# All Dynamics Formulas List

## Young Modulus of Isotropic Elastic Solids

#### Formula:

E = 9μK / (μ+3K)

Where,

E = Young Modulus of Isotropic Elastic Solids
μ = Lame Coefficient
K = Bulk Modulus

## Terminal Velocity

#### Formula:

Vt = √ ((2 x m x g) / (ρ x A x Cd))

Where,

Vt = Terminal Velocity (Maximum Falling Speed)
m = Mass of the Falling Object
g = Acceleration due to Gravity
ρ = Density of Fluid
A = Projected Area of the Object
Cd = Drag Coefficient

## Impedance of Forced Oscillations

#### Formula:

z = 2γ + i(wf2-w02/wf)

where
z=Impedance of Forced Oscillations
wf=Forcing Angular Frequency
y=Damping Factor
w0=Undamped Angular Frequency
i=Imaginary Part

## Oscillation Period of Double Pendulum

#### Formula:

p = 2π (l / (2 + √2g))0.5 Where,

p = Oscillation Period of Double Pendulum
l = Length
g = Gravitational Acceleration

## Mach Wedge Angle for Shock Waves

#### Formula:

sin θw = vp / vb

Where,

sin θw = sine θw
θw = Mach Wedge Angle of Shock Waves
vp = Wave Speed
vb = Body Speed