Deck 6: Fundamental Dimensions and Units

Question 1

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: $T = 2 \pi \sqrt { \frac { L } { g } }$ where $T =$ period in seconds
$L =$ length of pendulum
$g =$ gravitational acceleration, $9.8 \mathrm {~m} / \mathrm { s } ^ { 2 }$ What is the appropriate unit for L if the preceding equation is to be homogeneous in units?

A) meters
B) liters
C) $\mathrm { m } / \mathrm { s } ^ { 2 }$
D) seconds

Answer 1

meters

Question 2

The speed of sound in a fluid can be calculated using the following equation: What is the appropriate unit for B if the preceding equation is to be homogeneous in units?

Answer 2

B

Question 3

When a steel cookie sheet is placed in an oven and heated, it expands due to the temperature change. The change in area of the cookie sheet is modeled using the following equation: where What is the appropriate unit for if the preceding equation is to be homogeneous in units?

Answer 3

A

Question 4

The amount of heat needed to change the temperature of an object can be calculated using the following equation: where What is the appropriate unit for if the preceding equation is to be homogeneous in units?

Question 5

A motorcyclist who weighs 150lbs accelerates his 200kg motorcycle at a rate of over
a distance of 100 yards in 5 seconds. Convert all of the values given to SI units.
Motorcyclist weight: ______ N
Motorcycle weight: _______kg
Speed: _____ m/s2
Distance: ____m
Time: ______ sec

Question 6

A sheet of notebook paper is four thousandths of an inch thick. What is the thickness, in
centimeters, of a 500-sheet stack of notebook paper? ________

Question 7

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

A) 5g
B) 5kg
C) 5000kg
D) 0.005kg
E) None of the above

Question 8

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

Question 9

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?

A) 1000g
B) 1kg
C) 31.2kg
D) 31.2g
E) None of the above

Question 10

The Btu (British thermal unit) is defined as the amount of heat required to raise the
temperature of of water by . If a certain home's furnace is rated at what is
this rating in calories per second? ________

Question 11

Which of the following are fundamental SI units?

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

Question 12

Gravitational acceleration near the Earth's surface is or 32.2 . Which is greater, an acceleration of ?

Question 13

While driving down the highway you notice that your speedometer reads 50 miles/hr and 80 km/hr. Which is faster, one mile per hour or one kilometer per hour?

A) one mile per hour
B) one kilometer per hour

Question 14

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

Question 15

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

Question 16

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 2 liter bottle?

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

Question 17

The force between two charged particles can be calculated using the following equation: where What is the appropriate unit for k if the preceding equation is to be homogeneous in units?

Question 18

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

Question 19

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