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A small fly of mass 0. 30 g is caught in a spider's web. the web oscillates predominantly with a frequency of 4. 3 hz. part a what is the value of the effective spring stiffness constant k for the web?

Sagot :

A small fly of mass 0. 30 g is caught in a spider's web. the web oscillates predominantly with a frequency of 4.3 Hz. The value of the effective spring stiffness constant k for the web is 0.21 N/m

Frequency of the oscillation is the number of oscillation in per unit time. It's SI unit is Hertz or s⁻¹.

Spring stiffness constant k is a measure of the stiffness of spring.

The Frequency of the oscillation is given by the following formula:

f = [tex]\sqrt{k/4\pi m}[/tex]

where, f is the frequency of web

           k is the stiffness constant of web

            m is the mass of small fly

On rearranging the above equation,

k = 4π²f²m

⇒ k = 4 (3.14)² (4.3)² 0.0003

⇒ k = 0.21 N/m

Hence, the Stiffness constant k for the web is 0.21 N/m

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