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Q:
A certain unsharpened cylindrical pencil is inch in diameter and 10 inches long. What is the pencil's surface area?
a. 2 in2
b. 4 in2
c. 6 in2
d. 8 in2
Q:
Shown below are two beams both made from a standard 2 x 8. If each beam is supported at both ends, and if you were to stand in the middle of the beam, which beam would deflect more in the center? Why?a) b)
Q:
The second moment of area provides information about an object's
a. ability to resist bending
b. ability to resist stretching
c. ability to resist compression
d. none of the above
Q:
If an object is completely submerged in a fluid, its buoyant force is equal to
a. the weight of the object
b. the volume of the fluid displaced
c. the weight of the fluid displaced
d. the density of the fluid displaced
Q:
There are 640 acres in a square mile. How many square miles are there in 80 acres?
a. b. c. d.
Q:
In the spring of 2010 an off-shore oil drilling rig exploded in the Gulf of Mexico. Not long after the explosion there was a 2 mm thick oil slick that was 5 miles long by 3 miles wide. How much oil was in the slick? Express your answer in gallons.
Q:
A motorcycle has a magnet attached to the rim of its front wheel. The front tire has a diameter of 60 cm. A magnetic pickup is attached to the front forks and receives an electronic pulse each time the magnet passes by. How far has the motorcycle traveled when the pickup has received 10 pulses?
a. 600 cm
b. 60 cm
c. 188.5 m
d. 18.85 m
Q:
An 8-foot tall vertical stack of firewood casts a 12-foot shadow on horizontal ground. What is the angle of the sun in the horizon?
a. b. c. d.
Q:
A certain sport utility vehicle is equipped with 17" rims (which correspond to a tire diameter of 25.7"). The vehicle is later upgraded to the 19" rims (which correspond to a tire diameter of 28.2"). If the onboard computer is not reset for the new tires, the odometer will not be accurate. When the odometer indicates that you have driven 1000 miles on the new tires, how many miles have you actually driven? (Round your answer to the nearest mile.)
Q:
Explain why snowshoes allow a person to walk on top of the snow without sinking in.
Q:
The strength of a tree branch is approximately proportional to its cross-sectional area while its weight is proportional to its volume. If you "scale up" a tree branch by a factor of two (double all of its linear dimensions) by what factor is its strength increased? By what factor is its weight increased?
Q:
Describe why crushed ice cools your beverage faster than larger ice cubes.
Q:
A car travels while consuming 60 liters of petrol (gasoline). What is the car's gas mileage in mpg?
Q:
From your home, you walk east and then north. If you were to walk straight home, how far do you have to walk?
a. b. c. d.
Q:
From your home, you walked east and then north. What is your total distance traveled?
a. b. c. d.
Q:
While changing oil in your motorcycle you notice that you need 2 quarts and 6 ounces of oil, but you"re using a metric graduated cylinder to measure the oil. How many milliliters of oil do you need?
Q:
Calculate the paint thickness if 2 gallons of paint covers a wall 10 feet high by 30 feet long. Use appropriate units.
Q:
How many sheets of standard notebook paper (8.5 in x 11 in) would it take to cover a football field (50 yards x 120 yards)?
Q:
How much would it cost to cover a football field (50 yard x 120 yard) with one-dollar bills (2 in x 6 in)?
Q:
How many sugar cubes (1 cm x 1 cm x 1 cm) would fit in an empty class room with the dimensions of 10 m by 20 m by 4 m?
a. 800 million
b. 8 million
c. 800,000
d. 80, 000
Q:
How many nanometers are there in one meter?
a. b. c. d.
Q:
How many meters are there in one nanometer?
a. b. c. d.
Q:
How many millimeters are there in one meter?
a. b. c. d.
Q:
How many meters are there in one millimeter?
a. b. c. d.
Q:
How many centimeters are there in one meter?
a. b. c. d.
Q:
How many meters are there in one centimeter?
a. b. c. d.
Q:
How many cubic inches are there in a cubic foot?
a. 1
b. 12
c. 144
d. 1728
Q:
How many square inches are there in a square foot?
a. 1
b. 12
c. 144
d. 1728
Q:
Another name for rectangular coordinate system is
a. polar coordinate system
b. cylindrical coordinate system
c. square coordinate system
d. Cartesian coordinate system
Q:
Which of the following coordinate systems is most common?
a. rectangular
b. cylindrical
c. spherical
d. polar
Q:
Which is greater?
a. 1 inch
b. 1 centimeter
Q:
Which is greater?
a. 1 yard
b. 1 meter
Q:
Which is greater?
a. 1 kilometer
b. 1 mile
Q:
Which of the following are "length" or "length-related" dimensions?
a. Distance
b. Area and volume
c. Diameter and circumference
d. All of the above
Q:
If you were to measure the cross section of a 2 x 4 you would find it to be 1.5 inches wide by 3.5 inches tall. What are the numbers "1.5 inches by 3.5 inches" called?
a. Actual size
b. Nominal size
c. Finished size
d. Total size
Q:
If you were to measure the cross section of a 2 x 4 you would find it to be 1.5 inches wide by 3.5 inches tall. What do the numbers "2 x 4" refer to?
a. Actual size
b. Nominal size
c. Approximate size
d. Rough size
Q:
Coordinate systems are used to locate things with respect to a known origin.
a. True
b. False
Q:
Length is one of the seven fundamental or base dimensions
a. True
b. False
Q:
What is the SI unit for torque?
a. N.m
b. kg.m
c. N/m
d. kg/m
Q:
What is the SI unit for power?
a. W
b. J/S
c. kg.m2/s3
d. All of the above
Q:
What is the SI unit for pressure?
a. Pa
b. N/m2
c. kg/m.s2
d. All of the above
Q:
What is the SI unit for angular velocity?
a. m/s
b. rad/s
c. cm/s
d. mm/s
Q:
What is the SI unit for momentum?
a. kg.m/s
b. N.m/s
c. m/s2
d. m2/s
Q:
A 500 sheet rim of copy paper has a thickness of 2.25 inch. What is the average thickness of each sheet in mm?
a. 0.11 mm
b. 1.1 mm
c. 11 mm
d. none of the above
Q:
The acceleration due to gravity at the surface of the moon is approximately 1/6 of the earth's. The acceleration due to gravity at the surface of moon is equal to:
a. 1.6 ft/s2
b. 64 in/s2
c. 5.4 m/s2
d. none of the above
Q:
The Btu (British thermal unit) is defined as the amount of heat required to raise the temperature of 1 lbm of water by 1F. If a home has a furnace that is rated at 1000 Btu/min what is this rating in kW?
a. 17.584 kW
b. 17584 kW
c. 293 kW
d. 0.293 kW
Q:
A barrel can hold 42 gallons of oil. How many liters of oil are in the barrel?
a. 15.9 liters
b. 42 liters
c. 159 liters
d. 4.2 liters
Q:
A one degree temperature difference in Celsius is equal to one degree temperature difference in Kelvin.
a. True
b. False
Q:
A one degree temperature difference in Fahrenheit is equal to one degree temperature difference in Rankine.
a. True
b. False
Q:
A one degree temperature difference in Fahrenheit is equal to one degree temperature difference in Celsius.
a. True
b. False
Q:
The density of steel is approximately 7600 kg/m3. Express the density in BG and U.S. Customary units.
Q:
An individual running on a treadmill machine generated an average power of approximately 0.27 hp. Express this power in Watts.
Q:
A swimming pool is 50 m long, 10 m wide and 3 m deep. Express the volume of the water in the swimming pool in ft3 and gallons.
Q:
A parking lot is long by wide. Express the area of the garden in m2and acres.
Q:
Express the work done [work = (force)(distance)] by a 100 lbf force exerted over a distance of 50 ft using SI units.
Q:
Convert the following:
a. to b. to gallons
c. to kW
Q:
A motorcyclist who weighs 160 lbf accelerates his motorcycle at a rate of 10 ft/s2 over a distance of 100 yards in 5 seconds. Convert all of the values given to SI units.
Q:
An engineering professor weighs 200 lbf. Express the mass and the weight of the professor in SI and U.S. Customary units.
Q:
Determine the number of significant digits for the following numbers: Number of Significant Digits 7.8 109.3 0.003856
Q:
The absolute pressure of a fluid point at a certain depth can be calculated using the following equation: where absolute pressure of the fluid atmospheric pressure density of fluid gravitational acceleration, depth of the point below the fluid surface What is the appropriate unit for if the preceding equation is to be homogeneous in units?
Q:
The conduction heat transfer rate through a wall is modeled by the following equation: where heat transfer rate in thermal conductivity of the wall area of the wall in wall thickness in steady-state temperature difference between the inside and the outside surfaces of the wall, in What is the appropriate unit for k if the preceding equation is to be homogeneous in units?
Q:
The amount of heat needed to change the temperature of an object can be calculated using the following equation: where amount of heat in Joules (J) mass of object in kilograms (kg) specific heat of object change in temperature in C
What is the appropriate unit for if the preceding equation is to be homogeneous in units?
Q:
The force between two charged particles can be calculated using the following equation: where force in Newtons (N)
k = electrostatic constant charge of particle #1 in Coulombs (C) charge of particle #2 in Coulombs (C) distance between particles in meters (m)
What is the appropriate unit for k if the preceding equation is to be homogeneous in units?
Q:
When an aluminum cookie sheet is placed in an oven and heated up, it expands due to the temperature change. The change in area of the cookie sheet is modeled using the following equation: where change in area in original area in area coefficient of thermal expansion change in temperature in What is the appropriate unit for if the preceding equation is to be homogeneous in units?
Q:
The speed of sound in a fluid can be calculated using the following equation: where speed of sound in bulk modulus fluid density in What is the appropriate unit for B if the preceding equation is to be homogeneous in units?
Q:
The fundamental frequency of a vibrating guitar string is modeled by the following equation: where vibration frequency in Hertz length of string in meters string tension in Newtons string density
What is the appropriate unit for if the preceding equation is to be homogeneous in units?
Q:
The amount of time it takes for an object bounce up and down through one complete cycle is called the "period" and is calculated using the following equation: where period in seconds mass of object in kilograms spring rate
What is the appropriate unit for k if the preceding equation is to be homogeneous in units?
Q:
The friction force between two surfaces is modeled using the following equation: where friction force in coefficient of friction normal force in What is the appropriate unit for if the preceding equation is to be homogeneous in units?
Q:
Calculate the number of gallons of water that will fit into an aquarium with dimensions:
Q:
Convert the information given in the table below from the U.S. customary units to SI units. U.S. Customary Units
SI Units 60 psi 180 lbf
Q:
Convert the information given in the table below from the U.S. customary units to SI units. U.S. Customary Units
SI Units 60 mph
and 24000 Btu/h 100 miles
and
Q:
Convert the information given in the table below from SI units to the U.S. customary units. SI Units
U.S. Customary Units
Q:
Convert the information given in the table below from SI units to U.S. Customary units.SI UnitsU.S. Customary Units90 km/hand 30 m/sand 20 m20 kg
Q:
The ice at a certain hockey rink is made by freezing water that is 1.5 inch deep. How many gallons of water does it take? Approximate the rink as a by rectangle.
Q:
How many times does the average human heart beat during an average lifetime (75 years)?
Q:
One slug is equal to
a. 32.2 lbm
b. 1 lbm
c. 1/32.2 lbm
d. None of the above
Q:
Write the fundamental SI units adjacent to each of the fundamental dimension given.
Length _________
Temperature _________
Electrical Current _________
Time _________
Luminous intensity _________
Mass _________
Amount of a substance _________
Q:
Which of the following are U.S. Customary units?
a. gallons, yards, horsepower
b. barrels, Fahrenheit, Watts
c. acres, hectares, liters
d. cubic yards, Pascals, Joules
Q:
Which of the following are fundamental British Gravitational units?
a. seconds, meters, liters
b. pound force, seconds, feet
c. Newton, seconds, kilograms
d. seconds, kilograms, Kelvins
e. hours, meters, Watts
Q:
Which of the following are fundamental SI units?
a. seconds, meters, liters
b. seconds, meters, grams
c. Newton, seconds, kilograms
d. seconds, kilograms, Kelvins
e. hours, meters, Watts