Is a Spring Constant of 0.005 N/m Plausible for a Spider's Web?

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Homework Help Overview

The discussion revolves around the plausibility of a spring constant of 0.005 N/m for a spider's web, particularly in the context of a problem involving a small fly caught in the web and its vibrational frequency. The subject area includes concepts from mechanics and oscillatory motion.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore the calculation of the spring constant based on the given frequency and mass of the insect. Questions arise regarding the validity of the small spring constant and its implications. Some participants share their calculations and seek clarification on the correctness of their results.

Discussion Status

The discussion is active, with participants sharing their calculations and questioning the accuracy of the spring constant. Some guidance has been offered regarding significant figures and the precision of the calculations, but there is no explicit consensus on the correctness of the spring constant value.

Contextual Notes

Participants note that the answers in the online platform require three significant figures, which may affect the interpretation of the spring constant value provided.

metalmagik
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I received a spring constant on the problem below to be .005 N/m.

I was wondering if this was even possible? When I got the frequency in the next part of the question, the frequency made sense, but i never thought a spring constant could come out to be so small.



A small fly of mass 0.13 g is caught in a spider's web. The web vibrates predominately with a frequency of 1.0 Hz.

(a) What is the value of the effective spring constant k for the web?

(b) At what frequency would you expect the web to vibrate if an insect of mass 0.54 g were trapped?




So is .005 N/m an acceptable spring constant? Thanks to anyone who responds.
 
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metalmagik said:
I received a spring constant on the problem below to be .005 N/m.

I was wondering if this was even possible? When I got the frequency in the next part of the question, the frequency made sense, but i never thought a spring constant could come out to be so small.



A small fly of mass 0.13 g is caught in a spider's web. The web vibrates predominately with a frequency of 1.0 Hz.

(a) What is the value of the effective spring constant k for the web?

(b) At what frequency would you expect the web to vibrate if an insect of mass 0.54 g were trapped?




So is .005 N/m an acceptable spring constant? Thanks to anyone who responds.
Any spring constant is possible. It appears you have done the calculation correctly.
 
ah it's not right! here's my work:

omega = 2pi f

omega = 6.28 rad/sec

omega = rad(k/m)

6.28 = rad(k/.00013)

k=.005 N/m

i apologize for not using latex, but I do not know how to input omega and whatnot into it. Please help me with this problem!
 
metalmagik said:
ah it's not right! here's my work:

omega = 2pi f

omega = 6.28 rad/sec

omega = rad(k/m)

6.28 = rad(k/.00013)

k=.005 N/m

i apologize for not using latex, but I do not know how to input omega and whatnot into it. Please help me with this problem!
Why do you think it is not right? You could go out another decimal place to get more precision, and should since you were given 2 significant figures in the data. Other than that it looks OK.
 
No but, I entered it in Webassign and it told me it was not correct. The answers in web assign should be to 3 sig figs. Do you know what I am doing wrong?
 
can anyone help me with this problem pleasee? It's the last one I have on my webassign, I need a 100! thank you
 
metalmagik said:
No but, I entered it in Webassign and it told me it was not correct. The answers in web assign should be to 3 sig figs. Do you know what I am doing wrong?
.005N is only 1 significant figure. If they are expecting three, you need to give them 3.
 

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