__Prof. Dr. Abdurrahman Tanyolaç'ın Özgün Sınav Sorularına
Örnekler:__

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^{3})
and light one is water (ρ =1000 kg/m^{3}).
Daily 300 000 m^{3} is pumped through the pipeline and while water
flows no difference in the manometer arms is observed. If there is no flow, the
difference is 15 cm. Calculate the average velocity of the water in the pipe in
m/s when pumps are on.

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^{o}C) the bug jumps randomly
anywhere being incapable of sensing the environment with its antenna. Being
exposed to unusual temperature, the structure of its legs/feet limits the
number of jumps. If it passes over the border of the hotplate then it survives
with fried legs but if it cannot then it becomes a part of the food to be
served! You are expected to come up with
a program which simulates the random track of the bug and determines whether it
survives. Then the program applies the simulation to 1000 bugs to have
statistical values of average survival percent and average escape time of the
survivors. Refer to your textbook and other java sources for the use of
randomize function of Java.

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A
guy once bought a flat in Eryaman-Ankara
with a price of 30,000 USD in 1991 and sold it for 60,000 USD in the year 2008
(after 17 years). Meantime he got a constant net rent income of 200 USD per
month, which he immediately deposited into a monthly savings account.
Considering a constant annual interest rate of 4% (for monthly deposits, please
have 1/12 of this value), deduce whether the guy made a fruitful investment or
not using the present values of the year 2008.

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__A
true observation.__ In some universities abroad (in less developed
countries), instructors collect a special fee of 25 USD from each student
taking the course. The instructors claim that there are really underpaid even
below the poverty line i.e. the paycheck of a professor is 100 USD maximum
while at least 500 USD per month is a must for making a living in that country.
As a poor student you are expected to turn in this “fine” at the end of
semester before the announcement of the final grades. If you do not pay then
you fail from that course no matter how hard you work and how well you perform.
However, if you pay, you get a straight “A” from the course regardless of your
success in exams and attendance. Evaluate this case in terms of human survival,
bribery, and professional ethics. Name the ethic codes violated, if any.

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A
couple, both professors, work at the university and can save together a fixed
amount of 2000 TL per month. If there are 27 years for their retirement and
annual interest rate is 7.95 % after
tax, calculate the value of their
savings at the time of retirement __as of today__. Is
the total savings enough for a car and a house when
they get old? To find monthly
interest rate, divide the annual value
by 12.

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A
sweet and smart kindergarten girl ask you why the top of the mountains is
colder than the seaside while the summit of the mountain is closer to the sun,
which is really hot. Her very own experience taught her the fact that if one
gets closer to the hot object it gets hotter (she touched the stove once!).
Explain her the answer as the way she can understand.

·
The
guys A and B are good old buddies and are fanatic drivers of Ford Focus Sedan
manual gear (100 HP, gasoline engine). They both drive 10,000 kms per year but have different philosophies of renewing
cars. The guy A buys the car, uses 2 years and sells it while buying a new one
of the same kind with the idea that second hand selling price of a 2 year old
car is still high. The guy B, buys the car, uses 8 full years then sells it and
buys a new one with the idea that the car is tough to stand 8 years (or 80000 kms) without any major problem or cost and keeping it 8
years saves a lot of money. Annual cost of the car maintenance is constant up
to 100,000 kms as the annual traffic insurance. After
3 years of exemption for a new car, one has to renew DMV check-up license every
2 years which costs 250 TL fixed for last 8 years. The guys A and B bought cars
in the year 2000 and they came along to year 2008. Assuming a fixed interest
rate of 8% per annum and taking the below new and second hand prices of the
cars into account, deduce which guy is really saving money. (Hint: make all
your calculations with respect to the year 2008).

·

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__an ordinary bird__ of
natural instincts.

·

a)
__Excerpt: Draw slowly or you can’t STOP__!)

b)
The ratio of fuel consumption at two different
velocities for the same car is proportional to the ratio of squares of
corresponding velocities, i.e. your car consumes 4 times more gasoline if you
double the speed (__Excerpt: Drive at an economic speed, i.e. at 80 km/h
engaged to 5 ^{th} gear at 2000 rpm, see the miracle in mph! Plus you
can enjoy watching scenery__)

Formula: KE=0.5*M*(V)^{2} W=
F*D F_{d}=
0.5*C_{d}*(V)^{2}*Ar*_{p}

_{ }

Here KE is kinetic energy,
M is the mass of the car, V is the velocity of the car, W is work done after
the brake till complete stop, D is the brake distance, F_{d}
is the drag force of the air acting on the moving car, C_{d} isris the drag coefficient, the density of the air and A_{p}
is the cross section of the car perpendicular to the direction of movement.
Assume road is uniform and the brake is solid. Please bear in mind that for a
particular car M, C_{d}, A_{p}
and are r constant.