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.

University Physics Volume 1
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Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 89P: A container of water has a cross-sectional area of A=0.1m2 . A piston sits top of the water (see be...
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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.
Transcribed Image Text: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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