DIMENSIONAL ANALYSIS
Velocity
Formula | Dimension |
v= d/t d –distance t –time | d dimension = L t dimension =T è v dimension = [L][T]-1 |
Acceleration
Formula | Dimension |
a = v/t t –time | v dimension = [L][T]-1 t dimension =T è a dimension = [L][T]-1[T]-1 = [L][T]-2 |
Force
Formula | Dimension |
F=ma
m - Mass | m dimension = M a dimension = [L][T]-2 è F dimension = [M][L][T]-2 |
Or F = mv/t m - Mass t – time (in second) | m dimension = M v dimension = [L][T]-1 t dimension = T è F dimension = [M][L][T]-1[T]-1 |
Momentum
Formula | Dimension |
P=mv v – velocity | m dimension = M v dimension = [L][T]-1 è P dimension = [M] [L][T]-1 |
Kinetic Energy
Formula | Dimension |
EK = (1/2)mv2 Ek – Kinetic Energy m – Mass v - velocity. | m dimension = M v dimension = [L][T]-1 è EK dimension = [M] [L]2[T]-2 |
Potential Energy
Formula | Dimension |
Ep = m x g x h Ep –Potential Energy m - Mass g – Gravitation h – Height | m dimension = M g dimension = [L][T]-2 h dimension = L è Ep dimension = [M][L][T]-2[L] = [M][L]2[T]-2 |
Work
Formula | Dimension |
W= F x d F - Force d - distances | F dimension = [M][L][T]-2 è W dimension = [M][L][T]-2[L] = [M][L]2[T]-2 |
Impulse
Formula | Dimension |
I = Favg.∆t I – impulse Favg – Average Force t – time (in second) | F dimension = [M][L][T]-2 è I dimension = [M][L][T]-2[T] = [M][L][T]-1 |
or I = m∆v m – Mass v –Velocity | m dimension = M v dimension = [L][T]-1 è I dimension = [M][L][T]-1 |