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 and P values from your student number as explained in the beginning of this assignment brief.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 >Also 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= PvdtWhere v(t) is the velocity of the pedal at time =t in seconds and P=last digit of your ID number.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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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 se Q and P values from your student number as explained in the beginning of this assignment brief. he pressure is found to be F = 1000 when t= 1 sec. where t = time in seconds. erive an equation to predict the pressure of the fluid flows in the radiator at any given time, assuming at at all times F >: Iso 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 /here v(t) is the velocity of the pedal at time =t in seconds and P=last digit of your ID number. erive an equation for the velocity of the pedal given that at the beginning (t=5 sec), the velocity is 10 /s, assuming that at all times v(t) > 0. ind the rolue of the veI 10

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 se Q and P values from your student number as explained in the beginning of this assignment brief. he pressure is found to be F = 1000 when t= 1 sec. where t = time in seconds. erive an equation to predict the pressure of the fluid flows in the radiator at any given time, assuming at at all times F >: Iso 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 /here v(t) is the velocity of the pedal at time =t in seconds and P=last digit of your ID number. erive an equation for the velocity of the pedal given that at the beginning (t=5 sec), the velocity is 10 /s, assuming that at all times v(t) > 0. ind the rolue of the veI 10

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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 and P values from your student number as explained in the beginning of this assignment brief.
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 >
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=last digit of your ID number.
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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