Deck 6: Fundamental Dimensions and Units

Question 1

The ice at a certain hockey rink is made by freezing water that is 40 mm deep.How many
gallons of water does it take? Approximate the rink as a 60 m by 25 m rectangle.

Answer 1

60 liters

Question 2

Convert the information given in the table below from SI units to USCS:

Answer 2

Question 3

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, furlongs

Answer 3

A

Question 4

What is the difference between "dimensions" and "units?"

Question 5

Which of the following are fundamental dimensions:

A)length, volume, power, mass, time
B)temperature, time, mass, luminous intensity
C)force, energy, power, weight
D)temperature, time, mass, luminosity
E)time, temperature, length, electrical current, density

Question 6

The fundamental frequency of a vibrating guitar string is modeled by the following equation:

Question 7

Convert the information given in the table below from USCS to SI units:

Question 8

How many times does the average human heart beat during a lifetime?

Question 9

When a steel 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:

Question 10

Convert the information given in the table below from USCS to SI units:

Question 11

Circle the fundamental dimensions and write the fundamental SI units adjacent to each
fundamental dimension:

Question 12

The amount of time it takes for a pendulum to swing "to-and-fro" through one complete
cycle is called the "period" and is calculated using the following equation:

Question 13

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:

Question 14

Calculate the number of liters of water that will fit into an aquarium with dimensions: 0.6 m

Question 15

According to recent statistics, a new case of HIV is diagnosed every nine and a half minutes.
How many cases are diagnosed per year?

Question 16

The speed of sound in a fluid can be calculated using the following equation:

Question 17

Which of the following are fundamental SI units:

A)seconds, meters, liters
B)seconds, meters, grams
C)Celsius, seconds, kilograms
D)Kelvins, candela, kilograms
E)hours, meters, Watts

Question 18

The amount of time it takes for a pendulum to swing "to-and-fro" through one complete
cycle is called the "period" and is calculated using the following equation: What is the appropriate unit for L if the preceding equation is to be homogeneous in units?

Question 19

Convert the information given in the table below from SI units to USCS:

Question 20

The friction force between two surfaces is modeled using the following equation:

Question 21

Convert the following:

Question 22

The force between two charged particles can be calculated using the following equation:

Question 23

A garden plot is 60 m long by 30 m wide.Express the area of the garden in and hectares.

Question 24

Present the results of the following operations using the proper number of significant digits:

Question 25

What is the temperature difference between your body and the classroom in:
a.kelvin
b.degrees Celsius

Question 26

A motorcyclist who weighs accelerates his motorcycle at a rate of over
a distance of 100 yards in 5 seconds.Convert all of the values given to U.S.Customary units.

Question 27

Question 28

The rate at which heat energy is conducted through a wall is modeled by the following
equation:

Question 29

Question 30

The pressure exerted on an object while submerged in a fluid can be calculated using the
following equation:

Question 31

The amount of heat needed to change the temperature of an object can be calculated using the
following equation:

Question 32

A motorcyclist's final speed after 2 minutes is 165 miles per hour and the peak power
generated was 115 horsepower.Convert all of the values given to U.S.Customary units.

Question 33

A new record for running the stairs of the Empire State Building was set on February 3,

Question 34

Express the work done Work (Force)(dist) by a 200 N force exerted over a distance of 15
m using SI units.

Question 35

Determine the number of significant digits for the following numbers:

Question 36

Question 37

A motorcyclist's final speed after 2 minutes is 165 miles per hour and the peak power
generated was 115 horsepower.Convert all of the values given to SI units.

Question 38

During this feat, the individual generated an average power of approximately 0.27hp.
Express this power in watts.

Question 39

A racquetball court is 12 m long by 6 m wide by 6 m high.Express the volume of the
racquetball court in m and liters.

Question 40

What's the difference between weight and mass?

Question 41

Is one degree temperature difference in Celsius equal to one temperature difference in
Kelvin? Why or why not?

Question 42

One milliliter (ml) is the volume in one cubic centimeter (cc) .How many $c c {~ }^ { \prime } s$ of soda would it take to fill a 2literbottle?

A) 0.002
B) 2
C) 200
D) 2000
E) None of the above

Question 43

A "micron" is defined as one-millionth of a meter.The average diameter of a strand of
human hair is 60 microns.How many of these hairs, laid sideways next to each other, would it
take to cover 3 cm?

Question 44

A sheet of notebook paper is one-tenth of a centimeter thick.What is the thickness, in
centimeters, of a 500-sheet stack of notebook paper?

Question 45

The acceleration due to gravity at or near the surface of the moon is approximately .This is equal to:

Question 46

One bushel is four pecks and one peck is approximately 8.8 liters.How much is 100 bushels, in SI units?

Question 47

One troy ounce is 20 pennyweights, one pennyweight is 24 grains, and one grain is approximately 65 milligrams.How much is 1000 troy ounces, in SI units?

Question 48

While driving down the highway you notice that your speedometer reads 22 m/s and 80km hr .
Which is faster, one meter per second or one kilometer per hour?

Question 49

The calorie is defined as the amount of heat required to raise the temperature of 1 g of water
by If a certain home's furnace is rated a h, what is this rating in calories per
second?

Question 50

One carat is five grams.In SI units this would be: