Question 1

Calculate the paint thickness if 7.57 liters of paint covers a wall 3.05 m high by 9.14 m long.Use appropriate units.

Accepted Answer

The answer of Calculate the paint thickness if 7.57 liters...

Question 2

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

Accepted Answer

According to Archimedes’ Principle, the buoyant force on an object is equal to the weight of the fluid that the object displaces. Therefore, if an object is completely submerged in a fluid, the buoyant force on it will be equal to the weight of the fluid displaced.

Question 3

How many sheets of standard notebook paper (21.59 cm x 27.94 cm) would it take to cover a football field (45.72 m x 109.73 m)?

Accepted Answer

The answer of How many sheets of standard notebook paper...

Question 4

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 8.05 km long by 4.83 km wide.How much oil was in the slick? Express your answer in cubic meters.

Accepted Answer

The answer of In the spring of 2010 an off-shore...

Question 5

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

Accepted Answer

The second moment of area, also known as the moment of inertia, is a measure of an object's ability to resist bending. It is the property of a shape that affects how much stress will be induced by a bending moment applied to it. It is not directly related to an object's ability to resist stretching or compression.

Question 6

A car travels  while consuming 60 liters of petrol (gasoline).What is the car's gas mileage in mpg?

Accepted Answer

The answer of A car travels  while consuming 60...

Question 7

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)

Accepted Answer

By applying the Pythagorean theorem, we have the following:
Distance = √[(11eb80b6_50bd_a116_8bbb_f171eb614551_TB8750_11)^2 + (11eb80b6_50bd_a117_8bbb_831d087d14d0_TB8750_11)^2]
Distance = √(121 + 121)
Distance = √242
Distance = 11eb80b6_50bd_c82a_8bbb_71ce71137962_TB8750_11
Therefore, the answer is (C) 11eb80b6_50bd_c82a_8bbb_71ce71137962_TB8750_11.

Question 8

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?

Accepted Answer

The answer of While changing oil in your motorcycle you...

Question 9

A certain unsharpened cylindrical pencil is 0.635 cm in diameter and 25.4 cm long.What is the pencil's surface area?
A)12.9 cm2
B)25.8 cm2
C)38.7 cm2
D)51.6 cm2

Accepted Answer

The surface area of a cylinder can be found by the formula: 
SA = 2πrh + 2πr^2
where r is the radius and h is the height (or length in this case) of the cylinder.

First, we need to find the radius of the pencil. Diameter = 0.635 cm, so radius = 0.3175 cm.

Next, we can plug in the values:
SA = 2π(0.3175)(25.4) + 2π(0.3175)^2
SA = 51.62375 cm^2
Rounding off to one decimal place, we get 51.6 cm^2.

Therefore, the best choice is D, 51.6 cm2.

Question 10

From your home, you walked  east and then  north.What is your total distance traveled?
A) 
B) 
C) 
D)

Accepted Answer

The answer of From your home, you walked  east...

Question 11

Describe why crushed ice cools your beverage faster than larger ice cubes.

Accepted Answer

The answer of Describe why crushed ice cools your beverage...

Question 12

There are 640 acres in a square mile.How many square miles are there in 80 acres?
A) 
B) 
C) 
D)

Accepted Answer

To find the number of square miles in 80 acres, we need to divide 80 by 640, which gives us 0.125 square miles. Therefore, the answer is B, which represents 0.125 square miles.

Question 13

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

Accepted Answer

The circumference of the wheel is calculated using the formula C = πd, where d is the diameter. For a 60 cm diameter, C = π * 60 cm ≈ 188.5 cm. Each pulse corresponds to one full rotation of the wheel, so 10 pulses mean the motorcycle has traveled 10 * 188.5 cm = 1885 cm, which is 18.85 m.

Question 14

An 2.44-meter tall vertical stack of firewood casts a 3.66-meter shadow on horizontal ground.What is the angle of the sun in the horizon?
A) 
B) 
C) 
D)

Accepted Answer

The answer of An 2.44-meter tall vertical stack of firewood...

Question 15

Explain why snowshoes allow a person to walk on top of the snow without sinking in.

Accepted Answer

The answer of Explain why snowshoes allow a person to...

Question 16

A certain sport utility vehicle is equipped with 43.18 cm rims (which correspond to a tire diameter of 65.28 cm).The vehicle is later upgraded to the 48.26 cm rims (which correspond to a tire diameter of 71.63 cm).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 1609 km on the new tires, how many km have you actually driven? (Round your answer to the nearest km.)

Accepted Answer

The answer of A certain sport utility vehicle is equipped...

Question 17

A rubber ball has a diameter of 7.62 cm.What is its volume?
A)68.8 cm3
B)688.3 cm3
C)22.9 cm3
D)229.4 cm3

Accepted Answer

The volume of a sphere is calculated using the formula V = 4/3 * π * r^3. The radius is half of the diameter, so r = 7.62/2 = 3.81 cm. Plugging this into the formula gives approximately 229.4 cm³.

Question 18

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?

Accepted Answer

The answer of The strength of a tree branch is...

Question 19

A rubber ball has a diameter of 7.62 cm.What is its surface area?
A)18.1 cm2
B)1.8 cm2
C)180.6 cm2
D)1806.4 cm2

Accepted Answer

The formula for the surface area of a sphere is 4πr², where r is the radius. Since the diameter is given, we need to divide it by 2 to get the radius: 7.62 cm ÷ 2 = 3.81 cm. Then we can plug this into the formula: 4π(3.81 cm)² = 180.6 cm². Therefore, the surface area of the rubber ball is 180.6 cm², which is answer choice C.

Question 20

A certain unsharpened cylindrical pencil is 0.635 cm in diameter and 25.4 cm long.What is the pencil's volume?
A)16.4 cm3
B)8.2 cm3
C)81.9 cm3
D)163.9 cm3

Accepted Answer

The answer of A certain unsharpened cylindrical pencil is 0.635...

Quiz 7: Length and Length-Related Variables in Engineering

Calculate the paint thickness if 7.57 liters of paint covers a wall 3.05 m high by 9.14 m long.Use appropriate units.

If an object is completely submerged in a fluid, its buoyant force is equal to

How many sheets of standard notebook paper (21.59 cm x 27.94 cm) would it take to cover a football field (45.72 m x 109.73 m)?

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 8.05 km long by 4.83 km wide.How much oil was in the slick? Express your answer in cubic meters.

The second moment of area provides information about an object's

A car travels while consuming 60 liters of petrol (gasoline).What is the car's gas mileage in mpg?

From your home, you walk east and then north.If you were to walk straight home, how far do you have to walk?

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?

A certain unsharpened cylindrical pencil is 0.635 cm in diameter and 25.4 cm long.What is the pencil's surface area?

From your home, you walked east and then north.What is your total distance traveled?

Describe why crushed ice cools your beverage faster than larger ice cubes.

There are 640 acres in a square mile.How many square miles are there in 80 acres?

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?

An 2.44-meter tall vertical stack of firewood casts a 3.66-meter shadow on horizontal ground.What is the angle of the sun in the horizon?

Explain why snowshoes allow a person to walk on top of the snow without sinking in.

A rubber ball has a diameter of 7.62 cm.What is its volume?

A rubber ball has a diameter of 7.62 cm.What is its surface area?

A certain unsharpened cylindrical pencil is 0.635 cm in diameter and 25.4 cm long.What is the pencil's volume?