Calculating Velocity of Water in a Circular Pipe

In summary, the question is asking for the velocity of water downstream when the diameter of a circular pipe decreases to four-ninths of its original value. The equation used to solve this problem is A1V1 = A2V2, where A is the area and V is the velocity. By rewriting the area in terms of its diameter, the final equation becomes A1 = (4/9)(V2).
  • #1
kitty9035
17
0

Homework Statement


Water is flowing at 1 m/s in a circular pipe. If the diameter of the pipe decreases to four-ninth its former value, what is the velocity fo the water downstream?


Homework Equations



AV=AV

3. The Attempt at a Solution [/b
(Area1)(Velocity1)=(Area2)(Velocity2)
then...
(A1)(1 m/s)=(4/9)A1(V2) ?
or
A1=(4/9)(V2)

Is that right what would u do next??
 
Physics news on Phys.org
  • #2
Rewrite the area in terms of its diameter, and then try again.
 
  • #3
Indeed, remember the area for a circle? *circular* being the key word =).
 
  • #4
couldn't you just with what your given calculate the volumetric flow rate then, then apply Q = AV to get the velocity in the second pipe.. that's how I would do it
 
  • #5
A1V1 = A2V2, since the density is uniform/incompressible.

You could do as you say, but then you'd have the equation:
A1 * (delta L1) / delta t = A2 * (delta L2) / delta t

A1V1 = A2V2 is a better one to use; well more "simple" one.
 

FAQ: Calculating Velocity of Water in a Circular Pipe

How is velocity of water calculated in a circular pipe?

The velocity of water in a circular pipe can be calculated using the formula v = Q/A, where v is velocity, Q is flow rate, and A is the cross-sectional area of the pipe.

What are the units of velocity in this calculation?

The units of velocity in this calculation are typically meters per second (m/s), but can also be expressed in feet per second (ft/s) or other similar units.

How does the diameter of the pipe affect the velocity of water?

The diameter of the pipe has a direct effect on the velocity of water. As the diameter increases, the velocity decreases, and vice versa. This is because a larger diameter pipe has a larger cross-sectional area, allowing for a greater volume of water to flow at a slower rate.

What other factors can impact the velocity of water in a circular pipe?

Other factors that can impact the velocity of water in a circular pipe include the viscosity of the water, the roughness of the pipe's interior surface, and any obstructions or bends in the pipe that may cause changes in flow rate.

Is it necessary to calculate the velocity of water in a circular pipe for certain applications?

Yes, calculating the velocity of water in a circular pipe is important for a variety of applications, such as determining pump and pipe sizes, designing irrigation systems, and ensuring proper flow and pressure in plumbing systems.

Back
Top