À vertical cylindrical tank of height h and radius R has a narrow crack of width w running vertically from top to bottom. If the tank is initially filled with water and allowed to drain through the crack under the influence of gravity, find the instantaneous depth of the water as a function of time. How long will it take the tank to empty? Hint: First imagine the crack to be a series of adjacent orifices, anc integrate to find the total efflux from the crack in the infinites imal time interval dt. 3:43

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 62P: A certain hydraulic system is designed to exert a force 100 times as large as the put into it. (a)...
icon
Related questions
icon
Concept explainers
Topic Video
Question
A vertical cylindrical tank of height
h and radius R has a narrow crack
of width w running vertically from
top to bottom. If the tank is initially
filled with water and allowed to drain
through the crack under the influence
of gravity, find the instantaneous
depth of the water as a function of
time. How long will it take the tank to
empty? Hint: First imagine the crack
to be a series of adjacent orifices, and
integrate to find the total efflux from
the crack in the infinites imal time
interval dt.
P 3:43
Transcribed Image Text:A vertical cylindrical tank of height h and radius R has a narrow crack of width w running vertically from top to bottom. If the tank is initially filled with water and allowed to drain through the crack under the influence of gravity, find the instantaneous depth of the water as a function of time. How long will it take the tank to empty? Hint: First imagine the crack to be a series of adjacent orifices, and integrate to find the total efflux from the crack in the infinites imal time interval dt. P 3:43
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Fluid Pressure
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning