Consider a tank 1 m in diameter and 10 m Stephanie Redfern @The Fluid

Question 24 / 40: Consider a tank 1 m in diameter and 10 m high. The tank is being filled with a liquid at a rate of 10 gallons/min. The liquid drains from the tank at a rate Q = f h, where h is the height of liquid in the tank, and f is 1 gal/(min m). Which of the following best represents how long it takes to fill the tank to a height of 5 m?

A 1.44 hours

B 172 minutes

C 144 minutes

D 1.72 hours

<< First < Previous Flashcard Next > Last >>

Explanation:

Write an ordinary differential equation for the height of fluid in the tank as dh/dt x Area= (10 gal/min - f h). Be careful to convert units appropriately. In order to integrate, use a substitution U = 10 - fh. Upon integration, one gets an exponential approach to filling the tank.

Quiz Home Page

https://www.jobilize.com/fluid-mechanics-mcq-quiz-by-stephanie-redfern-tuan-dinh

Fluid Mechanics ME201

Author:

Stephanie Redfern

The Saylor Foundation

USA

Access: Public Instant Grading

Attribution: Stephanie Redfern and Tuan Dinh. Fluid Mechanics. The Saylor Academy 2014, http://www.saylor.org/courses/me201/

Ask

	Anthropology Language Culture By Richley Crapo Start Assignment
	19 AP 19 Cardiovascular System Heart Essay By OpenStax Start Flashcards
	10 AP Key Terms 10 Muscle Tissue Key Terms By OpenStax Start Key Terms
	7 Sociology 07 Deviance, Crime, Social Control MCQ By OpenStax Start Quiz
	Who Said This Quote Quiz By Yasser Ibrahim Start Quiz
	43 Biology 43 Animal Reproduction Development MCQ By OpenStax Start Quiz
	Human A&P 2- Final By Madison Christian Start Flashcards
	1 Neuroanatomy 01 The Cranial Nerves By Stephen Voron Start Quiz
	1 Microbiology Final 1 By Madison Christian Start Quiz
	NCE Ch 04 Social and Cultural Foundations By Anh Dao Start Quiz

Copy and paste the following HTML code into your website or blog.