A cylindrical tank of radius R and length I is placed with its axis horizontal and has a drain of area "a" at the bottom. It is initially filled with water upto height H1. If the drain is opened, then the time it takes for the water in the tank to reach to height H2 (H2 < H1) is given by the following integral: t = 21 H2 V2RH-h² dh where h is height at time t. Cp is the coefficient of discharge – a constant Cpa/2g H, depending upon the geometry of the drain. A tank has R = 1m,l = 3 m and Cp = 0.9. The drain has diameter 5 cm. The tank is half -full with water. How long does it take for the tank to empty? Determine the variation of height with time. C.
A cylindrical tank of radius R and length I is placed with its axis horizontal and has a drain of area "a" at the bottom. It is initially filled with water upto height H1. If the drain is opened, then the time it takes for the water in the tank to reach to height H2 (H2 < H1) is given by the following integral: t = 21 H2 V2RH-h² dh where h is height at time t. Cp is the coefficient of discharge – a constant Cpa/2g H, depending upon the geometry of the drain. A tank has R = 1m,l = 3 m and Cp = 0.9. The drain has diameter 5 cm. The tank is half -full with water. How long does it take for the tank to empty? Determine the variation of height with time. C.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Problem 2
A cylindrical tank of radius R and length I is placed with its axis horizontal and has a drain of area "a" at
the bottom. It is initially filled with water upto height H1. If the drain is opened, then the time it takes
for the water in the tank to reach to height H2 (H, < H1) is given by the following integral: t =
cH2 V2RH-h²
Vh
21
- dh where h is height at time t. C, is the coefficient of discharge - a constant
Cpa/2g H1
depending upon the geometry of the drain. A tank has R
diameter 5 cm. The tank is half -full with water. How long does it take for the tank to empty? Determine
1m, l = 3 m and Cp = 0.9. The drain has
%3|
the variation of height with time. C
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