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Unstretched Spring and Angular Velocity Problem

[SOLVED] Unstretched Spring and Angular Velocity Problem

1. Homework Statement

A disk of mass 73 kg is held by a spring of unstretched length 88 cm and stiffness constant 430 N/cm, and rests on a frictionless table. It is then orbited in a circle at angular velocity .675 rad/s.

By how much is the spring stretched? Answer in units of cm.

2. Homework Equations

After a bit of derivation, I came up with x = r/((k/mw^2)-1).

3. The Attempt at a Solution

r = 88
k = 430
m= 73
w = .675

It does not seem to work out. Am I being to complicated about it? Any help/hand-holding is greatly appreciated.
 

Answers and Replies

335
0
Force acting on the disc in circular motion== mv^2/r

Now use hook's law to calculate extension..
 
Doc Al
Mentor
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After a bit of derivation, I came up with x = r/((k/mw^2)-1).
Looks good to me.

3. The Attempt at a Solution

r = 88
k = 430
m= 73
w = .675
Make sure you are using standard units. Express lengths (and k) in terms of meters, not cm.
 
Thanks for the catch on conversion. I changed length to .88 and K to 4.3, getting an answer in m. I then converted it to cm but the online system still says I am incorrect.

I can't use mv^2/r because I don't have v. That is why I did that insane derivation.

Or am I wrong?

I think I'm a few baby steps away from having this.
 
Doc Al
Mentor
44,827
1,083
Uh oh. Did I go the wrong way with it? 43000N/m?
 
Doc Al
Mentor
44,827
1,083
That's better.
 
Oh, thank you so much *sighs in relief*

Converting correctly makes the problem work. Who knew? :D
 

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