Solving Siphoning Problem: Pressure, Diameter & Height

  • Thread starter Thread starter mantaslawl
  • Start date Start date
Click For Summary
To solve the siphoning problem, the key is to understand the relationship between pressure difference, tube diameter, and flow rate. The pressure difference can be calculated using the formula pressure = rho * g * h, where rho is the water density, g is gravitational acceleration, and h is the height difference of 64 cm. To determine the flow rate, additional equations related to fluid dynamics and the specific characteristics of the tube, such as diameter (1.2 cm), must be applied. It's important to review relevant fluid mechanics principles to derive the flow rate from the pressure difference and tube dimensions. Understanding these concepts will facilitate the calculation of the siphon’s flow rate effectively.
mantaslawl
Messages
1
Reaction score
0

Homework Statement



Consider a siphon which transfers water from one vessel to a second (lower) one. Determine the rate of flow if the tube has a diameter of 1.2 cm and the difference in water levels of the two containers is 64 cm.

Homework Equations



Not sure what equations to use.

The Attempt at a Solution


I missed class the other day and so far only understand pressure=rho*g*h really. I need some help as to what to do and what equations to use for this.
 
Physics news on Phys.org
From what you have here, you can calculate only the pressure difference from one end of the hose to the other. You need to go back into your book and see how to get water flow rate given pressure and tube diameter.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

Replies
8
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
6
Views
3K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 4 ·
Replies
4
Views
4K
Replies
4
Views
2K
Replies
8
Views
3K
Replies
8
Views
2K
Replies
6
Views
8K
  • · Replies 5 ·
Replies
5
Views
3K