still, and a jet from a fire hose is used to start it moving. The mass flow rate of the fluid from the fire hose is 100 kg / s, and its velocity relative to fixed coordinates is 50 m/s. The cup on the rear of the cart turns the jet around so that it leaves in the -x direction with the same velocity relative to the cart with which it entered. Calculate the velocity-time behavior of the cart; assume the jet is unaffected by gravity. (This is not a very practical problem, but it is analogous to the more complex and interesting problem of starting a large turbine from rest. All such turbines must be occasionally shut down for maintenance; their starting and stopping behavior is more complex than their behavior running at a steady speed.)

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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Question
7.40. The cart in Fig. 7.38 has a mass of 2000 kg. It is resting
on frictionless wheels on a solid, level surface and
encounters no air resistance. At time zero it is standing
still, and a jet from a fire hose is used to start it moving.
The mass flow rate of the fluid from the fire hose is 100
kg / s, and its velocity relative to fixed coordinates is 50
m/s. The cup on the rear of the cart turns the jet around
so that it leaves in the -x direction with the same velocity
relative to the cart with which it entered. Calculate the
velocity-time behavior of the cart; assume the jet is
unaffected by gravity. (This is not a very practical
problem, but it is analogous to the more complex and
interesting problem of starting a large turbine from rest.
All such turbines must be occasionally shut down for
maintenance; their starting and stopping behavior is more
complex than their behavior running at a steady speed.)
Transcribed Image Text:7.40. The cart in Fig. 7.38 has a mass of 2000 kg. It is resting on frictionless wheels on a solid, level surface and encounters no air resistance. At time zero it is standing still, and a jet from a fire hose is used to start it moving. The mass flow rate of the fluid from the fire hose is 100 kg / s, and its velocity relative to fixed coordinates is 50 m/s. The cup on the rear of the cart turns the jet around so that it leaves in the -x direction with the same velocity relative to the cart with which it entered. Calculate the velocity-time behavior of the cart; assume the jet is unaffected by gravity. (This is not a very practical problem, but it is analogous to the more complex and interesting problem of starting a large turbine from rest. All such turbines must be occasionally shut down for maintenance; their starting and stopping behavior is more complex than their behavior running at a steady speed.)
Jet in
V
sys
FIGURE 7.38
Starting a cart with a fire hose jet.
Transcribed Image Text:Jet in V sys FIGURE 7.38 Starting a cart with a fire hose jet.
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