What is the force constant of the web?

AI Thread Summary
A spider uses sensory organs in its legs to detect vibrations in its web when prey is caught. The discussion involves calculating the force constant of the web, given that a 1.0×10-3 kg insect causes vibrations at a frequency of 15 Hz. The relationship between frequency and force constant is expressed through the formula frequency = omega/(2*PI), where omega is the square root of K/m. To find the force constant K, the mass m of the insect is used in the calculations. Understanding these dynamics is crucial for grasping how spiders interact with their environment.
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Using sense organs in her legs, a spider can detect vibrations in the web when her prey is captured. When trapped in one web, a 1.0×10-3 kg insect causes the web to vibrate at 15 Hz. What is the force constant of the web?
 
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frequency=omega/2*PI
where omega=sqrt(K/m)

u find K.
m is mass.

hope that makes sense
 
whoops i mean omega/(2*PI)
 
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