Engineering Fundamentals: An Introduction to Engineering, 4th ed.c

154 Chapter 6 Fundamental Dimensions and Units

6.5. Determine the number of significant digits for the

following numbers.

6.6. Present the results of the following operations using the

proper number of significant digits.

6.7. For the following systems, identify the major compo-

nents, and briefly explain the function or the role of

each component: a dress shirt, pants, a skirt, shoes, a

bicycle, roller blades.

6.8. For the following systems, identify the major

components:

a. a household refrigerator

b. a computer

c. the human body

d. a building

e. a hot water heater

f. a toaster

g. an airplane

6.9. Investigate what observations the following laws

describe:

a. Fourier’s law

b. Darcy’s law

c. Newton’s law of viscosity

d. Newton’s law of cooling

e. Coulomb’s law

f. Ohm’s law

g. the ideal gas law

h. Hooke’s law

i. the first law of thermodynamics

j. Fick’s law

k. Faraday’s law

6.10. Investigate the operation of various turbines. Write a

brief report explaining the operation of steam turbines,

hydraulic turbines, gas turbines, and wind turbines.

6.11. In a brief report, discuss why we need various modes of

transportation. How did they evolve? Discuss the role

of public transportation, water transportation, highway

transportation, railroad transportation, and air trans-

portation.

6.12. Identify the major components of a computer, and briefly

explain the function or the role of each component.

6.13. Which one of the following equations is dimensionally

homogeneous? Show your proof.

a.

b.

c.

d.

where

Fforce (N)

xdistance ( m)

mmass (kg)

Vvelocity ( m/s)

ttime (s)

6.14. A car has a mass of 1500 kg. Express the mass and the

weight of the car using BG and U.S. Customary units.

Show the conversion steps.

6.15. Express the kinetic energy ( mass)(speed)

2

of a

car with a mass of 1200 kg and moving at speed of

100 km/h using SI, BG, and U.S. Customary units.

Show the conversion steps.

6.16. A machine shop has a rectangular floor shape with

dimensions of 30 ft by 50 ft. Express the area of the floor

in ft

2

, m

2

, in

2

, and cm

2

. Show the conversion steps.
6.17. A trunk of a car has a listed luggage capacity of 18 ft
3
.
Express the capacity in in
3
, m
3
, and cm
3
. Show the con-
version steps.
6.18. The 2005 Acura RL has a listed 300 horsepower,
3.5 liter engine. Express the engine size in both kW
and in
3
. Show the conversion steps.
6.19. The density of air at standard room conditions is
1.2 kg /m
3
. Express the density in BG and U.S. Cus-
tomary units. Show the conversion steps.

1

2

F 1 t 2 t 12 mV 2 mV 1

F 1 V 2 V 12 

1

2

mx

2

2 

1

2

mx

2

1

F

1

2

mV

2

2 

1

2

mV

2

1

F 1 x 2 x 12 

1

2

mV

2

2 

1

2

mV

2

1

Number of Significant Digits

286.5

2.2 10

2

2200

0.0286

Your Calculator Should Be

Displays Recorded As

1.285610.1

155 0.521

155 0.52

1558  12 

3.585 1.2

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