Rain Drops falling down in a uniform cloud

AI Thread Summary
The discussion focuses on analyzing a rain drop falling through a uniform cloud of smaller drops, emphasizing the relationship between the drop's velocity and the densities of the drops and the cloud. It highlights the need to establish a differential equation to describe the motion of the larger drop, noting that the equation is non-linear. The absence of air resistance is mentioned, but the possibility of incorporating linear resistance from air is suggested as a potential approach to finding a solution. The participants are seeking logical assumptions to simplify the problem. Overall, the discussion revolves around the dynamics of falling rain drops in a cloud environment.
Erfan
Messages
7
Reaction score
0

Homework Statement


Consider a uniforms cloud of density ρ1 which consists of many little drops that are approximately still.Consider a special rain drop that is a little more bigger than the others so that it starts to fall down.Water drops stays spherical all the way.But the radius gets higher as it falls down.Also water's density is ρ0.
(a) Find a relation between \dot{r}, velocity of the drop, and the two densities.
(b) Find rain drop's acceleration.

Homework Equations





The Attempt at a Solution


The differential equation is non-linear.
 
Physics news on Phys.org
Any thoughts on how to go about this? Any logical assumptions?
 
We have no air resistance force.But it might be possible to find a solution when the air exerts linear resistance force.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »

Similar threads

Expanding explosion from an Asteroid
Replies
13
Views
2K
Falling Rain Drop (Variable Mass)
Replies
16
Views
3K
A Weyl tensor and coordinate acceleration
Replies
12
Views
2K
A fluid mechanics problem -- Shape of a falling water drop
Replies
8
Views
3K
Hole though the Earth and SHM: why is uniform density assumed?
Replies
7
Views
2K
Problem on a liquid drop free fall
Replies
6
Views
2K
Weight of gold chain when dropped on a weighing scale
Replies
12
Views
3K
What is the charge density and electric field inside a polarized hydrogen atom?
Replies
1
Views
1K
Calculating Rotation Period of a Collapsing Interstellar Cloud
Replies
2
Views
6K
Calculating the Radius of Earth's Iron Core: A Simple Model Approach
Replies
1
Views
4K

Hot Threads

Recent Insights

Back
Top