2 - dimensional analysis Flashcards
1
Q
dimensions
A
describe what sort of quantity you are measuring
M - mass
L - length
T - time
2
Q
[velocity]
A
LT^-1
3
Q
[acceleration]
A
LT^-2
4
Q
[force]
A
MLT^-2
5
Q
dimensionless
A
- if all dimensions cancel out the quantity is dimensionless
all numbers and angles and pi don’t have dimensions
6
Q
summing dimensions
A
- can only add/subtract terms with same dimensions
L + L = L
7
Q
[angles]
A
arc length/ radius = L/L = 1
dimensionless
8
Q
[work done]
A
ML^2T^-2
9
Q
[moment]
A
ML^2T^-2
10
Q
[power]
A
ML^2T^-3
11
Q
[pressure]
A
ML^-1T^-2
12
Q
dimensions of second derivatives
A
[d^2x/ dt^2 ] = [x] /[t]^2
