Angular Frequency of Damped Oscillator

  • Thread starter cd6
  • Start date
  • #1
cd6
1
0
1. What is the angular frequency of a damped oscillator whose spring stiffness is 15 cm with a 19.6 N mass and a damping constant of 15 kg/s?



2. ω0 = √(k/m) ----where k = spring constant and m=mass

ζ= c/(2√(mk)) -----where m = mass, k = spring constant, and c = damping constant



3. I first converted N to kg to get the mass. It resulted in ≈ 2 kg. The 15 cm would also be converted to .15 m. However, I don't know which formula to use. ζ is dimensionless but utilizes all three values given in the question; I need my answer in rad/s. The first equation using ω0, too, wouldn't give me those unit. I really just need a formula. This is my first post here, so I'm sorry if I'm lacking an appropriate description. I seriously just don't understand this problem. Thank you in advance!

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
ehild
Homework Helper
15,543
1,912
1. What is the angular frequency of a damped oscillator whose spring stiffness is 15 cm with a 19.6 N mass and a damping constant of 15 kg/s?



2. ω0 = √(k/m) ----where k = spring constant and m=mass

ζ= c/(2√(mk)) -----where m = mass, k = spring constant, and c = damping constant



3. I first converted N to kg to get the mass. It resulted in ≈ 2 kg. The 15 cm would also be converted to .15 m. However, I don't know which formula to use. ζ is dimensionless but utilizes all three values given in the question; I need my answer in rad/s. The first equation using ω0, too, wouldn't give me those unit. I really just need a formula. This is my first post here, so I'm sorry if I'm lacking an appropriate description. I seriously just don't understand this problem. Thank you in advance!

Homework Statement





Homework Equations





The Attempt at a Solution


ζ is not the angular frequency of the damped oscillator.

Read
http://en.wikipedia.org/wiki/Harmonic_oscillator#Damped_harmonic_oscillator

The unit of angular frequency is 1/s. What is the unit of √(k/m)?

ehild
 

Related Threads on Angular Frequency of Damped Oscillator

Replies
1
Views
1K
Replies
1
Views
4K
  • Last Post
Replies
4
Views
15K
Replies
1
Views
1K
  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
2
Views
3K
Replies
6
Views
167
Replies
11
Views
358
  • Last Post
Replies
3
Views
153
  • Last Post
Replies
1
Views
1K
Top