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Solving for Spring Constant of Oscillating Spring

  • Thread starter Glorzifen
  • Start date
  • #1
25
0

Homework Statement


A 7.0 kg mass is hung from the bottom end of a vertical spring fastened to the ceiling. The mass is set into veritcal oscillations with a period of 2.6s

Find the spring constant.

Homework Equations


w = [tex]\sqrt{k/m}[/tex]
w = 2pi * f
f = 1/T

The Attempt at a Solution


f = 1/T
= 1/2.6
= 0.385 Hz
w = 2pi * 0.385
= 2.42
w = [tex]\sqrt{k/m}[/tex]
w = k/7
5.85 = k/7
k = 40.96

Feel like my math could be wrong at the end there. Overall though, is this how its to be done? I tried using F = -kx...ma = -kx but I didn't have an 'x'.
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31
Yes that is how it should be done. Don't have a calculator to check your answers though.
 
  • #3
ehild
Homework Helper
15,409
1,813
There is some rounding inaccuracy but otherwise it is correct.

ehild
 

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