Formula Sheet: Mechanical Properties of Liquid Class 11

In this post, we will learn Class 11 Chapter 9 Mechanical Properties of Liquid Formulas with the help of formula sheets. We provide a comprehensive Mechanical Properties of Fluids formula sheet, meticulously organised to help you revise quickly and solve complex fluid dynamics problems like Bernoulli’s theorem with total confidence.

Table of Contents

Mechanical Properties of Liquid Formula Sheet

1. Fluid Statics

Pressure:

P = \frac{F}A

Pressure on Depth:

P = P_a + \rho gh

Pascal’s Law (Hydraulic Lift):

\frac {f_1}A_1 = \frac{F_2}A_2

2. Surface Tension

Surface Tension:

T = \frac{f}l

Excess pressure inside a liquid drop:

P = \frac{2S}R

Excess Pressure in a Soap Bubble:

P = \frac{4S}R

Ascent Formula:

h = \frac{2Scos\theta}{r\rho g}

3. Fluid Dynamics

Equation of Continuity:

A_1V_1 = A_2V_2

Bernoulli’s Equation:

P + \frac{1}2 \rho v^2 + \rho gh = constant

Speed of Efflux:

v = \sqrt {2gh}

4. Viscosity

Viscous Force:

F = -nA\frac{dv}{dx}

Stokes Law:

F = 6\pi \eta rv

Terminal Velocity:

v_t = \frac{2r_2 (\rho – \sigma)g} {9 \eta}

Critical Velocity:

V_c = \frac{k\eta}{\rho D}

Poiseuille’s Formula:

Q = \frac {\pi Pr^4}{8\eta l}

Renould’s Number:

R_e = \frac{\rho vd}{\eta}

Nomenclature & Symbols Table

Symbol	Symbol
P	Pressure
P_a	Atmospheric Pressure
ρ	Density of the Fluid
σ	Density of the Object/Solid
g	Acceleration due to gravity
h	Height or Depth
S	Surface Tension
θ	Angle of Contact
R/r	Radius (Capillary or Drop)
A	Cross-sectional Area
v	Velocity of Fluid
V_t	Terminal Velocity
η	Coefficient of Viscosity
R_e	Reynolds Number
Q	Rate of Volume Flow

Formula Sheet: Mechanical Properties of Liquid Class 11

Mechanical Properties of Liquid Formula Sheet

1. Fluid Statics

2. Surface Tension

3. Fluid Dynamics

4. Viscosity

Nomenclature & Symbols Table

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