102
N. Chari et al.
Example 2—Case of an Aluminium Foil
Aluminium foil thickness is 100 μ = 0.01 cm
Density ≈2.8 gm/cm3
Weight = 2.8 × 0.01 = 2.8 × 10−2gm
Weight = 28 mg
Wingbeat Frequency ϑ = 50 cps
a = r · θ
k = radius of gyration
I = Mb2
3
= Mk2
r =
b
√
3
If θ = 300
∴a =
1
√
3
× 30
180 × π = 0.302 cm
E = 2π2ma2ϑ2 = 2 × π2 × 0.028 ×
1
√
3
2
× 502
E = 460.15 ergs.
See Tables 7.1, 7.2, 7.3