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Intan Kirana

Minggu, 01 Agustus 2010

Dimensional Analysis

DIMENSIONAL ANALYSIS

Velocity

Formula

Dimension

v= d/t
v – velocity

d –distance

t –time

d dimension = L

t dimension =T

è v dimension = [L][T]-1

Acceleration

Formula

Dimension

a = v/t
v – velocity

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


F – Force

m - Mass
a - Acceleration

m dimension = M

a dimension = [L][T]-2

è F dimension = [M][L][T]-2

Or

F = mv/t

m - Mass
v – velocity

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

P - Momentum
m – Mass

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

W - Work

F - Force

d - distances

F dimension = [M][L][T]-2
d dimension = L

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
t dimension = T

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

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