BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Solutions

Chapter
Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A hypodermic needle is 3.0 era in length and 0.30 mm in diameter. What pressure difference between the input and output of the needle is required so that the flow rate of water through it will be 1 g/s? (Use 1.0 × 10−3 Pa · s as the viscosity of water).

To determine
The required pressure difference between the input and output of the needle.

Explanation
According to the principle of Poiseuille, the pressure difference required producing volume flow rate of the given fluid with viscosity η through a tube of radius R and length L is ΔP=[8ηL(ΔV/Δt)]/πR2 . Now the volume flow rate is defined as ΔV/Δt=[(Δm/Δt)]/ρ . Using all these together, the pressure difference is calculated.

Given info: The water flow rate is 1g/s , density of water is 103kg/m3 , viscosity of water is 1.0×103Pas , length of the needle is 3.0cm , and the radius of the needle is 0.30mm .

The formula for the pressure difference is,

ΔP=[8ηL[(Δm/Δt)]/ρ]πR2

  • η is viscosity of water.
  • L is length of the needle.
  • R is radius of the needle.
  • Δm/Δt is mass flow rate.
  • ρ is density of water.

Substitute 1g/s for Δm/Δt , 103kg/m3 for ρ , 1

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

Which of the following foods is fare) rich in beta-carotene? sweet potatoes pumpkin spinach all of the above

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Explain why neutrons cannot be accelerated in a cyclotron or linear accelerator.

Chemistry for Today: General, Organic, and Biochemistry