Question

Write the dimensional formula for the terms (i) linear momentum and (ii) pressure.

Answer 1

Linear Momentum = Mass x Velocity

Now
Velocity = Displacement/Time
Velocity = L/T
So
Linear Momentum= M x LT^-1

So Dimensional Formula of Linear Momentum= M1L1T-1
SI unit of Linear Momentum is kg ms-1
★★★★★★★★★★★★★★★★★★★★★★★

pressure

Dimensional Formulae of Length = [L], Time = [T], Mass = [M]

Pressure, p = Force/Area - - - - - - - - (1)

Force, F = mass × acceleration—————(2)

Acceleration, a = initial velocity- final velocity/ time - - - - - - - - (3)

Velocity, v = displacement/time

V = [L] /[T]

V = [LT^-1] - - - - - - - - (4)

Putting (4) in (3)

Acceleration, a = [LT^-1] - [LT^-1] /[T]

a = [LT^-1] /[T]

a = [LT^-2] - - - - - - - (5)

Putting (5) in (2)

Force, F = [M] × [LT^-2]

F = [MLT^-2] –———————(6)

Putting (6) in (1)

Pressure, p = [MLT^-2]/ [L^2]

Pressure, p = [ML^-1T^-2]