Velocity of Water in 5 cm Tube: Solve Equation

  • Thread starter Thread starter coldsteel
  • Start date Start date
  • Tags Tags
    Fluids
AI Thread Summary
To find the velocity of water in a 5 cm radius tube with a flow rate of 10 liters/min, the flow rate must be converted to consistent units. The conversion involves changing liters to milliliters and minutes to seconds, resulting in a flow rate of 166.67 mL/s. The area of the tube is calculated using the formula for the area of a circle, A = πr², yielding an area of approximately 78.54 cm². Using the equation for flow rate (Q = Velocity x Area), the velocity can be determined. Proper unit conversions are essential for accurate calculations in fluid dynamics.
coldsteel
Messages
10
Reaction score
0
1.A tube of radius 5 cm is connected to tube of radius 1 cm. Water is forced through the tube at a rate of 10 liters/min. The pressure in the 5 cm tube is 1×10^5 Pa. The density of water is 1000 kg/m3. Assume that the water is nonviscous and uncompressible.
What is the velocity of the water in the 5 cm radius tube?

2. Flow rate of liquid = Velocity X Area.
3. I believe the units are messing me up. I am not sure about the 10 liters/min. but my equation: 10 liters/min = (1000)x(5^2)(∏)(V) I am not coming up with the correct answers, and don't know if this is even close to the right equation. can somone point me in the right direction?
 
Physics news on Phys.org
The volume and area need to have the same length units.
 
convert the Liters into milliliters (L-mL) and use the conversion 1mL=1cm^3 than change minutes into seconds (1min=60sec)
 

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 »

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 »

Similar threads

Poiseuille equation for water flow rate
Replies
16
Views
2K
Hydrostatics, find length of kerosene column in U tube
Replies
4
Views
2K
Calculating Fluid Velocity in a Constricted Tube
Replies
3
Views
4K
Pressure of water coming out of a hose nozzle
Replies
7
Views
992
Capillary Tube Behavior in a Gravityless Environment
Replies
3
Views
2K
Velocity of fluid in venturi tube
Replies
1
Views
2K
How does water affect resonance in organ pipes?
Replies
10
Views
2K
Bernoulli’s Equation and External Forces
Replies
4
Views
2K
What am i doing wrong (water thru a tube question)
Replies
3
Views
4K
Δt between consecutive frequency configurations
Replies
20
Views
2K

Hot Threads

Recent Insights

Back
Top