Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

One person got infected by V. vulnificus after eating some oysters. We want to estimate how much power a bacteria needs in order to move

One person got infected by V. vulnificus after eating some oysters. We want to estimate how much power a bacteria needs in order to move inside a capillary. The Reynolds number in a capillary is about 0.001, which means that blood's flow in a capillary is well approximated by Stokes flow model 1. In the following questions, assume that the bacteria is a sphere with an effective radius 0.55 m (although the shape of V. vulnificus is more like a comma) moving at a speed of 200.0 m/s relative to the blood flow 2. For simplicity, the dynamical viscosity, , is set to 0.030 kg/m/s 3. Give the result with two significant digits.

(a) Find the drag force that the bacteria experiences in the capillary. (b) Find the power that the bacteria needs to produce in order to move at that speed with respect to the blood flow. Hint: remember that power can be written as P = F v. (c) Assuming that a mole of glucose can produce 380 kcal in the form of usable energy (ATP)4. and that all that ATP is used for keeping the bacteria in motion, how many grams of glucose per second does the bacteria consume? Hint: find the conversion of 1 mole of glucose to gram and cal to Joule.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

The Physics of Energy

Authors: Robert L. Jaffe, Washington Taylor

1st edition

1107016657, 978-1107016651

More Books

Students also viewed these Physics questions

Question

1. Information that is currently accessible (recognition).

Answered: 1 week ago