A cylindrical tank is being filled with water flowing with constant velocity V1 through a tap (Tap 1) that has an opening of diameter D1. The tank is initially empty and contains a tap (Tap 2) placed H1 m above the bottom of the tank that drains water at a velocity of ? = √2?h. Assuming flow through Tap 2 starts the moment Tank 1 2 height reaches H1 m, write the differential equation governing the change of water level inside the tank with time (?h =? ); ?? i) Before water level reaches H1. ii) After water level reaches H1 up until the tank is full. Do NOT attempt to solve the differential equations! Just drive the differential equations and write the boundaries of the definite integrals.
A cylindrical tank is being filled with water flowing with constant velocity V1 through a tap (Tap 1) that has an opening of diameter D1. The tank is initially empty and contains a tap (Tap 2) placed H1 m above the bottom of the tank that drains water at a velocity of ? = √2?h. Assuming flow through Tap 2 starts the moment Tank 1 2 height reaches H1 m, write the differential equation governing the change of water level inside the tank with time (?h =? ); ?? i) Before water level reaches H1. ii) After water level reaches H1 up until the tank is full. Do NOT attempt to solve the differential equations! Just drive the differential equations and write the boundaries of the definite integrals.
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.8P: In some applications dealing with very high speeds, the velocity is measured in mm/s. Convert 8mm/s...
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A cylindrical tank is being filled with water flowing with constant velocity V1 through a tap (Tap 1) that has an opening of diameter D1. The tank is initially empty and contains a tap (Tap 2) placed H1 m above the bottom of the tank that drains water
at a velocity of ? = √2?h. Assuming flow through Tap 2 starts the moment Tank 1 2
height reaches H1 m, write the differential equation governing the change of water level inside the tank with time (?h =? );
??
i) Before water level reaches H1.
ii) After water level reaches H1 up until the tank is full.
Do NOT attempt to solve the differential equations!
Just drive the differential equations and write the boundaries of the definite integrals.
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