A cylindrical tank of diameter D is currently filled with water to a height h, as shown in the figure to the right. Water enters the tank through the pipe at (1) with a cross-sectional area A₁ and a uniform velocity V₁. The height of water in the tank is increasing at a constant rate of 5 mm/s. Given the parameters below, find the volumetric flow rate in the pipe at (2), V2, in cm³/s, and classify it as an inflow or outflow. D = 20 cm h = 0.5 m A₁ = 1 cm² V₁ = 0.1 m/s h 1 V₁ D Pwater = 1,000 kg/m³ V2 2
A cylindrical tank of diameter D is currently filled with water to a height h, as shown in the figure to the right. Water enters the tank through the pipe at (1) with a cross-sectional area A₁ and a uniform velocity V₁. The height of water in the tank is increasing at a constant rate of 5 mm/s. Given the parameters below, find the volumetric flow rate in the pipe at (2), V2, in cm³/s, and classify it as an inflow or outflow. D = 20 cm h = 0.5 m A₁ = 1 cm² V₁ = 0.1 m/s h 1 V₁ D Pwater = 1,000 kg/m³ V2 2
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question

Transcribed Image Text:A cylindrical tank of diameter D is currently filled with water to
a height h, as shown in the figure to the right. Water enters the
tank through the pipe at (1) with a cross-sectional area A₁ and a
uniform velocity V₁. The height of water in the tank is increasing
at a constant rate of 5 mm/s.
Given the parameters below, find the volumetric flow rate in the
pipe at (2), V2, in cm³/s, and classify it as an inflow or outflow.
D = 20 cm
h = 0.5 m
A₁ = 1 cm²
V₁ = 0.1 m/s
h
1
V₁
D
Pwater =
1,000 kg/m³
V2
2
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