Physics, asked by bhanusai2254, 1 year ago

Derive the dimensional formula for pressure and work done

Answers

Answered by pratheeksha47

DIMENSIONAL FORMULA
Quantity Relation with other quantities Dimensional form

pratheeksha47: Work Force × Distance L2 MT-2

pratheeksha47: Pressure Force/area L -1MT-2
Angle Arc/radius L0 M0 T0
Angular, velocity Angular/time L0 M0 T-1
Period Time L0 M0 T
Frequency No. of vibration/time L0 M0 T-1
Stress Force/area L-1 MT-2
Strain Change in length/length L0 M0 T0
Elasticity Stress/strain L-1 MT-2
Surface Tension Force/length L0 MT-2
Viscosity Pressure/velocity gradient L-1 MT-1

Answered by sourav352

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]

Concept—SI base unit

Mass—kg

Displacement—m

Time—s

—

Work = Force x Displacement | J = N•m

Force (N) = Mass x Acceleration

Acceleration = m•s^2

Work = Mass x Acceleration x Displacement

Work in base SI units = kg•m/s^2•m =

kg•m^2/s^2

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