• Support PF! Buy your school textbooks, materials and every day products Here!

Error propagation for effective spring constant

  • Thread starter Tallah
  • Start date
  • #1
1
0

Homework Statement



Calculate the error propagation for the theoretical effective spring constant for the two springs. The actual values don't matter, it's just supposed to show how it would be calculated.

Homework Equations



ke=k1*k2/(k1+k2)

The Attempt at a Solution



ke=A*B/(A+B) (Let A=k1, B=k2)

I have come up with two possibilities, but I'm not sure if either is correct. The addition in the denominator is confusing me.

Possibility 1: σ(ke)/|ke|=σ(A)/|A| + σ(B)/|B| + σ(A) +σ(B)


Possibility 2: σ(ke)/|ke|=σ(A)/|A| + σ(B)/|B| + (σ(A) +σ(B))/|A+B|
 

Answers and Replies

Related Threads for: Error propagation for effective spring constant

  • Last Post
Replies
0
Views
5K
  • Last Post
Replies
1
Views
2K
Replies
11
Views
2K
  • Last Post
Replies
5
Views
697
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
0
Views
1K
  • Last Post
Replies
3
Views
6K
  • Last Post
Replies
9
Views
5K
Top