**Problem Statement:**The density of water is 1000 kg/m³, and it has a viscosity of 0.001 kg/(m·s). What is the Reynolds number for a flow with speed = 1 m/s and depth = 2 m?**Solution Explanation:**To determine the Reynolds number (\(Re\)) for the given flow, we will use the formula:\[ Re = \frac{\rho \cdot V \cdot L}{\mu} \]Where:- \( \rho \) = density of the fluid- \( V \) = velocity of the flow- \( L \) = characteristic length (in this case, the depth)- \( \mu \) = dynamic viscosity of the fluid**Given:**- \( \rho = 1000 \, \text{kg/m}^3 \)- \( \mu = 0.001 \, \text{kg/(m·s)} \)- \( V = 1 \, \text{m/s} \)- \( L = 2 \, \text{m} \)**Substitute the values into the formula:**\[ Re = \frac{1000 \, \text{kg/m}^3 \times 1 \, \text{m/s} \times 2 \, \text{m}}{0.001 \, \text{kg/(m·s)}} \]\[ Re = \frac{2000 \, \text{kg·m/s}^2}{0.001 \, \text{kg/(m·s)}} \]\[ Re = 2,000,000 \]Therefore, the Reynolds number for the given flow is 2,000,000.

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Answered: The density of water is 1000 kg/m³, and…

The density of water is 1000 kg/m³, and it has a viscosity of 0.001 kg/(m*s). What is the Reynolds number for a flow with speed = 1 m/s and depth = 2 m?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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