Task3a) The Radiator department also wants to use the software to study fluid pressure inside the radiatorof the car and, have requested you to validate the software. The rate of change of the pressure(F(t)) at any instant of time is proportional to the difference between the pressure of the liquidand a reference value as following:dF:-(F – P/Q)dtUse Q=65 and P=5 values. The pressure is found to be F = 1000 when t= 1 sec.where t = time in seconds.Derive an equation to predict the pressure of the fluid flows in the radiator at any given time, assumingthat at all times F >_PAlso find the pressure at time t = 100 s.b) The same department also investigates problem associated with the relationship between thevelocity of the pressing the pedal and the rate of change of that velocity. So you were asked tovalidate the software using the growth equation given by:dv= Pv-dtWhere v(t) is the velocity of the pedal at time = t in seconds and P=5.Derive an equation for the velocity of the pedal given that at the beginning (t=5 sec), the velocity is 10m/s, assuming that at all times v(t) > 0.Find the value of the velocity at t=10 seconds.

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Description: Task3a) The Radiator department also wants to use the software to study fluid pressure inside the radiatorof the car and, have requested you to validate the software. The rate of change of the pressure(F(t)) at any instant of time is proportional to

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a) The Radiator department also wants to use the software to study fluid pressure inside the radiator of the car and, have requested you to validate the software. The rate of change of the pressure (F(t)) at any instant of time is proportional to the difference between the pressure of the liquid and a reference value as following: dF -=-(F – P/Q) dt Jse Q=65 and P=5 values. The pressure is found to be F = 1000 when t= 1 sec. where t= time in seconds.

a) The Radiator department also wants to use the software to study fluid pressure inside the radiator of the car and, have requested you to validate the software. The rate of change of the pressure (F(t)) at any instant of time is proportional to the difference between the pressure of the liquid and a reference value as following: dF -=-(F – P/Q) dt Jse Q=65 and P=5 values. The pressure is found to be F = 1000 when t= 1 sec. where t= time in seconds.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Fluid Pressure

The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.

Gauge Pressure

Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.

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Question

Task3
a) The Radiator department also wants to use the software to study fluid pressure inside the radiator
of the car and, have requested you to validate the software. The rate of change of the pressure
(F(t)) at any instant of time is proportional to the difference between the pressure of the liquid
and a reference value as following:
dF
:-(F – P/Q)
dt
Use Q=65 and P=5 values. The pressure is found to be F = 1000 when t= 1 sec.
where t = time in seconds.
Derive an equation to predict the pressure of the fluid flows in the radiator at any given time, assuming
that at all times F >_P
Also find the pressure at time t = 100 s.
b) The same department also investigates problem associated with the relationship between the
velocity of the pressing the pedal and the rate of change of that velocity. So you were asked to
validate the software using the growth equation given by:
dv
= Pv
-
dt
Where v(t) is the velocity of the pedal at time = t in seconds and P=5.
Derive an equation for the velocity of the pedal given that at the beginning (t=5 sec), the velocity is 10
m/s, assuming that at all times v(t) > 0.
Find the value of the velocity at t=10 seconds.

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