A fluid has density 810 kg/m3 and flows with velocity v = zi + yj + x2 k, where x, y, and z are measured in meters and the components of v in meters per second. Findthe rate of flow outward through the cylinder x² + y2 = 9, 0 sz 2.kg/s

To find F, multiply the density ρ and the velocity v. ρ=810v=zi+y2j+x2kF=ρv=810zi+y2j+x2k Thus,…

Answered: A fluid has density 810 kg/m³ and flows…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A fluid has density 810 kg/m³ and flows with velocity v = zi + y²j+x< k, where x, y, and z are measured in meters and the components of v in meters per second. Find the rate of flow outward through the cylinder x2 + y² = 9, 0 s z s 2. kg/s