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In a damped oscillator, if the energy decreases to 25% of its initial value in 10 seconds, what is the damping ratio?

Practice Questions

1 question
Q1
In a damped oscillator, if the energy decreases to 25% of its initial value in 10 seconds, what is the damping ratio?
  1. 0.1
  2. 0.2
  3. 0.3
  4. 0.4

Questions & Step-by-step Solutions

1 item
Q
Q: In a damped oscillator, if the energy decreases to 25% of its initial value in 10 seconds, what is the damping ratio?
Solution: Using E(t) = E_0 e^(-2ζω_nt), we find ζ = 0.2.
Steps: 0

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