Calculate Flow Rate: Find Water Velocity & Qty Collected

Click For Summary
SUMMARY

The flow rate of water collected from a bottle setup can be calculated using the formula Q = Area * Velocity. In this scenario, the velocity of water is determined using the equation Velocity = √(2gh), where g is the acceleration due to gravity (386 in/s²) and h is the height of the water (17 inches). The calculated velocity is 115 in/s, and the flow rate Q is found to be approximately 0.02 in³/s, based on the inner diameter of the needle (0.015 inches).

PREREQUISITES
  • Understanding of fluid dynamics principles, specifically Bernoulli's equation.
  • Knowledge of basic physics concepts such as gravitational acceleration.
  • Familiarity with unit conversions, particularly between inches and cubic inches.
  • Ability to calculate area from diameter using the formula A = π(d/2)².
NEXT STEPS
  • Study Bernoulli's equation and its applications in fluid flow analysis.
  • Learn about the effects of viscosity on flow rates in different tubing materials.
  • Explore the relationship between pressure and flow rate in fluid dynamics.
  • Investigate how to measure flow rates using flow meters in practical applications.
USEFUL FOR

Students in physics or engineering courses, educators teaching fluid dynamics, and professionals involved in fluid mechanics or hydraulic systems.

physics337
Messages
3
Reaction score
0

Homework Statement



I am trying to calculate the flow rate of the following setup. A bottle with water (density = 1000 kg/m^3) is on a lab stand, and has rubber tubing at the end of the bottle coming down to the benchtop. The top of the water is 17 inches above the benchtop. You insert a needle (with Inner diameter of 0.015 inches) into the tubing to start collecting water in a beaker for 30 seconds. What is the Flow Rate of the water that is being collected?

Homework Equations





The Attempt at a Solution



Velocity = √(2gh) =√(2*(386)*(17))=115 in/s
Q=Area* Velocity = ∏ (0.015/2)^2 * 115 = .02 in^3 / s
 
Physics news on Phys.org
physics337 said:

Homework Statement



I am trying to calculate the flow rate of the following setup. A bottle with water (density = 1000 kg/m^3) is on a lab stand, and has rubber tubing at the end of the bottle coming down to the benchtop. The top of the water is 17 inches above the benchtop. You insert a needle (with Inner diameter of 0.015 inches) into the tubing to start collecting water in a beaker for 30 seconds. What is the Flow Rate of the water that is being collected?

Homework Equations





The Attempt at a Solution



Velocity = √(2gh) =√(2*(386)*(17))=115 in/s
Q=Area* Velocity = ∏ (0.015/2)^2 * 115 = .02 in^3 / s


Type your solution properly and with reasoning.
 

Similar threads

Poiseuille equation for water flow rate
  • · Replies 16 ·
Replies
16
Views
3K
Calculate flow rate in a tap and the height of a reservoir
  • · Replies 5 ·
Replies
5
Views
3K
Finding Velocity of Water Flow: A0 to A
  • · Replies 10 ·
Replies
10
Views
1K
Speed/Velocity and Volume Flow Rate of Viscous Fluids
  • · Replies 5 ·
Replies
5
Views
2K
The Pressure Distribution in a Narrowing Tube with Increasing Fluid Velocity
  • · Replies 10 ·
Replies
10
Views
4K
Pressure and heights of a manometer -- Find the fluid flow rate
  • · Replies 1 ·
Replies
1
Views
2K
Calculating Oil Flow Rate in Cast Iron Pipe
  • · Replies 5 ·
Replies
5
Views
2K
Maximum height for water from a fire hose
  • · Replies 4 ·
Replies
4
Views
4K
Calculating Velocity of Water Flow in Open Channel
  • · Replies 11 ·
Replies
11
Views
2K
Flow rate needed to lift object inside a vertical pipe
  • · Replies 4 ·
Replies
4
Views
2K