Dimensional Analysis Quiz 1
Part A
See if you can determine the dimensions of the following quantities:
-
volume
-
acceleration (velocity/time)
-
density (mass/volume)
-
force (mass × acceleration)
-
charge (current × time)
- \(L^3\)
- \(L/T^2\)
- \(M/L^3\)
- \(M\cdot L/T^2\)
- \(I\cdot T\)
Part B
Now find the dimensions of these:
-
pressure (force/area)
-
(volume)2
-
electric field (force/charge)
-
work (in 1-D, force × distance)
-
energy (e.g., gravitational potential energy = mgh = mass × gravitational acceleration × height)
-
square root of area
- \(M\cdot L^{-1}\cdot T^{-2}\)
- \(L^6\)
- \(M\cdot L\cdot I^{-1}\cdot T^{-3}\)
- \(M\cdot L^2/T^2\)
- \(M\cdot L^2/T^2\)
- \(L\)
NOTE: Dimensions of work = Dimensions of energy