calculations and simulations, but this would require more information about the droplet and its surroundings.

## 1. What factors determine the final volume of a falling droplet?

The final volume of a falling droplet is determined by several factors, including the initial volume of the droplet, the height from which it falls, the surface tension of the liquid, and the presence of any external forces such as wind or air resistance.

## 2. How does the viscosity of the liquid affect the final volume of a falling droplet?

The viscosity of a liquid, which is a measure of its resistance to flow, plays a significant role in determining the final volume of a falling droplet. A more viscous liquid will have a slower rate of flow and will therefore maintain a larger volume as it falls compared to a less viscous liquid.

## 3. Does the shape of the droplet affect its final volume?

Yes, the shape of a droplet can greatly impact its final volume. For example, a droplet with a more spherical shape will have a smaller surface area, which means it will experience less air resistance as it falls and therefore maintain a larger volume compared to a droplet with a more elongated shape.

## 4. What role does gravity play in determining the final volume of a falling droplet?

Gravity is the main force acting on a falling droplet and is responsible for pulling the droplet downwards. As the droplet falls, it will accelerate due to the force of gravity, which will also cause it to spread out and decrease in volume. The strength of gravity will depend on the mass and density of the droplet, as well as the gravitational pull of the planet it is falling on.

## 5. Can the final volume of a falling droplet be accurately predicted?

Predicting the final volume of a falling droplet can be challenging due to the many variables involved, such as the initial conditions, external forces, and the properties of the liquid. However, with precise measurements and complex mathematical models, it is possible to make accurate predictions of the final volume of a falling droplet.

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