Dimensional Analysis
The dimensions of velocity are derived from which two basic quantities?
L/T
What has the distance of 10,000 km? The distance across New york, China, the earth, or the sun?
The earths diameter is 12,742 km
The volume of Earth is on the order of 1021 m3. (a) What is this in cubic kilometers (km3)? (b) What is it in cubic miles (mi3)? (c) What is it in cubic centimeters (cm3)?
1012 km3, 2.4 x1011 mi3, 1027 cm3
This prefix means one thousand
kilo or k
This beach has the best waves in San Diego?
any beach
If force has dimensions of mass x acceleration, what are the dimensions of force in terms of fundamental quantities?
M L T-2 (kg m/s2) (F=ma)
Is the mass of the sun 10,000 kg, 109 kg, 1021 kg or 1030 kg ?
1030 kg
The speed limit on some interstate highways is roughly 100 km/h. (a) What is this in meters per second? (b) How many miles per hour is this?
27.78 m/s, 62.14 mph
What prefix would you use for 106?
mega or M
This historic ship, now a museum, was commissioned in 1904
The midway
What are the dimensions of density in terms of fundamental quantities?
M L-3 (kg/m3)
What has a distance of 384,400 km? The distance to the sun, the moon, the closest star, Madagascar?
The moon
American football is played on a 100-yd-long field, excluding the end zones. How long is the field in meters? (Assume that 1 m = 3.281 ft.)
91.44 m
This prefix represented by G stands for what number?
one billion (giga)
This annual event in San Diego is held in July?
Comic-Con
What are the dimensions of pressure in terms of fundamental quantities?
M L-1 T-2 (kg/(m s2))
What is the mass of an average car?
1,000 kg
Mount Everest, at 29,028 ft, is the tallest mountain on Earth. What is its height in kilometers? (Assume that 1 m = 3.281 ft.)
8.84 km
What prefix would you use for 10-6?
micro or mu
This Spanish Explorer is credited with naming San Diego after his ship, the San Diego?
Sebastin vizcaino
Is the following equation dimensionally consistent
s^2+v^2 t^2+a?
L^2+L^2/T^2 T^2+L/T^2
=L^2+L^2+L/T^2
So no, it's not
How big is an atom in meters?
10-10 m
The density of aluminum is 2.7 g/cm3. What is the density in kilograms per cubic meter?
2700 kg/m3
What prefix means one trillionth?
pico or p
San Diego Mesa College is located on the unceded ancestral territory of which indigenous inhabitants?
Kumeyaay People