2. Biologists think that some spiders "tune" strands of their web to give enhanced response at frequencies corresponding to those at which desirable prey might struggle. Orb spider web silk has a typical diameter of 20 μm, and spider silk has a density of 1300 kg/m3. To have a fundamental frequency at 100 Hz, to what tension must a spider adjust a 12-cm-long strand of silk?

The tension is 2.35x10⁻⁴N

Explanation:

Given:

d = 20 μm = 20x10⁻⁶ m

L = 12 cm = 0.12 m

f = 100 Hz

The transverse velocity is:

(eq. 1)

Where

Ts = web´s tension

μ = linear mass density

The linear mass density is:

(eq. 2)

Where

ρ = density of the spider silk = 1300 kg/m³

The fundamental frequency is:

Replacing eq. 1 and 2 and clearing the tension Ts:

newton's first law of motion

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