Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

(I)How fast does water flow from a hole at the bottom of a very wide, 4.7-m-deep storage tank filled with water? Ignore viscosity.

Short Answer

Expert verified

The speed of water flowing from the hole at the bottom is \(9.6\;{\rm{m/s}}\).

Step by step solution

01

Understanding Torricelli’s theorem

In this problem, the speed of the water flow from a hole can be calculated by the applying Torricelli’s theorem.

02

Given data

The height of storage tank is \(h = 4.7\;{\rm{m}}\).

03

Calculation of speed of the water

According to Torricelli’s equation,

\(v = \sqrt {2gh} \)

Here, g is the gravitational acceleration.

Substitute the values in the above relation.

\(\begin{array}{c}v = \sqrt {2 \times \left( {9.8\;{\rm{m/}}{{\rm{s}}^2}} \right)\left( {4.7\;{\rm{m}}} \right)} \\v = 9.6\;{\rm{m/s}}\end{array}\)

Hence, the speed of water is \(9.6\;{\rm{m/s}}\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.

Sign-up for free