7
Moment of Inertia and Mutilation Studies of an Insect Wing
105
Table 7.3 Comparision between translatory and rotary motions
Translatory motion
Rotary motion
Parameters
Symbol Formula Units
Parameters
Symbol Formula
Units
Displacement(S) S
–
cm
Angular
Displacement
θ
–
rad
Velocity
V
V = d/t
cm/s
Angular
Velocity
ω
ω = dθ
dt
Radians /sec
Acceleration
a
α =
dv
dt or d2s
dt2
cm/s2
Angular
Acceleration
α
α =
dω
dt or d2θ
dt2
Radian
Sec2
Mass
M
–
gm
Moment of
Inertia
I
I =
MK2
Kg·m/S2
Force
F
F = m a
dyne
Torque or
Couple
C
C = I α
Ra·Kg·M2/S2
Momentum
P
P = m
·v
gm·cm/s
Angular
Momentum
L
L = I·ω
rad –Kg·m2/s
Work
W
W = f·d
gm·cm2/s2
Work
W
C.θ
Kinetic Energy
K·E
K·E =
1/2 mv2
erg or
g·cm2/s2
Kinetic
Energy
K·E
K.E =
1
2 Iω2
Joule
References
1. Chari (2014). Bio-aerodynamics of Avian Flight. NDRF.
2. Shyy, W., Lian, Y., Tang, J., Viieru, D., & Liu, H. (2008). Aerodynamics of low Reynolds number
flyers. Cambridge University Press.
3. Iyer, P. E. S. (1959). Properties of Matter. Central Art Press.
4. Vengal Reddy, M. (1994). Bio-aerodynamics studies on flight paramters, moment of inertia and
power requirements of an insect and a bird (T.Javanicaand M.Orientalis). Ph.D Thesis. Kakatiya
Universtiy, Warangal, A.P. India.