Welcome to AZForumla.com - Website dedicated to provide you the formulae which you might need in your computations. Browse Formulas

What is Dimensional Formula of Velocity?

Velocity  is defined as the displacement per unit time. It is a vector quantity. The SI unit of Velocity and speed are same. In simple words velocity can be explained as  speed in specific direction.

Mathematically,
Velocity  = displacement / time .

Dimensional Formula of Displacement  = M0L1T0
Dimensional Formula of Time = M0L0T1

Putting these values in above equation we get,
Dimensional Formula of Velocity = M0L1T-1
SI unit of Velocity is ms-1

posted in Dimensional Formulae | 0 Comments

What is Dimensional Formula of Coefficient of Viscosity?

Viscosity is defined as the ratio of force require to shear a liquid to  the velocity of shear (Shear means when adjacent layers of liquid are made to slide over each other ).

Coefficient of viscosity is defined as tangential force required to maintain a unit velocity gradient between two parallel layers of liquid of unit area.

Mathematically,
Coefficient of viscosity (η)= Fr/Av    ——- F= tangential Force, Area, r= distance between the layers, v= velocity.

Dimensional Formula of Force = M1L1T-2.
Dimensional Formula of Area= M0L2T0.
Dimensional Formula of distance= M0L1T0.
Dimensional Formula of velocity= M0L1T-1.

Putting these values in above equation we get,

[η]= [M1L1T-2][M0L1T0] / [M0L2T0] [M0L1T-1] = [M1L-1T-1]

Dimensional Formula of Coefficient of viscosity (η)=[M1L-1T-1]
SI unit of Coefficient of viscosity (η) is Pascal-second

posted in Dimensional Formulae | 28 Comments

What is Dimensional Formula of Distance traveled in nth second?

Distance traveled by the particle in nth second is defined as the difference between the distance travelled by the particle in n second and the distance travelled by the particle in (n-1) second.

Mathematically,
Distance travelled in nth second= Distance/Time.

Dimensional Formula of Distance= M0L1T0.
Dimensional Formula of Time= M0L0T1.

Putting these values in above equation we get,

Dimensional Formula of Distance traveled in nth second = M0L1T0/M0L0T1 = M0L1T-1
SI unit of  Distance traveled in nth second is ms-1.

posted in Dimensional Formulae | 2 Comments

What is Dimensional Formula of Reynolds number?

Reynolds number is defined as the ratio of dynamic pressure to shearing stress.It is a non dimensional parameter.Reynolds number predicts the extent of turbulence in a fluid, based on how fast the fluid is flowing, the geometry of flow(depth and wide etc…)  density  and viscosity of fluid.

Mathematically,

Reynolds number (Re) = Dynamic Pressure (ρ v2) / Shearing Stress (μ v / L)

Re   = ρ v2 / (μ v / L)

Re = ρ v L / μ

where

Re = Reynolds Number (non-dimensional)

ρ = density

v = velocity

μ = dynamic viscosity

L= characteristic length

Dimensional Formula of Density (ρ) =M1L-3T0
Dimensional Formula of Velocity(v) = M0L1T-1
Dimensional Formula of Dynamic viscosity(μ) = M1L-1T-1
Dimensional Formula of Length(L) = M0L1T0

Putting these values in above equation we get,

Dimensional Formula of Reynolds Number = (M1L-3T0)(M0L1T-1)(M0L1T0)/(M1L-1T-1)

Dimensional Formula of Reynolds Number = M0L0T0
Reynolds Number has no units (non dimensional).

posted in Dimensional Formulae | 2 Comments

What is Dimensional Formula of Rydberg constant?

Rydberg formula expressed wave number in terms of constant common to all series of lines known as  Rydberg constant.

Rydberg formula defines the  relationship of frequencies in one series of lines.Rydberg formula: N = R [1/(n+a)2 – 1/ (m + b)2] where N is wave number, R is Rydberg constant; m and n are integers, m is greater than n; and a and b are constants for particular series.

Mathematically,
Rydberg constant (R) = me4 / 8π  ε02  h2
where

m = electron mass
e = electron charge
ε0 = permittivity of free space
h = Planck’s Constant

so putting all the dimensional formulas in the above equation we get

Dimensional formula of Rydberg constant = [M1L0T0] [M0L0A1T1]4 / [(M-1L-3T4A2)2] [(M1L2T-1)2]  ]

Dimensional formula of Rydberg constant = M0L-1T0
SI unit of Rydberg constant is m-1

posted in Dimensional Formulae | 4 Comments

Page 20 of 28« First...10...1819202122...Last »