Cross section of a stream flowing from a hole

AI Thread Summary
To determine the diameter of the water stream 7.5 m from the hole in a cylindrical tank, the continuity equation must be applied, specifically v1a1 = v2a2. The initial conditions include a water depth of 2.5 m and a hole diameter of 1 mm. As the water exits the hole, its velocity increases due to gravitational acceleration, meaning it does not remain constant. The challenge lies in calculating the velocity at the exit point and subsequently using it to find the cross-sectional area and diameter of the stream at the specified distance. Understanding these principles is crucial for solving the problem effectively.
rbwang1225
Messages
112
Reaction score
0

Homework Statement



Consider a cylindrical tank filled with water with 2.5-m depth. The water emerges from a small hole at the center of the bottom, as shown in the figure. The diameter of the hole is 1 mm. The cross-section area of the vertical water stream decreases as it falls. Find the diameter of the water stream at the position 7.5 m from the hole.
cylinder.jpg


Homework Equations



I think I have to address the continuity equation v_{1}a_2=v_2a_2, but I don't know how to start.

Any help would be appreciated.
 
Physics news on Phys.org
Hint: After the stream leaves the tank, does its velocity remain constant?
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Flooding and Stream area and speed
Replies
11
Views
2K
Finding the scattering cross section
Replies
2
Views
2K
How Does Atmospheric Pressure Affect Water Stream Shrinkage?
Replies
3
Views
1K
Flowrate through an elliptical cross section of an oblique liquid jet
Replies
11
Views
984
Energy from the Sun received at the Earth cross section
Replies
2
Views
2K
Effective cross-section of catching a comet with the Sun
Replies
19
Views
2K
Effective cross-section of catching a comet with the Sun
Replies
1
Views
2K
Solving Water Flow from a Tank: Bernoulli's Theorem
Replies
7
Views
2K
Resistance Variable Cross Section
Replies
3
Views
5K
Water level rise in a tank, continuous flow in, high exit
Replies
11
Views
3K

Hot Threads

Recent Insights

Back
Top