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1. A cylindrical tank (see right figure) is sitting on a platform that in turn rests on absolutely frictionless wheels on a horizontal plane. There is no air resistance. At time zero the level in the tank is 10 ft above the outlet, and the whole system is not moving. Then the outlet is opened and the system allowed to accelerate to the left. The flow through the outlet nozzle is frictionless. What is the final velocity, assuming that (a) The mass of the tank and cart is zero? (b) The mass of the tank and cart is 3000 lbm? 10 ft- Water 10 ft for juble

1. A cylindrical tank (see right figure) is sitting on a platform that in turn rests on absolutely frictionless wheels on a horizontal plane. There is no air resistance. At time zero the level in the tank is 10 ft above the outlet, and the whole system is not moving. Then the outlet is opened and the system allowed to accelerate to the left. The flow through the outlet nozzle is frictionless. What is the final velocity, assuming that (a) The mass of the tank and cart is zero? (b) The mass of the tank and cart is 3000 lbm? 10 ft- Water 10 ft for juble

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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**Problem Description:** A cylindrical tank, as shown in the figure, is seated on a platform which is placed on frictionless wheels on a horizontal plane. There's an absence of air resistance. Initially, the water level in the tank is 10 feet above the outlet, and the entire system is stationary. Upon opening the outlet, the system accelerates to the left due to the water flow, which passes through a frictionless nozzle. The task is to determine the final velocity under the following assumptions: a) The mass of the tank and cart is zero. b) The mass of the tank and cart is 3000 lbm (pounds mass). **Diagram Explanation:** The diagram depicts a cylindrical tank filled with water. The tank dimensions are given: a width and height of 10 feet each. Water exits through an outlet located at the bottom right of the tank, which has an exit area of 1 square foot. The setup, including the tank and cart, is mounted on frictionless wheels, indicating that external friction forces are negligible, allowing the system to accelerate freely to the left once the outlet is opened. The question involves analyzing the system's dynamics and the effects of fluid movement on the final velocity of the tank and cart system under two different mass assumptions.
Transcribed Image Text:**Problem Description:** A cylindrical tank, as shown in the figure, is seated on a platform which is placed on frictionless wheels on a horizontal plane. There's an absence of air resistance. Initially, the water level in the tank is 10 feet above the outlet, and the entire system is stationary. Upon opening the outlet, the system accelerates to the left due to the water flow, which passes through a frictionless nozzle. The task is to determine the final velocity under the following assumptions: a) The mass of the tank and cart is zero. b) The mass of the tank and cart is 3000 lbm (pounds mass). **Diagram Explanation:** The diagram depicts a cylindrical tank filled with water. The tank dimensions are given: a width and height of 10 feet each. Water exits through an outlet located at the bottom right of the tank, which has an exit area of 1 square foot. The setup, including the tank and cart, is mounted on frictionless wheels, indicating that external friction forces are negligible, allowing the system to accelerate freely to the left once the outlet is opened. The question involves analyzing the system's dynamics and the effects of fluid movement on the final velocity of the tank and cart system under two different mass assumptions.
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