Dimensional formula of pressure gradient

Pressure gradient
[M L−2 T−2]
Written in full: [M¹ L⁻² T⁻² A⁰ K⁰]

How to derive it

Pressure gradient = Pressure difference ÷ Distance

Put in the dimensions of each part: [ML⁻¹T⁻²] ÷ [L] = [M L⁻² T⁻²].

mass (M)
1
length (L)
-2
time (T)
-2
current (A)
0
temperature (K)
0

SI unit

The SI unit of pressure gradient is Pa/m.

Same dimensions as pressure gradient

None of the other quantities on this site share these exact dimensions.

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More from Fluids

QuantityFormula
Pressure[M L−1 T−2]
Density[M L−3]
Surface tension[M T−2]
Coefficient of viscosity[M L−1 T−1]
Kinematic viscosity[L2 T−1]
Thrust[M L T−2]
Relative density[M0 L0 T0]
Velocity gradient[T−1]
Rate of flow[L3 T−1]