Problems 193
computed in this manner to your results in parts (a)
and (b). Are there any other ways that you could
have determined the area of the profile? Explain.
- Estimate how much material is needed to make 100,000
traffic yield signs. Investigate the size of one side of a
yield sign and the kind of material it is made from. Write
a brief memo to your instructor discussing your findings.
7.21. As explained in the chapter, the air resistance to motion
of a vehicle is determined experimentally by placing it in
a wind tunnel. The air speed inside the tunnel is changed,
and the drag force acting on the vehicle is measured. The
experimental data is normally represented by a single
coefficient that is called thedrag coefficient. It is defined
by the following relationship:
- Estimate how much material is needed to make 100,000
or, in a mathematical form,
It was also explained in this chapter that the frontal
areaAis the frontal projection of the area, and could
be approximated simply by multiplying 0.85 times
the width and the height of a rectangle that outlines
the front of a vehicle when you view it from a direc-
tion normal to the front windshield. The 0.85 factor
is to adjust for rounded corners, open space below
the bumper, and so on. Typical drag coefficient val-
ues for sports cars are between 0.27 and 0.38, and
for sedans the values are between 0.34 and 0.5. This
assignment requires you to actually measure the
frontal area of a car. Tape a ruler or a yardstick to the
bumper of your car. The ruler will serve as a scale.
Take a photograph of the car and use any of the
methods discussed in this chapter to compute the
frontal area of the car.
- A machinist in an engineering machine shop has
ordered a sheet of plastic with dimensions of 10 ft
12 ft 1 in. width, length, and thickness, respecti-
vely. Can the machinist get the sheet of plastic inside
the machine shop provided that the door dimensions
are 6 ft 8 ft? Give the maximum dimensions of a
sheet that can be moved inside the shop and explain
how.
- A machinist in an engineering machine shop has
Cd
Fd
1
2
rV
2
A
.
drag force
1
2
1 air density 2 1 air speed 2
2
1 frontal area 2
Problem 7.14
0 500 miles
7.1 5. Obtain a woman’s high-heeled dress shoe and a woman’s
athletic walking shoe. For each shoe, make imprints of the
floor contact surfaces. Determine the total area for each
shoe, and assuming the woman who wears these shoes
weighs 120 lb, calculate the average pressure at the bottom
of the shoe for each shoe style. What are your findings?
What are your recommendations? Recall that
7.16. Obtain two different brands of cross-country skis. Make
imprints of the expected contact surface of the skies with
snow. Obtain a value for the average pressure for each
ski, assuming the person wearing the ski weighs 180 lb.
7.1 7. Estimate the average pressure exerted on the road by
the following.
a. A family car
b. A truck
c. A bulldozer
Discuss your findings.
7.18. Using area as your variable, suggest ways to cool freshly
baked cookies faster.
7.1 9. Estimate how much material is needed to make 100,000
stop signs. Investigate the size of one side of a stop sign
and the kind of material it is made from. Write a brief
memo to your instructor discussing your findings.
pressure
force
area
drag
coefficient
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