# Angular Frequency of Damped Oscillator

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!

## Answers and Replies

ehild
Homework Helper
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!

## The Attempt at a Solution

ζ is not the angular frequency of the damped oscillator.